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Journal articles on the topic 'Structural stability Mathematical models'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 January 2023

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1

Kostrobij, P. P., and I. A. Ryzha. "Stability of carbon monoxide oxidation process on gold nanoparticles." Mathematical Modeling and Computing 8, no. 1 (2020): 116–24. http://dx.doi.org/10.23939/mmc2021.01.116.

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The stability conditions for mathematical models of carbon monoxide oxidation on the surface of gold nanoparticles are investigated. The cases of reaction mechanisms of one-step and step-by-step transformation of reagents are consecutively considered. Using the stability analysis by Lyapunov method, it is shown that models which take into account the possibility of structural changes of the catalyst surface can predict the occurrence of oscillatory mode in the system as a result of Hopf instability.

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Smirnov, Sergey N. "Realistic Models of Financial Market and Structural Stability." Journal of Mathematics 2021 (June 21, 2021): 1–8. http://dx.doi.org/10.1155/2021/6651324.

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The main aim of this article is to show the role of structural stability in financial modelling; that is, a specific “no-arbitrage” property is unaffected by small perturbations of the model’s dynamics. We prove that under the structural stability assumption, given a convex compact-valued multifunction, there exists a stochastic transition kernel with supports coinciding with this multifunction and one that is strong Feller in the strict sense. We also demonstrate preservation of structural stability for sufficiently small deviations of transition kernels for different probability metrics.

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DUCROT, ARNAUD. "STRUCTURAL STABILITY OF COMBUSTION MODELS WITH COMPLEX CHEMISTRY." Mathematical Models and Methods in Applied Sciences 16, no. 06 (June 2006): 793–817. http://dx.doi.org/10.1142/s0218202506001352.

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This work is devoted to the study of semi-linear elliptic systems in unbounded cylinders with linear dependence of the components of the nonlinearity vector. We reduce the study of such a problem with non-Fredholm operator to the study of a perturbation of some reaction-diffusion operator which satisfies the Fredholm property. Then sufficient conditions that ensure the structural stability of particular solutions are given. These conditions are applied to derive some existence results for some combustion model with complex chemistry and for some KPP like system.

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Kulik, Anatoliy, Konstantin Dergachov, Sergey Pasichnik, and Sergey Yashyn. "Motions models of a two-wheeled experimental sample." RADIOELECTRONIC AND COMPUTER SYSTEMS, no. 1 (February 27, 2021): 40–49. http://dx.doi.org/10.32620/reks.2021.1.03.

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The subject of study is the physical processes of translational and angular motion of a two-wheeled experimental sample. The goal is to develop physical, mathematical, and graphic models of the translational and angular motions of a two-wheeled experimental sample as an object of automatic control. The objectives: to form physical models of a two-wheeled experimental sample; to develop a nonlinear mathematical description of the processes of translational and angular sample`s motions using the Lagrange approach; to obtain a linearized mathematical sample`s description as an object of automatic

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Nguyen, Ngoc Hung, Van Phan Do, and Hoa Tien Vu. "Estimating Disturbance Torque Effects on the Stability and Control Performance of Two-Axis Gimbal Systems." Journal of the Russian Universities. Radioelectronics 25, no. 4 (September 29, 2022): 63–71. http://dx.doi.org/10.32603/1993-8985-2022-25-4-63-71.

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Introduction. Two-axis gimbal systems are applied for stabilizing and controlling the line of sight (LOS) of an optical or imaging system mounted on a moving vehicle. Gimbal systems are intended to isolate various disturbance torques and control the LOS toward the direction of a target. Two-axis gimbals can be of two main types, namely Yaw-Pitch and Swing-Roll type. In this article, we focus on investigating mathematical models of two-axis gimbals, which describe the impact of cross-disturbance torques on their stability and control performance. Simulations were conducted to compare advantages

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WYLLER, JOHN, PATRICK BLOMQUIST, and GAUTE T. EINEVOLL. "ON THE ORIGIN AND PROPERTIES OF TWO-POPULATION NEURAL FIELD MODELS - A TUTORIAL INTRODUCTION." Biophysical Reviews and Letters 02, no. 01 (January 2007): 79–98. http://dx.doi.org/10.1142/s1793048007000441.

