Relevant bibliographies by topics / Multi-Scale nonlinear dynamics

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Multi-Scale nonlinear dynamics'

Author: Grafiati
Published: 14 December 2024
Last updated: 31 July 2025

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Journal articles on the topic "Multi-Scale nonlinear dynamics"

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Sivapalan, Murugesu, Praveen Kumar, and Daniel Harris. "Nonlinear propagation of multi-scale dynamics through hydrologic subsystems." Advances in Water Resources 24, no. 9-10 (2001): 935–40. http://dx.doi.org/10.1016/s0309-1708(01)00028-8.

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LAMARQUE, C. H., A. TURE SAVADKOOHI, E. ETCHEVERRIA, and Z. DIMITRIJEVIC. "MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS." International Journal of Bifurcation and Chaos 22, no. 12 (2012): 1250295. http://dx.doi.org/10.1142/s0218127412502951.

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Dynamical behavior of a nonsmooth master system which is coupled to a nonsmooth Nonlinear Energy Sink (NES) during free and forced oscillations is studied analytically and numerically. Invariant manifolds of the system and their stable zones at different time scales are revealed and finally application of coupled nonsmooth NES to the passive control process of the main nonsmooth system is highlighted.
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Bartelt, Matthias, and Michael Groß. "Galerkin-based multi-scale time integration for nonlinear structural dynamics." PAMM 14, no. 1 (2014): 215–16. http://dx.doi.org/10.1002/pamm.201410095.

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Wu, Zhe, Guang Yang, Qiang Zhang, Shengyue Tan, and Shuyong Hou. "Information Dynamic Correlation of Vibration in Nonlinear Systems." Entropy 22, no. 1 (2019): 56. http://dx.doi.org/10.3390/e22010056.

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In previous studies, information dynamics methods such as Von Neumann entropy and Rényi entropy played an important role in many fields, covering both macroscopic and microscopic studies. They have a solid theoretical foundation, but there are few reports in the field of mechanical nonlinear systems. So, can we apply Von Neumann entropy and Rényi entropy to study and analyze the dynamic behavior of macroscopic nonlinear systems? In view of the current lack of suitable methods to characterize the dynamics behavior of mechanical systems from the perspective of nonlinear system correlation, we pr
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Jiang, H., X. Gao, Y. Sheng, W. Tang, and P. Shi. "Analysis of 3:1 internal resonance of a rigid-flexible coupling antenna system with three degrees of freedom." Journal of Physics: Conference Series 3041, no. 1 (2025): 012006. https://doi.org/10.1088/1742-6596/3041/1/012006.

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Abstract This paper investigates the nonlinear dynamic behavior of a spatially deployable antenna’s rigid-flexible coupling structure. Firstly, a three-degree-of-freedom T-beam structure model consisting of a rigid manipulator and a symmetrical antenna is established. By applying the Lagrange equation and the assumed modes method, the governing nonlinear dynamics equations for the T-beam’s in-plane motion are formulated. Subsequently, the system’s nonlinear dynamic behavior under 3:1 internal resonance conditions is investigated employing the matrix-form multi-scale methodology. The general ex
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KOVALEV, VLADIMIR F. "LIE GROUP ANALYSIS FOR MULTI-SCALE PLASMA DYNAMICS." Journal of Nonlinear Mathematical Physics 18, sup1 (2011): 163–75. http://dx.doi.org/10.1142/s1402925111001349.

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KUSKE, R. "MULTI-SCALE DYNAMICS IN STOCHASTIC DELAY DIFFERENTIAL EQUATIONS WITH MULTIPLICATIVE NOISE." Stochastics and Dynamics 05, no. 02 (2005): 233–46. http://dx.doi.org/10.1142/s0219493705001390.

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We apply multi-scale analysis to stochastic delay-differential equations with multiplicative or parametric noise, deriving approximate stochastic equations for the amplitudes of oscillatory solutions near critical delays. Reduced equations for the envelope of the oscillations provides an efficient analysis of the dynamics by separating the influence of the noise from the intrinsic oscillations over long time scales. We show how this analysis can be used to compute Lyapunov exponents and extended to nonlinear models where the noise has additional resonances.
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Knar, Zakaria, Jean-Jacques Sinou, Sébastien Besset, and Vivien Clauzon. "An Adapted Two-Steps Approach to Simulate Nonlinear Vibrations of Solid Undergoing Large Deformation in Contact with Rigid Plane—Application to a Grooved Cylinder." Applied Sciences 12, no. 3 (2022): 1447. http://dx.doi.org/10.3390/app12031447.

