Journal articles: 'Nonlinear behavioural modelling'

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O'Droma, Mairtin, Serban Meza, and Yiming Lei. "New modified saleh models for memoryless nonlinear power amplifier behavioural modelling." IEEE Communications Letters 13, no. 6 (2009): 399–401. http://dx.doi.org/10.1109/lcomm.2009.090222.

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O'droma, Mairtin, Serban Meza, and Yiming Lei. "New modified Saleh models for memoryless nonlinear power amplifier behavioural modelling." IEEE Communications Letters 13, no. 12 (2009): 1007. http://dx.doi.org/10.1109/lcomm.2009.12.0902222.

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Kim, Kyunghoon, Bongsub Song, Junan Lee, Kwangsoo Kim, Jung Han Choi, and Jinwook Burm. "A behavioural modelling of nonlinear RF power amplifiers using noise compensation technique." International Journal of Electronics 100, no. 12 (2013): 1675–82. http://dx.doi.org/10.1080/00207217.2013.766909.

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Chen, Xinyuan, and Inhi Kim. "Modelling Rail-Based Park and Ride with Environmental Constraints in a Multimodal Transport Network." Journal of Advanced Transportation 2018 (October 4, 2018): 1–15. http://dx.doi.org/10.1155/2018/2310905.

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Environmental sustainability is a significant aspect in the sustainable development of modern urban cities, especially in the road transport system. As traffic demands increase, public transport requires more promotion to accommodate the increasing travel demands while maintaining the environmental quality. Public transport, however, is less attractive in vast suburb areas mainly due to its longer travel distance and waiting time. Therefore, this paper proposes a rail-based Park-and-Ride (RPR) scheme to promote public transport in the multimodal transport network. To remedy the heterogeneous distribution of vehicle pollutants in the network, regulations in environmental sensitive districts are required and studied in this paper. To quantitatively evaluate and analyse this joint RPR and environmental regulation strategy in multimodal transport systems, this paper develops an environmental constrained combined modal split and traffic assignment (EC-CMSTA) model. The proposed formulation adopts the concept of fix-point to reformulate the nonlinear complementarity conditions associated with the combined modal split and user equilibrium conditions, which is subsequently incorporated into a VI formulated nonlinear complementarity conditions associated with environmental constraints. The proposed VI formulation can handle a general constraint structure, which enhances the modelling adaptability and flexibility. The strictly monotone and Lipschitz continuity properties of this model are rigorously proved, giving rise to efficient algorithms for the model. A customized projection based self-adaptive gradient projection (SAGP) algorithm is then developed. Numerical studies demonstrate that the EC-MSTA model could enhance the behavioural modelling of network users’ travel decisions and assist in quantitatively evaluating the effectiveness of RPR schemes and environmental regulations.

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Daunizeau, Jean, Vincent Adam, and Lionel Rigoux. "VBA: A Probabilistic Treatment of Nonlinear Models for Neurobiological and Behavioural Data." PLoS Computational Biology 10, no. 1 (2014): e1003441. http://dx.doi.org/10.1371/journal.pcbi.1003441.

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Xing, Li, Qingshuai Cao, and Ru Zhang. "Structural behaviour of inner set bolted joints in steel tubes under tension." Advances in Structural Engineering 23, no. 8 (2020): 1601–13. http://dx.doi.org/10.1177/1369433219898084.

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In this article, the structural behaviour of a new continuous joint of steel tube under tension is systematically studied. Structural analyses of six typical joints under tension are carried out. The experimental set-up and details of the specimens are introduced, followed by descriptions of the results and experimental observations. Based on the experimental results, the main behavioural patterns are discussed and the salient response characteristics related to stress concentration and capacity are examined. An ideal elastoplastic stress–strain relationship, Mises yield criterion and geometric nonlinear finite element analysis model are established, and a detailed description of the modelling assumptions is presented. A large number of finite element parameters are further analysed. The experimental and numerical findings presented in this article offer direct information on the influence of key bearing capacity properties, such as the plugged length of the cross-gusset, the area of the cross-gusset and the area of the cushion-plate, on the main response characteristics. The results also provide essential data for future analytical and design-oriented studies.

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Higham, Desmond J., and Henry-Louis de Kergorlay. "Epidemics on hypergraphs: spectral thresholds for extinction." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2252 (2021): 20210232. http://dx.doi.org/10.1098/rspa.2021.0232.

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Epidemic spreading is well understood when a disease propagates around a contact graph. In a stochastic susceptible–infected–susceptible setting, spectral conditions characterize whether the disease vanishes. However, modelling human interactions using a graph is a simplification which only considers pairwise relationships. This does not fully represent the more realistic case where people meet in groups. Hyperedges can be used to record higher order interactions, yielding more faithful and flexible models and allowing for the rate of infection of a node to depend on group size and also to vary as a nonlinear function of the number of infectious neighbours. We discuss different types of contagion models in this hypergraph setting and derive spectral conditions that characterize whether the disease vanishes. We study both the exact individual-level stochastic model and a deterministic mean field ODE approximation. Numerical simulations are provided to illustrate the analysis. We also interpret our results and show how the hypergraph model allows us to distinguish between contributions to infectiousness that (i) are inherent in the nature of the pathogen and (ii) arise from behavioural choices (such as social distancing, increased hygiene and use of masks). This raises the possibility of more accurately quantifying the effect of interventions that are designed to contain the spread of a virus.

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Prentice, Catherine. "Testing complexity theory in service research." Journal of Services Marketing 34, no. 2 (2019): 149–62. http://dx.doi.org/10.1108/jsm-09-2019-0353.