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Neural field models have a long tradition in mathematical neuroscience, and in the present tutorial paper we outline the neurobiological and biophysical origin of such models, in particular two-population field models describing excitatory and inhibitory neurons interacting via nonlocal spatial connections. Results from investigations of such models on the existence and stability of stationary localized activity pulses ('bumps') and generation of stationary spatial and spatiotemporal oscillations through Turing-type instabilities are described.

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Corradi, Valentina, and Norman R. Swanson. "Testing for structural stability of factor augmented forecasting models." Journal of Econometrics 182, no. 1 (September 2014): 100–118. http://dx.doi.org/10.1016/j.jeconom.2014.04.011.

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Maldhure, Atul V., and Jayant D. Ekhe. "Effect of modifications of lignin on thermal, structural, and mechanical properties of polypropylene/modified lignin blends." Journal of Thermoplastic Composite Materials 30, no. 5 (October 22, 2015): 625–45. http://dx.doi.org/10.1177/0892705715610402.

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Use of organic biomass, industrial waste lignin, was considered interesting due to its easy availability, polymeric nature, and ample scope to modify with an aim to replace conventional metal oxides to achieve improved properties of the blend when blended with polyolefins. To study the effect of chemical modification of lignin on the thermal, structural, and mechanical properties of polypropylene (PP)/modified lignin blends, purified industrial waste lignin was modified by two different chemical methods and blended in various proportions in PP matrix. The thermal stability of the blends was st

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9

Barigozzi, Matteo, and Lorenzo Trapani. "Sequential testing for structural stability in approximate factor models." Stochastic Processes and their Applications 130, no. 8 (August 2020): 5149–87. http://dx.doi.org/10.1016/j.spa.2020.03.003.

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10

Akimov, Pavel A., Alexandr M. Belostosky, Marina L. Mozgaleva, Mojtaba Aslami, and Oleg A. Negrozov. "Correct Multilevel Discrete-Continual Finite Element Method of Structural Analysis." Advanced Materials Research 1040 (September 2014): 664–69. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.664.

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The distinctive paper is devoted to correct multilevel discrete-continual finite element method (DCFEM) of structural analysis based on precise analytical solutions of resulting multipoint boundary problems for systems of ordinary differential equations with piecewise-constant coefficients. Corresponding semianalytical (discrete-continual) formulations are contemporary mathematical models which currently becoming available for computer realization. Major peculiarities of DCFEM include universality, computer-oriented algorithm involving theory of distributions, computational stability, optimal

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11

Balint, Stefan, Agneta Maria Balint, and Achim Ionita. "Oscillation Susceptibility Analysis of the ADMIRE Aircraft along the Path of Longitudinal Flight Equilibriums in Two Different Mathematical Models." Differential Equations and Nonlinear Mechanics 2009 (2009): 1–26. http://dx.doi.org/10.1155/2009/842656.

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The oscillation susceptibility of the ADMIRE aircraft along the path of longitudinal flight equilibriums is analyzed numerically in the general and in a simplified flight model. More precisely, the longitudinal flight equilibriums, the stability of these equilibriums, and the existence of bifurcations along the path of these equilibriums are researched in both models. Maneuvers and appropriate piloting tasks for the touch-down moment are simulated in both models. The computed results obtained in the models are compared in order to see if the movement concerning the landing phase computed in th

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12

Lei, Mingfeng, Linghui Liu, Yuexiang Lin, Chenghua Shi, Weichao Yang, Chengyong Cao, and Yao Liu. "Research Progress on Stability of Slurry Wall Trench of Underground Diaphragm Wall and Design Method of Slurry Unit Weight." Advances in Civil Engineering 2019 (December 16, 2019): 1–19. http://dx.doi.org/10.1155/2019/3965374.

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This paper performs an extensive literature survey and example investigation on the stabilisation of slurry wall trenches during the construction of diaphragm wall panel trenches, and the failure modes of slurry wall trench instability, the stability theoretical analysis models and methods, the slurry formation and its protection mechanism, the influence of related factors on slurry wall trench stabilisation, and other related problems are summarized and analyzed emphatically. And then, based on the limit equilibrium analysis method, the mechanical models of the overall stability and local sta

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Xu, Min, Lin Zhu, and Ze Xiang Cai. "The Unified Design for Inter-Area Stability Control Based on Backstepping." Advanced Materials Research 383-390 (November 2011): 1124–30. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.1124.