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Simulating the full dynamic response of a rolling sculpted tire requires not only taking into account various non-linearities but also considering the multi-scale nature of the dynamic response itself. On one hand, there is the macroscopic rolling dynamic behavior that operates around the rotating frequency with relatively high amplitudes. On the other hand, the vibratory response operates in a larger frequency window with relatively low amplitudes. In contrast to a straightforward strategy that consists of using an energy-conserving stable time integrator to predict the multi-scale dynamic re
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Overwiening, Jorin, Federico Tesler, Domenico Guarino, and Alain Destexhe. "A multi-scale study of thalamic state-dependent responsiveness." PLOS Computational Biology 20, no. 12 (2024): e1012262. https://doi.org/10.1371/journal.pcbi.1012262.

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The thalamus is the brain’s central relay station, orchestrating sensory processing and cognitive functions. However, how thalamic function depends on internal and external states, is not well understood. A comprehensive understanding would necessitate the integration of single cell dynamics with their collective behavior at population level. For this we propose a biologically realistic mean-field model of the thalamus, describing thalamocortical relay neurons (TC) and thalamic reticular neurons (RE). We perform a multi-scale study of thalamic responsiveness and its dependence on cell and brai
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Rundle, J. B., D. L. Turcotte, P. B. Rundle, et al. "Pattern dynamics, pattern hierarchies, and forecasting in complex multi-scale earth systems." Hydrology and Earth System Sciences Discussions 3, no. 3 (2006): 1045–69. http://dx.doi.org/10.5194/hessd-3-1045-2006.

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Abstract. Catastrophic disasters afflicting human society are often triggered by tsunamis, earthquakes, widespread flooding, and weather and climate events. As human populations increasingly move into geographic areas affected by these earth system hazards, forecasting the onset of these large and damaging events has become increasingly urgent. In this paper we consider the fundamental problem of forecasting in complex multi-scale earth systems when the basic dynamical variables are either unobservable or incompletely observed. In such cases, the forecaster must rely on incompletely determined
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Dissertations / Theses on the topic "Multi-Scale nonlinear dynamics"

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Nishimura, Seiya. "Study on multi-scale nonlinear dynamics of magnetic islands in tokamak plasmas." Aix-Marseille 1, 2009. http://www.theses.fr/2009AIX11060.

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Cette thèse est consacrée à la modélisation et à la simulation de la dynamique non linéaire d’un îlot magnétique en présence d’un gradient de pression dans un plasma magnétisé de tokamak. Ce mode nommé ‘’drift tearing’’ est en fait un mode de déchirement couplé à une onde de dérive électronique. Les instabilités de déchirement jouent un rôle important dans la stabilité magnétohydrodynamique des plasmas de fusion thermonucléaire. Il est en effet admis que ces instabilités détermineront la limite en pression dans les plasmas du futur tokamak ITER. Il se trouve que de nombreuses questions restent
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Lu, Xiaoxin. "Modélisation électro-mécanique multi-échelle des nanocomposites graphène/polymère." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLC058/document.

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Cette étude porte sur le développement de modèles et de méthodes numériques pour prédire les propriétés électriques et mécaniques des nanocomposites polymères/graphènes.Dans une première partie, un modèle nonlinéaire de conduction électrique prenant en compte l’effet tunnel est introduit pour déterminer la conductivité effective de ces nanocomposites au travers d’une procédure d’homogénéisation numérique. Celle-ci, basée sur une formulation éléments finis a mis en évidence l’influence des paramètres microstructuraux sur la conductivité effective au travers d’une étude statistique.Ensuite, un m
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Alsassa, Salma. "Two-dimentional complex modeling of bone and joint infections using agent-based simulation." Thesis, Brest, 2019. http://www.theses.fr/2019BRES0022.

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Le diagnostic et la prise en charge des infections ostéo-articulaires (IOA) sont souvent complexes occasionnant une perte osseuse irréversible. La variabilité intra et inter-patient en terme de présentation clinique rend impossible le recours à une description systématique ou à une analyse statistique pour le diagnostic et l'étude de cette pathologie. Le développement d'IOA résulte d'interactions complexes entre les mécanismes cellulaires et moléculaires du tissu osseux et les bactéries. L'objectif de cette thèse est de modéliser l'IOA afin de simuler le comportement du système suite à des int
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Singla, Puneet. "Multi-resolution methods for high fidelity modeling and control allocation in large-scale dynamical systems." Texas A&M University, 2005. http://hdl.handle.net/1969.1/3785.