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Purpose This study aims to draw on the complexity theory and uses a non-an asymmetrical method – fuzzy-set qualitative comparative analysis (fsQCA) to test the core tenets of complexity theory, namely, asymmetry, equifinality and causal complexity and valence reversals or conjunction with a focus on testing the relationships between service quality, customer satisfaction and loyalty. Case outcome forecasting accuracy rather than relationships are tested in asymmetric testing. Design/methodology/approach Both symmetrical (structural equation modelling or SEM) and non-symmetrical (fsQCA) methods were used to test the proposed relationships (symmetrical testing) and case outcome forecasting accuracy (asymmetric testing). The former was used as a comparison. The study setting was in Australian airports. The data were collected from departure passengers. Findings The results from SEM and fsQCA differ substantially. The former provides very simplistic findings of variable directional relationships; whereas the latter presents asymmetrical, equifinal and conjunctional relationships regarding service quality, customer satisfaction and behavioural intentions. These findings support the core tenets of the complexity theory. Research limitations/implications The study findings conform to the complexity theory that indicates relationships between variables can be nonlinear and the same causes can produce different effects. The findings suggest the outcomes of interest often result from combined antecedent conditions rather than a single causal factor. The study confirms that asymmetrical thinking relies on Boolean algebra and set theory principles. Originality/value This study uses both symmetrical and asymmetrical methods to reveal the nuanced information about the relationship that has been tested primarily using symmetrical methods.

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Foster, Allen, and Christine Urquhart. "Modelling nonlinear information behaviour: transferability and progression." Journal of Documentation 68, no. 6 (2012): 784–805. http://dx.doi.org/10.1108/00220411211277046.

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Yang, Li-Ming, Te-Lin Shi, and Da-Qing Guo. "Mathematical modelling of nonlinear behaviour of seismicity." Acta Seismologica Sinica 8, no. 2 (1995): 223–32. http://dx.doi.org/10.1007/bf02650485.

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Somireddy, Madhukar, Aleksander Czekanski, and Sundar V. Atre. "Modelling of Failure Behaviour of 3D-Printed Composite Parts." Applied Sciences 12, no. 21 (2022): 10724. http://dx.doi.org/10.3390/app122110724.

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Failure in 3D-printed composite parts is complex due to anisotropic properties, which are mainly governed by printing parameters, printing strategy, and materials. Understanding the failure behaviour of materials is crucial for the design calculations of parts. Effective computational methodologies are yet not available for accurately capturing the failure behaviour of 3D-printed parts. Therefore, we proposed two different computational methodologies for modelling the failure behaviour of 3D-printed parts. 3D-printed parts subjected to uniaxial tensile loading were considered for modelling. In the first method, the computational model employed nonlinear properties of virgin material, and the model predicted higher values than the experimental results. This method provided idealistic nonlinear behaviour of 3D-printed parts. The difference in the results of experimental and computational is significant, especially in the case of 3D-printed composites. In the second method, the computational model utilized nonlinear material data from mechanical testing results and the model predicted accurate nonlinear behaviour of 3D-printed parts. This method provided realistic material behaviour of 3D-printed parts. Therefore, for effective design and analysis, it is suggested to use the latter computational methodology to capture the failure behaviour of 3D-printed parts accurately.

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Nguyen, Luan-Thanh, Dang Thi Viet Duc, Tri-Quan Dang, and Dang Phong Nguyen. "Metaverse Banking Service: Are We Ready to Adopt? A Deep Learning-Based Dual-Stage SEM-ANN Analysis." Human Behavior and Emerging Technologies 2023 (September 19, 2023): 1–23. http://dx.doi.org/10.1155/2023/6617371.

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Metaverse banking service is the transformation from online banking to a metaverse environment that allows customers to access banking services and interact with representatives in a virtual environment. The metaverse refers to a virtual realm that integrates physical reality with digital environments, enabling users to interact, socialize, and participate in a wide range of activities through the use of avatars and immersive technologies. While there are advantages to adopt the metaverse, the metaverse adoption researches are scarce and primarily focus on the game, education, and sport, providing limited attention to banking services. Furthermore, most adoption research using standard information technology/information system models has focused primarily on organizational context and adopted compulsorily. Metaverse banking service is mainly adopted voluntarily by users and for personal purposes. Thus, this leads to the difficulty in drawing meaningful conclusions toward metaverse adoption. The study addresses these issues by proposing a new unified theory of acceptance and use of the metaverse technology model (UTAUMT), which consists of metaverse performance expectancy (MPE), metaverse facilitating conditions (MFC), metaverse effort expectancy (MEE), and metaverse social influence (MSI) to determine metaverse banking service adoption. Moreover, metaverse trust (MET) and metaverse financial resources (MEF) are also incorporated to investigate complexity in the metaverse environment. The integrated model has been developed and validated through a pretest (face validity and content validity) and pilot test before applying to 491 metaverses-experienced users in Vietnam through a questionnaire approach. Partial least squares structural equation modelling-artificial neural network (PLS-SEM-ANN) has provided a comprehensive result as it can capture both linear and nonlinear relationships. The results from the model showed that only one of the proposed hypotheses between metaverse financial resources (MEF) and behavioural intention to use metaverse banking services (BIM) was not supported in this study and thus needed further investigation. The study contributes to the academic literature by proposing new constructs to assess users’ likelihood of adopting metaverse banking services. The result also assists bank managers in understanding metaverse banking adoption and makes them realize the metaverse banking services’ growth opportunity to pursue. Given the limited scope of the study focusing solely on Vietnam, it would be advantageous for future research on the cultural variations among users of mobile social commerce to incorporate a comparative analysis across multiple countries, with a particular emphasis on Asian nations.

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Mazhar, Muhammad Fawad, Syed Manzar Abbas, Muhammad Wasim, and Zeashan Hameed Khan. "Bayesian Identification of High-Performance Aircraft Aerodynamic Behaviour." Aerospace 11, no. 12 (2024): 960. http://dx.doi.org/10.3390/aerospace11120960.