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This paper proposes a unified method for inter-area power oscillations which is the key to solve coordination problems caused by different mathematical models and control theories. Firstly, the unified model, breaking the constraints of the network topology, component and the precise extents in the process, is established based on global signals. Secondly, making use of the structural feature of the unified system model, it combines advanced control theory to resolve the problem of parameter uncertainty and model error. Finally, the control law is effectively derived with backstepping method.

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14

Wei, Yi, Shuilong He, Enyong Xu, Genge Zhang, Rongjiang Tang, Wei Wang, and Chao Li. "Steady-State Steering Characteristics of Mathematical Model for Semitrailer Based on Variations in Camber Parameters." Shock and Vibration 2020 (June 13, 2020): 1–14. http://dx.doi.org/10.1155/2020/6272397.

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To master the basic characteristics of steady-state cornering for a semitrailer, this paper summarises the current modelling methods for handling and stability and discusses their limitations. The classical linear mathematical model for a two-degree-of-freedom (DOF) handling and stability system is used to develop a new model. Analysis methods are proposed to introduce the influence of the camber angle and body roll into the model parameters. Thus, a mathematical model for the lateral stability of semitrailer with five DOFs is established. At the same time, a modified formula to calculate the

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15

Ahmed, N. U., and H. Harbi. "Stability of suspension bridge I: Aerodynamic and structural damping." Mathematical Problems in Engineering 4, no. 1 (1998): 73–98. http://dx.doi.org/10.1155/s1024123x98000738.

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In this paper we consider a few dynamic models of suspension bridge described by partial differential equations with linear and nonlinear couplings. We study analytically the stability properties of these models and the relative effectiveness of aerodynamic and structural damping. Increasing aerodynamic or structural damping indefinitely does not necessarily increase the decay rate indefinitely. In view of possible disastrous effects of high wind, structural damping is preferable to aerodynamic (viscous) damping. These results are illustrated by numerical simulation.

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16

Harfash, Akil J. "Structural Stability for Two Convection Models in a Reacting Fluid with Magnetic Field Effect." Annales Henri Poincaré 15, no. 12 (December 18, 2013): 2441–65. http://dx.doi.org/10.1007/s00023-013-0307-z.

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17

Yue, Jing Tao, Hui Pu, and Xiao Jun Wei. "The Transitional Simulation of Self-Propelled Winch System by the AMESim." Applied Mechanics and Materials 687-691 (November 2014): 228–31. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.228.

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The self-propelled winch system was studied taking the 20-ton transitional self-driven winch system as the engineering background. By the analysis of structural characteristics, control loops, speed solutions and hydraulic motor-driven forms of winch hydraulic system, The system of mathematical models was established which lay the foundation of the establishment of system simulation model. The walking hydraulic drive system simulation models were established by using AMESim software. On this basis, by setting different parameters, the simulation system operating conditions are simulated, which

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18

Dimitriadis, G., and J. E. Cooper. "A method for identification of non-linear multi-degree-of-freedom systems." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 212, no. 4 (April 1, 1998): 287–98. http://dx.doi.org/10.1243/0954410981532441.

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System identification methods for non-linear aeroelastic systems could find uses in many aeroelastic applications such as validating finite element models and tracking the stability of aircraft during flight flutter testing. The effectiveness of existing non-linear system identification techniques is limited by various factors such as the complexity of the system under investigation and the type of non-linearities present. In this work, a new approach is introduced which can identify multi-degree-of-freedom systems featuring any type of non-linear function, including discontinuous functions. T

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19

MEIMAND, VAHID ZEINODDINI, LORI GRAHAM-BRADY, and BENJAMIN WILLIAM SCHAFER. "IMPERFECTION SENSITIVITY AND RELIABILITY USING SIMPLE BAR-SPRING MODELS FOR STABILITY." International Journal of Structural Stability and Dynamics 13, no. 03 (April 2013): 1250075. http://dx.doi.org/10.1142/s0219455412500757.

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The objective of this paper is to demonstrate how simple bar-spring models can illustrate elementary and advanced structural behavior, including stability, imperfection sensitivity, and plastic collapse. In addition, the same bar-spring models also provide a ready means for assessing structural reliability. Bar-spring models for a column (both post-buckling stable and unstable), a frame, and a plate are all developed. For each model the influence of geometric imperfections are explicitly introduced and the ultimate strength considering plastic collapse of the supporting springs derived. The de

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20

LAZKOZ, RUTH. "RIGIDITY OF COSMIC ACCELERATION IN A CLASS OF k-ESSENCE COSMOLOGIES." International Journal of Modern Physics D 14, no. 03n04 (April 2005): 635–41. http://dx.doi.org/10.1142/s0218271805006560.