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This dissertation introduces novel methods for solving highly challenging model- ing and control problems, motivated by advanced aerospace systems. Adaptable, ro- bust and computationally effcient, multi-resolution approximation algorithms based on Radial Basis Function Network and Global-Local Orthogonal Mapping approaches are developed to address various problems associated with the design of large scale dynamical systems. The main feature of the Radial Basis Function Network approach is the unique direction dependent scaling and rotation of the radial basis function via a novel Directed Con
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Kim, Hee Sun. "Nonlinear multi-scale anisotropic material and structural models for prosthetic and native aortic heart valves." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29671.

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Thesis (Ph.D)--Civil and Environmental Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Haj-Ali, Rami; Committee Member: White, Donald; Committee Member: Will, Kenneth; Committee Member: Yavari, Arash; Committee Member: Yoganathan, Ajit. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Vallet, Anais. "Etude de la balance Excitatiοn/Ιnhibitiοn de régiοns cérébrales impliquées dans une tâche de cοntrôle inhibiteur : mοdélisatiοn de dοnnées οbtenues en Ιmagerie par Résοnance Μagnétique fοnctiοnnelle et inversiοn". Electronic Thesis or Diss., Normandie, 2024. http://www.theses.fr/2024NORMC014.

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En psychologie, le contrôle inhibiteur est un mécanisme cognitif qui permet de stopper une ré-ponse motrice, émotionnelle ou cognitive non adaptée pour la réalisation d’un but désiré. Au niveaucérébral, le contrôle inhibiteur est associé au fonctionnement en réseau de régions cérébrales, quipeut être mesuré à partir du signal BOLD en IRMf. Des régions de contrôle préfrontales abaissentl’activité BOLD de régions cibles. L’IRMf permet de mesurer de manière indirecte l’activité desneurones. Comment peut-on alors inférer à partir de données d’IRMf des propriétés excitatriceset inhibitrices (E/I) n
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Montegiglio, Pasquale. "Nonlinear Circuit Models for EH Applications Including Multiple Scales." Doctoral thesis, 2019. http://hdl.handle.net/11589/161060.

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Il presente lavoro di tesi è incentrato sulla modellazione dinamica dei dispositivi per l’energy harvesting basati su materiali piezoelettrici. L’indagine mira allo studio ed alla riproduzione dei comportamenti non lineari ascrivibili a due differenti cause: non linearità costitutive del materiale elettroattivo; non linearità legate ad effetti geometrici. Gli approcci adottati perfezionano i classici modelli di ordine ridotto attraverso l’inclusione di effetti dovuti sia all’isteresi ferroelettrica/ferroelastica dei materiali piezoelettrici sia alle grandi deformazioni, pervenendo, in ultim
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Books on the topic "Multi-Scale nonlinear dynamics"

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Zeitlin, Vladimir. Geophysical Fluid Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.001.0001.

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The book explains the key notions and fundamental processes in the dynamics of the fluid envelopes of the Earth (transposable to other planets), and methods of their analysis, from the unifying viewpoint of rotating shallow-water model (RSW). The model, in its one- or two-layer versions, plays a distinguished role in geophysical fluid dynamics, having been used for around a century for conceptual understanding of various phenomena, for elaboration of approaches and methods, to be applied later in more complete models, for development and testing of numerical codes and schemes of data assimilat
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Zeitlin, Vladimir. Resonant Wave Interactions and Resonant Excitation of Wave-guide Modes. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198804338.003.0012.

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The idea of resonant nonlinear interactions of waves, and of resonant wave triads, is first explained using the example of Rossby waves, and then used to highlight a mechanism of excitation of wave-guide modes, by impinging free waves at the oceanic shelf, and at the equator. Physics and mathematics of the mechanism, which is related to the phenomena of parametric resonance and wave modulation, are explained in detail in both cases. The resulting modulation equations, of Ginzburg–Landau or nonlinear Schrodinger type, are obtained by multi-scale asymptotic expansions and elimination of resonanc
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Book chapters on the topic "Multi-Scale nonlinear dynamics"

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Cui, Dongze, Mohamed Ichchou, Abdel-Malek Zine, and Noureddine Atalla. "Multi-scale Dynamics and Nonlinear Eigenvalue Problem of Heterogeneous Metastructures Using a Wave Finite Element Scheme and Modal Strain Energy Method." In Advances in Nonlinear Dynamics and Control of Mechanical and Physical Systems. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-7958-5_11.