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In this paper, nonlinear system identification using Bayesian network has been implemented to discover open-loop lateral-directional aerodynamic model parameters of an agile aircraft using a grey box modelling structure. Our novel technique has been demonstrated on simulated flight data from an F-16 nonlinear simulation of its Flight Dynamic Model (FDM). A mathematical model has been obtained using time series analysis of a Box–Jenkins (BJ) model structure, and parameter refinement has been performed using Bayesian mechanics. The aircraft nonlinear Flight Dynamic Model is adequately excited with doublet inputs, as per the dictates of its natural frequency, in accordance with non-parametric modelling (Finite Impulse Response) estimates. Time histories of optimized doublet inputs in the form of aileron and rudder deflections, and outputs in the form of roll and yaw rates are recorded. Dataset is pre-processed by implementing de-trending, smoothing, and filtering techniques. Blend of System Identification time-domain grey box modelling structures to include Output Error (OE) and Box–Jenkins (BJ) Models are stage-wise implemented in multiple flight conditions under varied stochastic models. Furthermore, a reduced order parsimonious model is obtained using Akaike information Criteria (AIC). Parameter error minimization activity is conducted using the Levenberg–Marquardt (L-M) Algorithm, and parameter refinement is performed using the Bayesian Algorithm due to its natural connection with grey box modelling. Comparative analysis of different nonlinear estimators is performed to obtain best estimates for the lateral–directional aerodynamic model of supersonic aircraft. Model Quality Assessment is conducted through statistical techniques namely: Residual Analysis, Best Fit Percentage, Fit Percentage Error, Mean Squared Error, and Model order. Results have shown promising one-step model predictions with an accuracy of 96.25%. Being a sequel to our previous research work for postulating longitudinal aerodynamic model of supersonic aircraft, this work completes the overall aerodynamic model, further leading towards insight to its flight control laws and subsequent simulator design.

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Maillou, Balbine, Pierrick Lotton, Antonin Novak, and Laurent Simon. "Modelling nonlinear viscoelastic behaviours of loudspeaker suspensions-like structures." Journal of Sound and Vibration 416 (March 2018): 213–23. http://dx.doi.org/10.1016/j.jsv.2017.11.046.

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Orosz, Gábor. "Connected cruise control: modelling, delay effects, and nonlinear behaviour." Vehicle System Dynamics 54, no. 8 (2016): 1147–76. http://dx.doi.org/10.1080/00423114.2016.1193209.

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Kaiser, T. M. V., A. E. Elwi, and A. Mioduchowski. "A nonlinear axisymmetric finite element for modelling nonaxisymmetric behaviour." Computers & Structures 49, no. 2 (1993): 219–30. http://dx.doi.org/10.1016/0045-7949(93)90103-k.

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Vecchio, F. J., and S. Balopoulou. "On the nonlinear behaviour of reinforced concrete frames." Canadian Journal of Civil Engineering 17, no. 5 (1990): 698–704. http://dx.doi.org/10.1139/l90-083.

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An experimental investigation is described in which a large-scale reinforced concrete plane frame is tested to study factors contributing to its nonlinear behaviour under short-term loading conditions. The test results indicate that frame behaviour can be significantly affected by second-order influences such as material nonlinearities, geometric nonlinearities, concrete shrinkage, tension stiffening effects, shear deformations, and membrane action. A nonlinear frame analysis procedure, previously developed taking these mechanisms into account, is shown to accurately predict most aspects of behaviour, including deflection response, ultimate load capacity, and failure mechansim. Aspects of the theoretical modelling which are in need of further improvement are also identified. Key words: analysis, behaviour, deformation, frame, large scale, nonlinear, reinforced concrete, strength, test.

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Gizejowski, Marian A., Leslaw Kwasniewski, Bashir Saleh, and Marcin Balcerzak. "Numerical Study of Joint Behaviour for Robustness Assessment." Applied Mechanics and Materials 166-169 (May 2012): 3114–17. http://dx.doi.org/10.4028/www.scientific.net/amm.166-169.3114.

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The paper presents studies on numerical modelling of beam-to-column joint behaviour in typical service and exceptional design situations. The complexity of such investigations arises from highly nonlinear effects associated with the prediction of joint performance, such as structural imperfections, large displacements and rotations, inelastic properties of steel and concrete, bonding effects between steel and concrete, and slip between concrete and structural steel, among others. The paper addresses these problems and provides validation of numerical modelling techniques trough comparison with experimental data for joints under hogging and sagging moments.

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Lau, David T., and Xianguang Zeng. "Nonlinear behaviour of bottom plate in cylindrical liquid storage tanks for seismic applications." Canadian Journal of Civil Engineering 22, no. 1 (1995): 180–89. http://dx.doi.org/10.1139/l95-016.

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The paper presents a simplified pseudostatic approach to model the nonlinear behaviour of the bottom plate in unanchored cylindrical liquid storage tanks for seismic applications. In this paper, the problem of axisymmetric uplift of the bottom plate is studied for tanks supported on both rigid and elastic Winkler foundations. In the analysis, the bottom plate is modelled by one-dimensional beam and two-dimensional plate models. By comparing the results, it is found that the one-dimensional beam model gives accurate results acceptable for all practical design purposes, in view of the many other uncertainties in the tank uplift problem. The analysis results also show that the support foundation flexibility may have significant effects on the uplift behaviour of the tanks. Based on the axisymmetric uplift results, the paper then presents a simple approach to model the seismic partial uplift problem of unanchored tanks by means of nonlinear springs. Modelling parameters for the nonlinear springs are generated for dynamic uplift response analysis. Sensitivities of the uplift behaviour and the nonlinear spring modelling parameters to the tank height-to-radius ratio and the soil stiffness are also studied. Key words: axisymmetric uplift, cylindrical tanks, earthquakes, pressure vessel, shell, soil effect.

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Sandjak, K., M. Ouanani, and B. Tiliouine. "Experimental characterisation and numerical modelling of the resilient behaviour of unbound granular materials for roads." Journal of Building Materials and Structures 7, no. 2 (2020): 159–77. https://doi.org/10.5281/zenodo.4052674.