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We study the structural stability of a cosmic acceleration (inflation) in a class of k-essence cosmologies against changes in the shape of the potential. Those models may be viewed as generalized tachyon cosmologies and this analysis extends previous results on the structural stability of cosmic acceleration in tachyon cosmologies. The study considers both phantom and non-phantom cases. The concepts of rigidity and fragility are defined through a condition on the functional form of the Hubble factor. Given the known result of the existence of inflationary (non-phantom) and super-inflationary (

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21

Avila-Becerril, Sofía, Gerardo Espinosa-Pérez, and Paul Fernandez. "Dynamic Characterization of Typical Electrical Circuits via Structural Properties." Mathematical Problems in Engineering 2016 (2016): 1–13. http://dx.doi.org/10.1155/2016/7870462.

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The characterization of a class of electrical circuits is carried out in terms of both stability properties and steady-state behavior. The main contribution is the interpretation of the electrical topology (how the elements that conform the circuits are interconnected) in terms of mathematical properties derived from the structure of their models. In this sense, at what extent the topology by itself defines the dynamic behavior of the systems is explained. The study is based on the graph theory allowing capturing, departing from the well-known Kirchhoff laws, the topology of the circuits into

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22

Zumatov, S. S. "On a program manifold’s stability of one contour automatic control systems." Open Engineering 7, no. 1 (December 29, 2017): 479–84. http://dx.doi.org/10.1515/eng-2017-0051.

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AbstractMethodology of analysis of stability is expounded to the one contour systems automatic control feedback in the presence of non-linearities. The methodology is based on the use of the simplest mathematical models of the nonlinear controllable systems. Stability of program manifolds of one contour automatic control systems is investigated. The sufficient conditions of program manifold’s absolute stability of one contour automatic control systems are obtained. The Hurwitz’s angle of absolute stability was determined. The sufficient conditions of program manifold’s absolute stability of co

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23

Кулик, Анатолий Степанович, Евгений Валерьевич Филиппович, Константин Юрьевич Дергачев, Сергей Николаевич Пасичник та Юрий Александрович Немшилов. "УПРАВЛЕНЧЕСКИЕ МОДЕЛИ УГЛОВОГО ДВИЖЕНИЯ КОРОМЫСЛА С ВИНТОВЫМИ ЭЛЕКТРОПРИВОДАМИ". Aerospace technic and technology, № 3 (26 червня 2020): 4–14. http://dx.doi.org/10.32620/aktt.2020.3.01.

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The subject of study in the article is the forming models' process for the angular motion of the rocker with screw electric actuators. The purpose is to develop the approach to the simplest models formation for the angular motion of the rocker with screw electric actuators as the automatic control object. Tasks: to form the physical model of rocker with screw electric actuators. Using the Lagrangian formalism develop the non-linear mathematical description of the angular motion process of a rocker with screw electric actuators. To obtain the linearized mathematical description of the automatic

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24

Rongong, J. A., J. R. Wright, R. J. Wynne, and G. R. Tomlinson. "Modelling of a Hybrid Constrained Layer/Piezoceramic Approach to Active Damping." Journal of Vibration and Acoustics 119, no. 1 (January 1, 1997): 120–30. http://dx.doi.org/10.1115/1.2889679.

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It has been shown that significant reductions in structural vibration levels can be achieved using a hybrid system involving constrained layer damping and active control with piezoceramics. In this paper, mathematical models based on the Rayleigh Ritz approach, are developed to describe the longitudinal and flexural vibration behaviour of a cantilevered beam when excited using piezoceramic patches bonded to a constrained layer damping treatment. Predictions of static and steady state dynamic behaviour, obtained using the models are validated by comparison with results from finite element analy

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25

Akimov, Pavel A. "Correct Discrete-Continual Finite Element Method of Structural Analysis Based on Precise Analytical Solutions of Resulting Multipoint Boundary Problems for Systems of Ordinary Differential Equations." Applied Mechanics and Materials 204-208 (October 2012): 4502–5. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4502.