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Yang, Huiyi, Dongwu Li, and Chao Xu. "A Novel Tangential Friction Modelling Approach Considering Multi-scale Contact Pressure Distribution for Predicting the Nonlinear Dynamics of a Bolted Joint." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-8048-2_256.

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Popel, Sergey I. "Fine Particles and Nonlinear Processes in Plasma Heliogeophysics." In Multi-scale Dynamical Processes in Space and Astrophysical Plasmas. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30442-2_22.

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Browning, Philippa K., Michael R. Bareford, and Mykola Gordovskyy. "Relaxation and Heating Triggered by Nonlinear Kink Instability: Application to Solar Flares and Coronal Heating." In Multi-scale Dynamical Processes in Space and Astrophysical Plasmas. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30442-2_8.

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Wang, Huanyou, and Guangqi Xie. "Multi-Time Scale Reactive Power and Voltage Optimization Control Based on Second-Order Cone Programming." In Advances in Transdisciplinary Engineering. IOS Press, 2024. https://doi.org/10.3233/atde241294.

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With the large-scale integration of distributed generations (DGs) such as photovoltaics (PVs) and wind turbines (WTs) into the distribution network (DN), problems such as increased network loss, increased voltage offset, and voltage exceeding limit have arisen. This article establishes a dynamic reactive power optimization multi-objective model for active and reactive power coordination in DN, which includes various active management devices such as energy storage system, DGs, capacitor banks (CBs), and static var generations (SVGs). Through linearization and convex relaxation processing, tran
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Sree Vidhya, S., and S. Jayalakshmi. "Reinforcement Learning for Automated Curriculum Adaptation Based on Continuous Student Feedback Loops." In Artificial Intelligence-Powered Learning Analytics and Student Feedback Mechanisms for Dynamic Curriculum Enhancement and Continuous Quality Improvement in Outcome-Based Education. RADemics Research Institute, 2025. https://doi.org/10.71443/9789349552531-12.

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This book chapter explores the innovative integration of Reinforcement Learning (RL) for automated curriculum adaptation, utilizing continuous student feedback loops to enhance personalized learning experiences. As educational systems increasingly shift toward adaptive learning environments, RL offers a promising solution for real-time curriculum adjustments based on individual student progress and behavior. By modeling dynamic states and actions, the RL framework can effectively personalize learning paths, addressing complex challenges such as nonlinear learning trajectories, delayed rewards,
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Conference papers on the topic "Multi-Scale nonlinear dynamics"

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Littell, Justin, Michael Seal, Edwin Fasanella, Karen Jackson, and Martin Annett. "The Development of Two Composite Energy Absorbers for Use in a Transport Rotorcraft Airframe Crash Testbed (TRACT 2) Full-Scale Crash Test." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10141.

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Two composite energy absorbers were developed and evaluated at NASA Langley Research Center through multi-level testing and simulation performed under the Transport Rotorcraft Airframe Crash Testbed (TRACT) research program. A conical-shaped energy absorber, designated the conusoid, was evaluated that consisted of four layers of hybrid carbon-Kevlar® plain weave fabric oriented at [+45°°/-45°/-45°/+45°] with respect to the vertical direction. A sinusoidal-shaped energy absorber, designated the sinusoid, was developed that consisted of hybrid carbon-Kevlar® plain weave fabric face sheets, two l
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JI, JUNYI, Derek Gloudemans, Gergely Zachár, et al. "Poster: Multi-scale dynamics of nonlinear traffic waves." In 77th Annual Meeting of the APS Division of Fluid Dynamics. American Physical Society, 2024. http://dx.doi.org/10.1103/aps.dfd.2024.gfm.p2685652.

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Hramov, Alexander E., Vladimir Makarov, Daniil Kirsanov, Mikhail Goremyko, and Andrej Andreev. "Nonlinear dynamics of the complex multi-scale network." In Saratov Fall Meeting 2017: Fifth International Symposium on Optics and Biophotonics: Laser Physics and Photonics XIX; Computational Biophysics and Analysis of Biomedical Data IV, edited by Vladimir L. Derbov and Dmitry E. Postnov. SPIE, 2018. http://dx.doi.org/10.1117/12.2315095.