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Abstract.  This research paper deals with experimental characterisation and numerical modelling of the resilient behaviour of Unbound Granular Materials (UGMs) usually used in road construction. The first part of this paper describes the main results of an experimental program that was carried out to assess the mechanical properties of two local Unbound Granular Materials (UGMs) for construction purposes in road pavement. The second part of this paper is devoted to the numerical modelling of the resilient behaviour of UGMs used in flexible pavements. For this purpose, several nonlinear unbound aggregates constitutive models are implemented within an axi-symmetric finite element code developed to simulate the nonlinear behaviour of pavement structures. In addition, deflection data collected by Falling Weight Deflectometer (FWD) are incorporated into the analysis in order to assess the sensitivity of critical pavement design criteria and pavement design life to the constitutive models. Finally, conclusions of engineering significance are formulated.

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K, Bindu Kumar, R. Remesh Babu K, Unnikrishnan Ramesh, and Sangeetha U. "Dynamic Behaviour Modelling of Magneto-Rheological Fluid Damper Using Machine Learning." Indian Journal of Science and Technology 16, no. 45 (2023): 4233–43. https://doi.org/10.17485/IJST/v16i45.1669.

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Abstract Objectives: Despite significant advancements in the field of automotive suspension systems, a notable research gap exists in accurately predicting the intricate nonlinear damping behavior of Magnetorheological Dampers (MRDs), which hinders the comprehensive enhancement of automotive comfort and safety. This study aims to address this gap by developing a novel machine learning-based black box model capable of precisely forecasting the complex damping characteristics exhibited by MRDs, thereby paving the way for substantial improvements in both ride comfort and vehicle safety. Methods: A methodology integrating machine learning and real-time feedback control is employed, utilizing Linear, Nonlinear Autoregressive with Exogenous Variables (ARX), and Hammerstein-Wiener models for input selection and parameter estimation. Experimental data from hydraulic testing is used to develop a nonlinear black box model using a NARX structure. Inputs of MRD force and velocity predict the corresponding damping force, improving stability and generality compared to physical modeling methods. Findings: The successful implementation of the proposed methodology enables the identification of a model that closely matches experimental data obtained from an MR damper. The developed non-linear black box model, combined with constructive parameter estimation models, improves the understanding and control of MR damping behaviour. Novelty: This advancement contributes to the field's progress by offering a novel approach for predicting the damping behaviour of MRDs, facilitating their effective utilization in various applications across the automotive and other industries. Keywords: Magnetorheological fluids, Nonlinear dynamics, Feedback control, Machine learning, MR damper, Dynamic modeling

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Lovrenić-Jugović, Martina, Zdenko Tonković, and Ivica Skozrit. "Modelling of Nonlinear Creep and Recovery Behaviour of Cortical Bone." Key Engineering Materials 488-489 (September 2011): 186–89. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.186.

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A new one-dimensional constitutive model for human cortical bone is proposed to simulate the viscoelastic–viscoplastic behaviour occurring during creep-recovery tests.The material parameters are determined by fitting experimental results of creep-recovery tests reported in the published literature. An efficient computational algorithm for the integration of the proposed constitutive model at the material point level is derived. The derived algorithm in conjunction with the Jacobian matrix is implemented in the finite element code ABAQUS. The model predictions are found to be in good agreement with the experimental data presented in literature.

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Gao, Dongdong, Pengbin Wang, Ming Li, and Wenbo Luo. "Modelling of nonlinear viscoelastic creep behaviour of hot-mix asphalt." Construction and Building Materials 95 (October 2015): 329–36. http://dx.doi.org/10.1016/j.conbuildmat.2015.07.112.

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Cifuentes, Arturo O., and Wilfred D. Iwan. "Nonlinear system identification based on modelling of restoring force behaviour." Soil Dynamics and Earthquake Engineering 8, no. 1 (1989): 2–8. http://dx.doi.org/10.1016/s0267-7261(89)80002-8.

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Lou, Tiejiong, Sergio M. R. Lopes, and Adelino V. Lopes. "Numerical modelling of nonlinear behaviour of prestressed concrete continuous beams." Computers and Concrete 15, no. 3 (2015): 373–89. http://dx.doi.org/10.12989/cac.2015.15.3.373.

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Karádi, Dániel T., András A. Sipos, Marianna Halász, Viktor Hliva, and Dezső Hegyi. "An elastic phenomenological material law of technical textile with a nonlinear shear behaviour." Journal of Reinforced Plastics and Composites 40, no. 19-20 (2021): 759–69. http://dx.doi.org/10.1177/07316844211005842.

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In technical textile engineering, macro-level phenomenological modelling effectively describes the material’s highly nonlinear behaviour. However, existing material laws concentrate on the normal stiffness in the orthotropic yarns and simplify the shear effect because of the two orders of magnitude difference between shear and normal stiffness. This article introduces an improved phenomenological model that includes nonlinear shear behaviour, and it determines the material parameters with a previously applied data fitting method for exponential functions. The nonlinear shear behaviour is valid for the elastic state, that is, at the service level of the loads. Time-dependent, cyclic loading or plastic behaviour is not considered.

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Zheng, Huaiguo, Qingxiang Cai, Wei Zhou, et al. "Creep Behaviours of Argillaceous Sandstone: An Experimental and Modelling Study." Applied Sciences 10, no. 21 (2020): 7602. http://dx.doi.org/10.3390/app10217602.

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Understanding the creep behaviours of rocks is essential for the long-term stability of underground excavations in mining engineering. Creep behaviours are more important when the mining depth is greater, which leads to the emergence of weak rock masses and high in situ stresses. In this study, the creep behaviours of argillaceous sandstone (AS) were systematically investigated. For the experimental investigation, creep tests were conducted on AS with different confining pressures (3, 6, 9, 12, 15, and 18 MPa) using an MTS815.02 rock mechanics test system. The mechanical characteristics of AS were analysed. For the numerical study, a nonlinear creep model of AS under equal and different confining pressures was established based on rock creep theory and plastic theory. The results showed that confining pressure could effectively improve the creep failure strength of AS, accelerating its creep deformation rate and process and reducing the final expansion volume. The nonlinear creep model was embedded in the FLAC3D software, and the experimental and numerical results agreed well. The experimental investigation and proposed creep model can provide important guidance in underground mines for safe long-term stability of underground excavations.