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The distinctive paper is devoted to correct discrete-continual finite element method (DCFEM) of structural analysis based on precise analytical solutions of resulting multipoint boundary problems for systems of ordinary differential equations with piecewise-constant coefficients. Corresponding semianalytical (discrete-continual) formulations are contemporary mathematical models which currently becoming available for computer realization. Major peculiarities of DCFEM include uni-versality, computer-oriented algorithm involving theory of distributions, computational stability, optimal conditiona

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26

Norkus, Arnoldas, and Romanas Karkauskas. "STEPPED OPTIMIZATION ALGORITHM FOR LIGHT‐WEIGHT ELASTIC‐PLASTIC STRUCTURES CONSIDERING LOAD COMBINATIONS." Technological and Economic Development of Economy 11, no. 4 (December 31, 2005): 302–9. http://dx.doi.org/10.3846/13928619.2005.9637712.

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The aim of the article is to present a developed algorithm of a stepped structural optimization method in the case of load combinations. The presentation of external loading via load combinations usually is employed in design codes. The pin‐jointed steel structures as light‐weight ones are widely used in actual engineering practice. The employment of dissipative features of material via elastic‐plastic model ensures a significant reduction of structural carrying capacity reserves (essential economic effect) versus the employment of structural response only in the elastic range. The stability,

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27

Arnoldi, Jean-François, and Bart Haegeman. "Unifying dynamical and structural stability of equilibria." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2193 (September 2016): 20150874. http://dx.doi.org/10.1098/rspa.2015.0874.

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We exhibit a fundamental relationship between measures of dynamical and structural stability of linear dynamical systems—e.g. linearized models in the vicinity of equilibria. We show that dynamical stability, quantified via the response to external perturbations (i.e. perturbation of dynamical variables), coincides with the minimal internal perturbation (i.e. perturbations of interactions between variables) able to render the system unstable. First, by reformulating a result of control theory, we explain that harmonic external perturbations reflect the spectral sensitivity of the Jacobian matr

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Yazyev, Serdar, Yu Konoplev, Svetlana Yazyeva, and Leysan Akhtyamova. "Buckling of rotating rods under the action of axial compressive forces taking into account their own weight." Construction and Architecture 8, no. 3 (August 1, 2020): 12–22. http://dx.doi.org/10.29039/2308-0191-2020-8-3-12-22.

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The article is devoted to the conclusion of resolving equations for solving the tasks of bulging rotating rods subject to the action of compressive co-centric forces taking into account uniformly distributed load along the axis. In this mode, for example, fast-moving shafts operate. The purpose of this article is to provide an engineer with a method for calculating drill pipes, tested diagrams and justification of conditions in rotary drilling. The new mathematical models describing stability of rods taking into account own weight and new software are proposed. Numerical simu

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Bascetta, Luca, Marcello Farina, Alessandro Gabrielli, and Matteo Matteucci. "A feedback linearisation algorithm for single-track models with structural stability properties." Control Engineering Practice 128 (November 2022): 105318. http://dx.doi.org/10.1016/j.conengprac.2022.105318.

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30

Harfash, A. J. "Structural stability for convection models in a reacting porous medium with magnetic field effect." Ricerche di Matematica 63, no. 1 (April 11, 2013): 1–13. http://dx.doi.org/10.1007/s11587-013-0152-x.

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Katanov, Yuriy, Yuriy Vaganov, and Matvey Cheymetov. "Neural simulation-based analysis of the well wall stability while productive seam penetrating." Mining of Mineral Deposits 15, no. 4 (December 2021): 91–98. http://dx.doi.org/10.33271/mining15.04.091.

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Purpose is the development of mathematical models to evaluate deformation of parameters of the rock mass-well geological and engineering system within the anisotropic media. Methods. Both mathematical and neural modeling of a stress state of the rock mass-well system under conditions of geological uncertainty has been applied for the studies. From the viewpoint of mathematical modeling, analysis of probability of factors, complicating drilling, should involve a number of assumptions for strength and deformation characteristics of rock mass layers corresponding to particular hole-making conditi

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Sobchuk, V., A. Laptev, I. Salandа, and Yu Sachuk. "MATHEMATICAL MODEL OF INFORMATION NETWORK STRUCTURE ON THE BASIS OF NON-STATIONARY HIERARCHICAL AND STATIONARY HYPERSLETS." Collection of scientific works of the Military Institute of Kyiv National Taras Shevchenko University, no. 64 (2019): 124–32. http://dx.doi.org/10.17721/2519-481x/2019/64-12.