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Montegiglio, Pasquale, Claudio Maruccio, Giuseppe Acciani, Gianluca Rizzello, and Stefan Seelecke. "Nonlinear Multi-Scale Dynamics Modeling of a Piezoelectric Energy Harvester." In 2018 IEEE International Conference on Environment and Electrical Engineering and 2018 IEEE Industrial and Commercial Power Systems Europe (EEEIC / I&CPS Europe). IEEE, 2018. http://dx.doi.org/10.1109/eeeic.2018.8493962.

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Sepehri, A., and K. Farhang. "A Multi-Scale Account of Friction-Vibration Interaction." In STLE/ASME 2008 International Joint Tribology Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ijtc2008-71256.

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Using a nonlinear model of a two disk brake system, coupled equations of motion are found for their frictional interaction. The mathematical formulation relates the tribological events at micron scale and the macroscopic scale vibration response of a two-disk brake system. This is accomplished by a viscoelastic account of interaction at the micron scale, its statistical quantification through the approximate analytical representation of the statistical expectation of contact force and the introduction of the contact force into the macro-scale dynamics of the two-disk system. Steady-state analy
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Roy, Samit, Avinash Akepati, and Nicholas Hayes. "Multi-scale Modeling of Nano-Particle Reinforced Polymers in the Nonlinear Regime." In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
20th AIAA/ASME/AHS Adaptive Structures Conference
14th AIAA. American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-1822.

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Weiss, M., S. Ture, and C.-H. Lamarque. "MULTI-SCALE ENERGY PUMPING BETWEEN A MAIN OSCILLATOR INCLUDING SAINT-VENANT TERM AND A NONLINEAR ENERGY SINK." In 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2014. http://dx.doi.org/10.7712/120113.4634.c1121.

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Williams, Todd. "A New Type of General Theory for the Development of Nonlinear, Multi-scale Plate Theories." In 49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
16th AIAA/ASME/AHS Adaptive Structures Conference
10t. American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-2305.

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Shukla, Amit. "Classification of Nonlinear Dynamics of Human Posture Using Support Vector Machines." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13609.

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Human postural control can be modeled as a complex, non-linear multi-sensory and multi actuation system. Postural control requires a balance between various sensory inputs and the corresponding response in a motor control framework. Various motor control disorders result in a propensity for fall. In this paper, a classification scheme using support vector machines (SVM) is investigated to classify individuals between healthy and those prone to balance disorders including falls. First, a computational model is described to illustrate the proposed approach. It is shown that using SVM, in conjunc
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Heinze, Torsten, Lars Panning-von Scheidt, Jörg Wallaschek, and Andreas Hartung. "Rotational Speed-Dependent Contact Formulation for Nonlinear Blade Dynamics Prediction." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75290.

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Considering rotational speed-dependent stiffness for vibrational analysis of friction-damped bladed disk models has proven to lead to significant improvements in nonlinear frequency response curve computations. The accuracy of the result is driven by a suitable choice of reduction bases. Multi-model reduction combines various bases which are valid for different parameter values. This composition reduces the solution error drastically. The resulting set of equations is typically solved by means of the harmonic balance method. Nonlinear forces are regularized by a Lagrangian approach embedded in
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Reports on the topic "Multi-Scale nonlinear dynamics"

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RESEARCH ON DYNAMIC LOAD CARRYING CAPACITY OF ASSEMBLED INTERNAL STIFFENING WIND TURBINE TOWER BASED ON MULTI-SCALE MODELING. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.513.

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"The development of wind power technology requires higher and larger wind turbines, which requires the bearing tower to increase its height and diameter. The assembled internal stiffened wind turbine tower divides the tower into multiple arc plates along the longitudinal direction, which can be easy transported to the site for assembly. That can solve the problem of height limit in highway transportation. At the same time, the internal stiffener provides better stability and can replace the bottom tower section of conventional wind turbine tower. In this study, the tower section of assembled i
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RESEARCH ON DYNAMIC LOAD CARRYING CAPACITY OF ASSEMBLED INTERNAL STIFFENING WIND TURBINE TOWER BASED ON MULTI-SCALE MODELING. The Hong Kong Institute of Steel Construction, 2023. http://dx.doi.org/10.18057/ijasc.2023.19.1.11.

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The development of wind power technology requires higher and larger wind turbines, which requires the bearing tower to increase its height and diameter. The assembled internal stiffened wind turbine tower divides the tower into multiple arc plates along the longitudinal direction, which can be easy transported to the site for assembly. That can solve the problem of height limit in highway transportation. At the same time, the internal stiffener provides better stability and can replace the bottom tower section of conventional wind turbine tower. In this study, the tower section of assembled in
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