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Xia, Zihui, and Fernand Ellyin. "Time-Dependent Behaviour and Viscoelastic Constitutive Modelling of an Epoxy Polymer." Engineering Plastics 6, no. 2 (1998): 147823919800600. http://dx.doi.org/10.1177/147823919800600202.

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The time-dependent behaviour of a cold cure epoxy polymer was investigated by different types of tests including compression, tension, biaxial loading, strain recovery, stress relaxation, creep and cyclic creep. This epoxy showed nonlinear viscoelastic behaviour since strains were fully recovered after stresses were removed and sufficient time was allowed for the recovery. A linear viscoelastic constitutive model has been extended to the nonlinear regime, and used to simulate the test results. It was found that the model is capable of predicting the observed trends for different types of tests. With one set of specified material constants, the model provides a fairly good prediction for several types of tests. However, this trend may not hold for other types of tests, for which the material constants were not calibrated, although the general trend would be predicted satisfactorily.

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Xia, Zihui, and Fernand Ellyin. "Time-Dependent Behaviour and Viscoelastic Constitutive Modelling of an Epoxy Polymer." Polymers and Polymer Composites 6, no. 2 (1998): 75–83. http://dx.doi.org/10.1177/096739119800600202.

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The time-dependent behaviour of a cold cure epoxy polymer was investigated by different types of tests including compression, tension, biaxial loading, strain recovery, stress relaxation, creep and cyclic creep. This epoxy showed nonlinear viscoelastic behaviour since strains were fully recovered after stresses were removed and sufficient time was allowed for the recovery. A linear viscoelastic constitutive model has been extended to the nonlinear regime, and used to simulate the test results. It was found that the model is capable of predicting the observed trends for different types of tests. With one set of specified material constants, the model provides a fairly good prediction for several types of tests. However, this trend may not hold for other types of tests, for which the material constants were not calibrated, although the general trend would be predicted satisfactorily.

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Labadi, Youcef, and Naceur Eddine Hannachi. "Nonlinear damage behaviour of concrete structures." Canadian Journal of Civil Engineering 32, no. 4 (2005): 765–74. http://dx.doi.org/10.1139/l05-018.

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Concrete structures are becoming more and more sophisticated and submitted to severe conditions, for example: high stresses and temperatures, cyclic loadings, earthquakes, etc. It is therefore necessary to simulate correctly the behaviour and damage of such structures. However, the behaviour of this material is among the most complex ones: various phenomena are observed experimentally, such as, loss of stiffness, irreversible strains, stiffness recovery and dissymmetric behaviour to mention a few. If all these effects are taken into consideration, it would lead to models that use numerous parameters. In this paper, a framework for damage mechanics of concrete is presented and used to simulate the nonlinear behaviour of concrete using finite element method (FEM). A relatively simple isotropic damage model, containing essentially no adjustable parameters is shown to produce results in remarkably good agreement with experimental results. Indeed, the damage law requires only the fracture energy to be completely defined. A special form of damage surfaces is constructed to illustrate the application of the model. A new damage criterion, defined as an equivalent strain norm, is proposed to take into consideration the dissymmetric behaviour of concrete. To verify the FEM program including the model, the predicted deformations are compared with experimental results and results from other nonlinear constitutive models.Key words: elasticity, quasi-brittle materials, damage, cracking, nonlinear behaviour, concrete modelling, finite element, simulation.

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Erki, M. A. "Modelling the load–slip behaviour of timber joints with mechanical fasteners." Canadian Journal of Civil Engineering 18, no. 4 (1991): 607–16. http://dx.doi.org/10.1139/l91-074.

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An analytical model of behaviour is presented, which uses one-dimensional finite element approximations to predict the short-term load – slip response of a single fastener joint. The model treats the elastoplastic behaviour of the fastener as well as the nonlinear, nonelastic properties of the wood. It accounts for some of the distinctive behaviour of timber joints such as fastener withdrawal, rotational restraint at the fastener ends, joint interface characteristics, and combined fastener bending and axial tension. Good agreement is obtained between model predictions and test behaviour for single fastener glulam rivet, nail, and bolt joints. The model can be adapted to include the variability in wood and fastener properties, and can be incorporated into a large number of computer simulations in order to predict the fifth fractiles of the populations of joint resistances, which can be used in a limit states design approach. Key words: timber structures, glulam rivet connections, nailed connections, bolted connections, mathematical model, finite element, nonlinear analysis.

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Nagler, Michaela, Michael Thor, Peter Peyrer, et al. "Analysis of the Macroscopic Behaviour of PMI Foam." Key Engineering Materials 809 (June 2019): 285–90. http://dx.doi.org/10.4028/www.scientific.net/kem.809.285.

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o accurately simulate the foam core in composite parts on a macroscopic scale the morphology, the characterisation, and the nonlinear behaviour of thefoam must be understood properly. Accounting for the heterogeneity and the mechanical properties of the foam core affects the dimensioning of the final part.In the present study the microstructure of the foam samples were characterized using scanning electron microscopy. To determine the bulk material behavior and the strength limitations of the nonlinear foam, shear and compressions tests are performed. All numerical calculations were carried out on the macroscopic level.A basic challenge in the finite element modelling of hyperelastic materials by means of test data is the identification of material model coefficients which are appropriate to describe the behaviour of the considered foam.

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Sandjak, Khaled, Mouloud Ouanani, and Boualem Tiliouine. "Experimental characterisation and numerical modelling of the resilient behaviour of unbound granular materials for roads." Journal of Building Materials and Structures 7, no. 2 (2020): 159–77. http://dx.doi.org/10.34118/jbms.v7i2.708.