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The article developed a model of the structure of an integrated information network based on a nonstationary hierarchical and stationary hypernetwork, taking into account the destructive effects of various kinds. The functional stability of the integrated information network in the work is understood as the ability of the system to function, albeit with a decrease in quality, for a given time under the influence of external and internal destabilizing factors. External and internal destabilizing factors are understood as failures, malfunctions of system elements, deliberate damages, combat defe

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Kou, Farong, Qiangqiang Jing, Chen Chen, and Jianghao Wu. "Endocrine Composite Skyhook-Groundhook Control of Electromagnetic Linear Hybrid Active Suspension." Shock and Vibration 2020 (February 29, 2020): 1–17. http://dx.doi.org/10.1155/2020/3402168.

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In order to effectively improve vehicle riding comfort, handling stability, and realize vibration energy recovery, a new kind of electromagnetic linear hybrid active suspension (EMLHAS) integrated with linear motor and solenoid valve shock absorber is put forward. Firstly, for the analysis of the suspension performance, a quarter dynamic model of EMLHAS is established. At the same time, the mathematical models of a linear motor, including the active state and energy-regenerative state, are found. The correctness of mathematical models for the linear motor in the active and energy-regenerative

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Wang, D. Q., C. J. Wu, and R. C. Yang. "An Insight into the Analytical Models of Granular Particle Damping." Advanced Materials Research 819 (September 2013): 13–19. http://dx.doi.org/10.4028/www.scientific.net/amr.819.13.

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Granular particle damping technique is a means for achieving high structural damping by the use of metal particles filled into an enclosure which is attached to the structure in a region of high vibration levels. The particle dampers are now preferred over traditional dampers due to the stability, robustness, cost effectiveness and the lower noise level than the impact damper. Such a promising technique has been used successfully in many fields over the past 20 years. In this paper, a state-of-art review on the development of modeling for particle damping is presented. The fundamentals and ind

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35

Potachits, Ya V. "A Study of the Occurrence of Resonance under the Influence of Dynamic Forces on the Structural Elements of Electrical Installations." ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations 64, no. 3 (June 4, 2021): 228–38. http://dx.doi.org/10.21122/1029-7448-2021-64-3-228-238.

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The increase in the levels of short-circuit currents in the power system of the Republic of Belarus requires the study of the parameters of the electrodynamic stability of the main structural elements of electrical installations with flexible conductors. In case of a short circuit in the network, currents tenfold exceeding the rated one hundreds of times can flow through the current-carrying part of the device. When the magnetic fields formed by these currents interact, significant electromagnetic forces arise, which have a destructive effect both on the current-carrying parts themselves and o

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COOMBES, S., Y. M. LAI, M. ŞAYLI, and R. THUL. "Networks of piecewise linear neural mass models." European Journal of Applied Mathematics 29, no. 5 (February 20, 2018): 869–90. http://dx.doi.org/10.1017/s0956792518000050.

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Neural mass models are ubiquitous in large-scale brain modelling. At the node level, they are written in terms of a set of ordinary differential equations with a non-linearity that is typically a sigmoidal shape. Using structural data from brain atlases, they may be connected into a network to investigate the emergence of functional dynamic states, such as synchrony. With the simple restriction of the classic sigmoidal non-linearity to a piecewise linear caricature, we show that the famous Wilson–Cowan neural mass model can be explicitly analysed at both the node and network level. The constru

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Tkachuk, Mykola А., Andrey Grabovskiy, Mykola M. Tkachuk, Illia Klochkov, Mykola Prokopenko, Vladeslav Tretyak, and Iryna Voloshina. "THEORETICAL BASIS FOR ADVANCED SOLUTIONS OF HIGH RPM ELEMENTS OF CIVIL AND MILITARY MACHINES BASED ON STRENGTH AND DYNAMIC STABILITY CRITERIA." Bulletin of the National Technical University «KhPI» Series: Engineering and CAD, no. 1 (December 28, 2022): 79–84. http://dx.doi.org/10.20998/2079-0775.2022.1.08.

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In modern conditions, one of the significant obstacles to ensuring increased power, efficiency and resource of military and civilian vehicles is the exhausted possibilities of traditional technical solutions of basic elements and systems. This primarily applies to high-speed elements, in particular, turbines and rotary parts of air blowers of internal combustion engines, transmissions, drives, hydraulic machines and more. High speeds cause dynamic processes that can potentially lead to problems with strength, rigidity and stability. In order to substantiate the progressive technical solutions

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Tertyshna, Olena, Konstantin Zamikula, Oleg Tertyshny, Olena Zinchenko, and Petro Topilnytskyi. "Phase Equilibrium of Petroleum Dispersion Systems in Terms of Thermodynamics and Kinetics." Chemistry & Chemical Technology 15, no. 1 (February 15, 2021): 132–41. http://dx.doi.org/10.23939/chcht15.01.132.

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The process of paraffin formation has been considered, including the peculiarities of the paraffin structure as a result of phase transitions with a decreasing temperature. Mathematical models for thermodynamic and kinetic calculations of the "solid-liquid" system phase equilibrium have been developed. To shift the "fuel oil-paraffin" balance towards the liquid, it is necessary to reduce the activity ratio of solid and liquid phases by introducing into the system a substance with a lower solubility parameter. To increase the stability, as well as structural and mechanical characteristics of fu

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Elchahal, Ghassan, Pascal Lafon, and Rafic Younes. "Design optimization of floating breakwaters with an interdisciplinary fluid–solid structural problem." Canadian Journal of Civil Engineering 36, no. 11 (November 2009): 1732–43. http://dx.doi.org/10.1139/l09-095.

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The design optimization of floating breakwaters implicates solving an interdisciplinary problem consisting of three models. The first one arises from the interaction of linear waves with a moored floating breakwater with a leeward boundary that is composed of a vertical sidewall representing the quay wall in ports. The second covers the dynamical behaviour of the oscillating structure caused by the incoming waves. These two assemble the hydrodynamic performance of the floating breakwater; while the third concerns its structural mechanics subject to hydrostatic and hydrodynamic forces. The goal

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Berci, Marco. "On Aerodynamic Models for Flutter Analysis: A Systematic Overview and Comparative Assessment." Applied Mechanics 2, no. 3 (July 29, 2021): 516–41. http://dx.doi.org/10.3390/applmech2030029.

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This work reviews different analytical formulations for the time-dependent aerodynamic load of a thin aerofoil and clarifies numerical flutter results available in the literature for the typical section of a flexible wing; inviscid, two-dimensional, incompressible, potential flow is considered in all test cases. The latter are investigated using the exact theory for small airflow perturbations, which involves both circulatory and non-circulatory effects of different nature, complemented by the p-k flutter analysis. Starting from unsteady aerodynamics and ending with steady aerodynamics, quasi-

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Sivilevičius, Henrikas. "INFLUENCE OF HOMOGENEITY OF MINERAL MATERIALS' GRADING AND DOSING ERRORS ON THE STABILITY OF ASPHALT CONCRETE MIXTURE COMPOSITION." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 9, no. 1 (March 31, 2003): 25–35. http://dx.doi.org/10.3846/13923730.2003.10531298.

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Errors of optimal composition asphalt concrete mixture designed in the laboratory and their importance for road construction are investigated. After the analysis of asphalt concrete production according to the traditional technology, factors influencing its structure, characteristics and quality are systematised. Mathematical models of dependence of medium quadratic deviations of siftings of finite dosed mineral materials through control sieves on the means of siftings are estimated by a regressive analysis. Variations of grading of hot fractions 0–5 mm and 5–15 mm as well as cold mineral powd

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BALDWIN, JOHN T. "COMPLETENESS AND CATEGORICITY (IN POWER): FORMALIZATION WITHOUT FOUNDATIONALISM." Bulletin of Symbolic Logic 20, no. 1 (March 2014): 39–79. http://dx.doi.org/10.1017/bsl.2014.3.

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AbstractWe propose a criterion to regard a property of a theory (in first or second order logic) as virtuous: the property must have significant mathematical consequences for the theory (or its models). We then rehearse results of Ajtai, Marek, Magidor, H. Friedman and Solovay to argue that for second order logic, ‘categoricity’ has little virtue. For first order logic, categoricity is trivial; but ‘categoricity in power’ has enormous structural consequences for any of the theories satisfying it. The stability hierarchy extends this virtue to other complete theories. The interaction of model t

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Song, Xinke, Demin Chen, and Baohua Qu. "Topology optimization of robotic arm for gas drainage pipeline installation." Journal of Physics: Conference Series 2383, no. 1 (December 1, 2022): 012014. http://dx.doi.org/10.1088/1742-6596/2383/1/012014.