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This research paper deals with experimental characterisation and numerical modelling of the resilient behaviour of Unbound Granular Materials (UGMs) usually used in road construction. The first part of this paper describes the main results of an experimental program that was carried out to assess the mechanical properties of two local Unbound Granular Materials (UGMs) for construction purposes in road pavement. The second part of this paper is devoted to the numerical modelling of the resilient behaviour of UGMs used in flexible pavements. For this purpose, several nonlinear unbound aggregates constitutive models are implemented within an axi-symmetric finite element code developed to simulate the nonlinear behaviour of pavement structures. In addition, deflection data collected by Falling Weight Deflectometer (FWD) are incorporated into the analysis in order to assess the sensitivity of critical pavement design criteria and pavement design life to the constitutive models. Finally, conclusions of engineering significance are formulated.

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Vangheluwe, L., and P. Kiekens. "Modelling Relaxation Behaviour of Yarns Part I: Extended, Nonlinear Maxwell Model." Journal of the Textile Institute 87, no. 2 (1996): 296–304. http://dx.doi.org/10.1080/00405009608659082.

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Vozáb, Jan, and Jan Vorel. "MODELLING OF TIME-DEPENDENT BEHAVIOUR OF PARTICULATE THERMOSET POLYMERS." Acta Polytechnica CTU Proceedings 30 (April 22, 2021): 131–34. http://dx.doi.org/10.14311/app.2021.30.0131.

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A preliminary study of a numerical model describing the behaviour of polymer-based composites is presented. The numerical model consists of three main parts. The first is the microplane M4 model, which is the main part of the model and is used to simulate elastoplastic behaviour and damage. The second part consists of a generalized Maxwell model, which adds the effect of linear creep of the material to the calculation. The last part is a free volume model that extends the linear creep to the nonlinear creep. The creep is calculated on the deviatoric part of the normal stress of each microplane, which allows the model to capture the polymer behaviour adequately without adjusting the free volume of the model.

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Ngwangwa, Harry, Thanyani Pandelani, and Fulufhelo Nemavhola. "The application of standard nonlinear solid material models in modelling the tensile behaviour of the supraspinatus tendon." Engineering Solid Mechanics 11, no. 1 (2023): 63–74. http://dx.doi.org/10.5267/j.esm.2022.8.004.

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Tendons transmit forces from muscles to bones through joints. Typically, tendons and muscles work together to innovate a motion. In addition, tendons are often subjected to much higher stresses than the muscles that they serve in any given action. As a result, tendons are susceptible to injuries that may lead to a permanent dysfunction in joint mobility due to the fact that the scar tissue that forms after healing often does not have the same mechanical properties of the original tissue. It is therefore very important to understand the mechanical response of tendons. In this paper the performances are examined of two viscoelastic standard nonlinear models in modelling the elastic and plastic behaviour of the tendon in the light of a well-known hyperelastic Yeoh model. The use of the Yeoh model is more for validating the performances of the viscoelastic models within the elastic region than for comparison purposes. The Yeoh model was selected based on its superior performance in modelling the elastic phase of soft tissue, as reported in previous studies, combined with its simplicity. The results show that the two standard nonlinear solid models perform extremely well both in fitting accuracies and in correlating stress results. The most promising result is the fact that the two standard nonlinear models can model tendon behaviour in the nonlinear plastic region. It is also noted that the two standard nonlinear models are physically insightful since their optimisation parameters can easily be interpreted in terms of tendon elasticity and viscoelastic parameters.

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Stitic, Andrea, Anh Nguyen, Aryan Rezaei Rad, and Yves Weinand. "Numerical Simulation of the Semi-Rigid Behaviour of Integrally Attached Timber Folded Surface Structures." Buildings 9, no. 2 (2019): 55. http://dx.doi.org/10.3390/buildings9020055.

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Timber folded surface structures assembled using semi-rigid multiple tab and slot joints (MTSJ) have been shown to form feasible structural systems with high load bearing potential. However, for their further development and use on large building scales, a pertinent model for prediction of their structural behaviour has yet to be developed. This paper focuses on simplified numerical methods for accurately modelling the semi-rigid structural behaviour of bidirectional timber folded surface structures with multiple tab and slot connections. Within this scope, the structure behaviour is considered to be in the elastic stage. Three practical methods of analysis for such structural systems are presented. The first two approaches use the Finite Element Method (FEM), where the theory of plates and shells are applied. In the first method, the MTSJs are modeled using strip element models, while, in the second strategy, spring models are used. The third modeling strategy elaborates on the new macroscopic mechanical models, referred to as macro models. Sets of one-dimensional (1D) elements are used to represent the mechanical behaviour of the entire system. Both linear and geometric nonlinear analysis are performed for all three modeling strategies. The numerical results are then validated against the large scale experiments. Comparison of the strip and spring element model results have shown that the strips represent more accurately the experimentally obtained values. Concerning the macro modelling approach, very good agreement with both detailed FE modelling approaches, as well as experimental results, were obtained. The results indicate that both linear and nonlinear analysis can be used for modelling the displacements within the elastic range. However, it is essential to include geometric nonlinearities in the analysis for accurate modelling of occurring strains as well as for displacements when considering higher load levels. Finally, it is demonstrated that including semi-rigidity in the numerical models is of high importance for analysing the behaviour of timber folded surface structures with MTSJ.

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Tjahjowidodo, T., F. Al-Bender, and H. Van Brussel. "Theoretical modelling and experimental identification of nonlinear torsional behaviour in harmonic drives." Mechatronics 23, no. 5 (2013): 497–504. http://dx.doi.org/10.1016/j.mechatronics.2013.04.002.

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Płociniczak, Łukasz, and Mateusz Świtała. "Asymptotic behaviour of a solution to a nonlinear equation modelling capillary rise." Physica D: Nonlinear Phenomena 406 (May 2020): 132394. http://dx.doi.org/10.1016/j.physd.2020.132394.

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Wang, X., Bahman Ghiassi, Daniel V. Oliveira, and C. C. Lam. "Modelling the nonlinear behaviour of masonry walls strengthened with textile reinforced mortars." Engineering Structures 134 (March 2017): 11–24. http://dx.doi.org/10.1016/j.engstruct.2016.12.029.

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Tillier, Y., A. Paccini, J. Delotte, M. Durand-Réville, and J. L. Chenot. "Finite element modelling for soft tissues surgery based on nonlinear elasticity behaviour." International Congress Series 1268 (June 2004): 384–89. http://dx.doi.org/10.1016/j.ics.2004.03.270.

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Akopov, Artem, Vladimir Astakhov та Aleksej Shabunin. "Dynamics оf coupled maps modelling neuron behaviour". Izvestiya VUZ. Applied Nonlinear Dynamics 11, № 1 (2003): 19–35. http://dx.doi.org/10.18500/0869-6632-2003-11-1-19-35.

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Synchronization phenomenon in a system of two coupled neuron maps is considered. This system possess rich behaviour with developed multistability. Performed two-parametric analysis оf bifurcations demonstrates that loss of complete chaotic synchronization and multistability formation are based on the same bifurcational mechanisms.

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Zhou, Da Yu, Marc Kamlah, Yi Xiang Gan, and Bernd Laskewitz. "Time-Dependent Nonlinear Ferroelastic Behaviour of Soft Lead Zirconate Titanate Piezoceramics." Advances in Science and Technology 45 (October 2006): 2464–71. http://dx.doi.org/10.4028/www.scientific.net/ast.45.2464.

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Motivated by predicting the performance and reliability of piezoelectric devices, considerable research efforts have been made in recent years to mathematically describe the largesignal nonlinear behaviour of ferroelectric piezoceramics. The success of such modelling approach depends strongly on our knowledge of the loading history dependence of the material properties. In this experimental work, the nonlinear ferroelastic behaviour was investigated in detail for a commercially available soft lead zirconate titanate (PZT) material under low-frequency compressive stress loading. It was found that the strain response was significantly loading rate dependent. The evolution of the elastic moduli was determined using fast small-stress partial unloading method, which was specially designed to minimize the time-dependent effect as much as possible. The results were used to separate the reversible elastic deformation from the irreversible plastic strain due to domain switching.

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Abbasiverki, Roghayeh, Richard Malm, Anders Ansell, and Erik Nordström. "Nonlinear Behaviour of Concrete Buttress Dams under High-Frequency Excitations Taking into Account Topographical Amplifications." Shock and Vibration 2021 (November 11, 2021): 1–22. http://dx.doi.org/10.1155/2021/4944682.

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Concrete buttress dams could potentially be susceptible to high-frequency vibrations, especially in the cross-stream direction, due to their slender design. Previous studies have mainly focused on low-frequency vibrations in stream direction using a simplified foundation model with the massless method, which does not consider topographic amplifications. This paper therefore investigates the nonlinear behaviour of concrete buttress dams subjected to high-frequency excitations, considering cross-stream vibrations. For comparison, the effect of low-frequency excitations is also investigated. The influence of the irregular topography of the foundation surface on the amplification of seismic waves at the foundation surface and thus in the dam is considered by a rigorous method based on the domain-reduction method using the direct finite element method. The sensitivity of the calculated response of the dam to the free-field modelling approach is investigated by comparing the result with analyses using an analytical method based on one-dimensional wave propagation theory and a massless approach. Available deconvolution software is based on the one-dimensional shear wave propagation to transform the earthquake motion from the foundation surface to the corresponding input motion at depth. Here, a new deconvolution method for both shear and pressure wave propagation is developed based on an iterative time-domain procedure using a one-dimensional finite element column. The examples presented showed that topographic amplifications of high-frequency excitations have a significant impact on the response of this type of dam. Cross-stream vibrations reduced the safety of the dam due to the opening of the joints and the increasing stresses. The foundation modelling approach had a significant impact on the calculated response of the dam. The massless method produced unreliable results, especially for high-frequency excitations. The free-field modelling with the analytical method led to unreliable joint openings. It is therefore recommended to use an accurate approach for foundation modelling, especially in cases where nonlinearity is considered.

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Dhima, Dhionis, Maxime Audebert, and Abdelhamid Bouchaïr. "Analysis of the Thermo-Mechanical Behaviour of Steel-to-Timber Connections in Bending." Journal of Structural Fire Engineering 5, no. 2 (2014): 97–112. http://dx.doi.org/10.1260/2040-2317.5.2.97.

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Two different configurations of steel-to-timber connections are tested in bending in normal conditions and under ISO-fire exposure. To observe the influence of clearances in the connection area on the fire resistance of the connections, two specimens were previously tested under cyclic loadings. These tests consist in the application of loading-unloading cycles by controlled displacements. The experimental results of connections tested in cold and under ISO-fire conditions are analyzed and commented. These results are then used to validate a finite element model. This model allows to simulate numerically the evolution of the temperatures inside the connections as well as their mechanical and thermo-mechanical behaviours. The thermal modelling is validated on the basis of the temperature-time evolutions measured during fire tests. The nonlinear modelling of the mechanical behaviour of timber is done using the Hill yield criterion in combination with the Tsaï-Wu failure criterion. The thermo-mechanical modelling allows obtaining fire resistances of the tested connections in good agreement with the experimental ones.

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Tahiri, Mohamed, and Mohammed Bezzazi. "Influence of the nonlinear behaviour of ballast on the dynamics of simply supported railway bridges." MATEC Web of Conferences 371 (2022): 03002. http://dx.doi.org/10.1051/matecconf/202237103002.

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In this work, the vertical motion of a simply supported railway bridge which is subjected to the circulation of high speed trains was studied. A system consisting of two-layer beam was considered to model the dynamics of the bridge structure. The upper beam represents the rails with the sleepers and the lower beam the bridge deck. These two beams are coupled through distributed nonlinear springs that model the ballast action. The characteristics of these elements were identified from experimental measurements performed on real rail track. Considering the circulation of high speed train at given velocity, the influence of the nonlinear stiffness of the ballasted track on the response of the bridge system was analyzed. This was achieved by using the Galerkin method and the Runge-Kutta scheme to solve numerically the nonlinear partial differential equations governing the motion of the two beams. It was found that the nonlinear behaviour of the ballast affects notably the dynamics of the bridge, especially when the ballast stiffness is low. The proposed modelling enables to get more understanding regarding the vertical dynamics of ballasted track bridge in high speed line.

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Bahrami, Alireza, and Mahdi Najarnasab. "Ultimate Behaviour of Perforated Steel Plate Girders Subjected to Shear Loading." Open Construction and Building Technology Journal 14, no. 1 (2020): 70–83. http://dx.doi.org/10.2174/1874836802014010070.

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Background: The Perforated Steel Plate Girders (PSPGs) are those Steel Plate Girders (SPGs) that have openings in their web. The PSPGs are significant structural members to withstand bending mainly. The proper combination of steel plates is applied to fabricate the PSPGs. When the available rolled steel profiles cannot carry the applied loads, the use of beams made of the steel plates is unavoidable. Objective: The present paper presents the ultimate behaviour of PSPGs subjected to shear loading. Methods: In order to carry out the study, the finite element method is used as a practical design tool for predicting the ultimate behaviour of the PSPGs under shear loading. Two experimentally tested PSPGs are selected to conduct the modelling accuracy using ABAQUS. All the features of the tested specimens are considered in the modelling. The finite element modelling results are compared with the experimental tests results, which verify the modelling. Since the accuracy of the modelling is demonstrated, thereafter, the method is used for the nonlinear analysis of the developed PSPGs having different circular and rectangular openings. Various parameters are adopted in the analysis to vastly evaluate their effects on the ultimate behaviour of the PSPGs. The parameters include shape of the openings (circular and rectangular openings), number of the openings (2 and 4 openings), arrangement of the openings (horizontal and vertical openings), using steel frame around the openings, utilising diagonal steel stiffeners to connect the steel frame to the corners of the PSPGs, and thicknesses (2 mm and 4 mm) of the steel frame and the diagonal steel stiffeners. Results: The obtained results from the nonlinear analysis of the PSPGs are summarised considering various parameters. The results are compared and discussed, taking into account the effects of the parameters on the ultimate behaviour of the PSPGs. Conclusion: The study highlights that the shape of the openings affects the behaviour of the PSPGs. Accordingly, circular openings are preferred compared with the rectangular ones. Also, as the number of the openings is increased, the ultimate capacity of the PSPGs is reduced. The behaviour of the PSPGs is considerably affected by the arrangement of the openings in which the horizontal openings have better performance than the vertical ones. If the steel frame and/or the steel stiffeners are utilised, the ultimate capacity is enhanced. The ultimate capacity of the PSPGs is improved by increasing the thickness of the steel frame and/or stiffeners. The failure modes of the PSPGs with circular and rectangular openings are indicated and evaluated.

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METZLER, RALF. "CRITICAL SWITCHING BEHAVIOUR IN SPARSELY POPULATED SYSTEMS." International Journal of Modern Physics B 17, no. 31n32 (2003): 5893–904. http://dx.doi.org/10.1142/s0217979203023458.

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The basic kinematic behaviour of a threshold switch in a system with a sparse population is investigated. We determine the basic quantities such as the number probability density function, the survival probability, the characteristic switching time, and the response to external triggering of the switch. The modelling approach is then extended to systems with response retardation, which, it is argued, may improve the stability of the switch.

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Tiwari, Saugat, and Sailesh Adhikari. "Seismic Behaviour of the Low-Rise RC Buildings in Nonlinear Static and Dynamic Analysis." Saudi Journal of Civil Engineering 7, no. 01 (2023): 1–8. http://dx.doi.org/10.36348/sjce.2023.v07i01.001.

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This paper presents the behavior of three different types of irregular low-rise buildings, subjected to earthquake load. The study is performed by numerically modelling the buildings for the linear static analysis. Structural parameters displacements, drift, and storey shear are checked for various time periods of the building. The same models are also analyzed using nonlinear pushover analysis. The model is made nonlinear by introducing the hinges in the beam and column. The execution of nonlinear analysis is done by applying push in X and push in Y directions in controlled displacement mode. After the execution of nonlinear pushover analysis, different colours of hinges were formed, which were used as a basis for the study. The parameters like maximum displacement, max storey drift, and storey shear were computed in both in X and Y directions. Peak ground acceleration of Gorkha earthquake, EI Centro earthquake, and Kobe earthquakes was used for time history analysis. The results for max displacement, base shear, and max storey drift are presented and the comparison is made for the different building models. The study showed that a building behaves well in seismic loading even though they have an irregular plan with a larger structure size, compared to a building that has a regular plan and a smaller structural member size.

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Zhao, Leilei, Yuewei Yu, Jianhu Cao, and Weiwei Zhou. "Nonlinear Coupled Dynamic Modelling of Driver-seat-cab System and Biomechanical Behaviour Prediction." Strojniški vestnik - Journal of Mechanical Engineering 68, no. 2 (2022): 90–100. http://dx.doi.org/10.5545/sv-jme.2021.7429.

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The biomechanical responses of the driver-truck system in a dynamic environment have become a significant concern in the design and control of trucks. When evaluating the riding comfort of the seat-cab system, it is necessary to predict the biomechanical responses of the driver’s different parts and directions. However, there is no reliable model and method for effectively predicting the response characteristics of the driver-seat-cab system. Aiming at such problem, firstly, based on the 7 DOF (degree-of-freedom) seated human biodynamic model established previously, a 10 DOF non-linear dynamic model of the driver-seat-cab system was created, and its vibration differential equations were established. Secondly, the vibration signals for simulation and verification were collected through the road test using a truck. Thirdly, based on the Newmark-β integration method, the specific solution process of the model was given. The non-linear damping coefficients of the front and rear dampers for the cab suspensions were measured with a bench test. Moreover, the simulations were conducted based on the measured model parameters, taking the collected frame vibration signals as the inputs. The results show that the simulation results agree with the test results, proving that the dynamic model can effectively predict the driver’s biomechanical responses. Finally, some useful conclusions were obtained through the simulation analysis. The established model and conclusions can provide technical support for comfort evaluation, optimization design, and control of the seat-cab suspension system.

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Journal articles on the topic 'Nonlinear behavioural modelling'

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