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By means of finite element analysis and topology optimization methods, the structural optimization and lightweight design of the robotic arm for the installation of gas drainage pipelines are realized, so that it can realize more complex actions under the premise of ensuring stability. SolidWorks 3D modeling and Ansys Workbench analysis software are used to build models of the robotic arm and perform static analysis. The structural design is optimized through the deformation and stress distribution when grasping the maximum weight. The topology optimization mathematical model of the variable d

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Minami, Nathan A. "Using Phenomenological Research to Drive Dynamic Modeling." International Journal of Agent Technologies and Systems 4, no. 2 (April 2012): 60–77. http://dx.doi.org/10.4018/jats.2012040104.

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One of the most difficult aspects in mathematical modeling and simulation is developing data to drive models and learning. This is particularly difficult when the subject involves intangible variables and concepts such as stress and perceptions that are difficult to ascribe a quantitative value to. This paper provides a description of how qualitative data collected during in depth phenomenological interviews with subject matter experts can be used to drive models. It also provides a case study of insurgency warfare and coalition and Afghan National Government performance during the last ten ye

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Avalos, George, and Pelin G. Geredeli. "Stability analysis of coupled structural acoustics PDE models under thermal effects and with no additional dissipation." Mathematische Nachrichten 292, no. 5 (November 27, 2018): 939–60. http://dx.doi.org/10.1002/mana.201700489.

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Toroptsev, E. L., A. S. Marakhovskii, and R. R. Duszynski. "Intersectoral modeling of transients." Economic Analysis: Theory and Practice 19, no. 3 (March 30, 2020): 564–85. http://dx.doi.org/10.24891/ea.19.3.564.

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Subject. The article considers structural transition processes in macroeconomics. Objectives. The aim is to present our own concept and mathematical tools to study structural transitions in macroeconomics. Dynamic inter-industry balance enables to formalize the problem in the form of a Koshi task for ordinary differential equations. Methods. The methodology components include the basics of inter-industry and numerical analysis and modeling of linear or linearized dynamic systems, integral criteria of system dynamics, stability and quality of transitional processes. We also apply a technique fo

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A.V., Chistyakov. "On improving the efficiency of mathematical modeling of the problem of stability of construction." Artificial Intelligence 25, no. 3 (October 10, 2020): 27–36. http://dx.doi.org/10.15407/jai2020.03.027.

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Algorithmic software for mathematical modeling of structural stability is considered, which is reduced to solving a partial generalized eigenvalues problem of sparse matrices, with automatic parallelization of calculations on modern parallel computers with graphics processors. Peculiarities of realization of parallel algorithms for different structures of sparse matrices are presented. The times of solving the problem of stability of composite materialsusing a three-dimensional model of "finite size fibers" on computers of different architectures are given. In mathematical modeling of physical

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Yong, Wen-An, and Yizhou Zhou. "Recent Advances on Boundary Conditions for Equations in Nonequilibrium Thermodynamics." Symmetry 13, no. 9 (September 16, 2021): 1710. http://dx.doi.org/10.3390/sym13091710.

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This paper is concerned with modeling nonequilibrium phenomena in spatial domains with boundaries. The resultant models consist of hyperbolic systems of first-order partial differential equations with boundary conditions (BCs). Taking a linearized moment closure system as an example, we show that the structural stability condition and the uniform Kreiss condition do not automatically guarantee the compatibility of the models with the corresponding classical models. This motivated the generalized Kreiss condition (GKC)—a strengthened version of the uniform Kreiss condition. Under the GKC and th

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Easa, Said M., and Essam Dabbour. "Design radius requirements for simple horizontal curves on three-dimensional alignments." Canadian Journal of Civil Engineering 30, no. 6 (December 1, 2003): 1022–33. http://dx.doi.org/10.1139/l03-022.

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Current North American design guides have established mathematical relationships to calculate the minimum radius required for horizontal curves as a function of design speed, maximum superelevation, and maximum side friction. For three-dimensional (3-D) alignments, the design guides consider the alignment as two separate horizontal and vertical alignments and consequently ignore the effect of vertical alignment. This paper evaluates the effect of vertical alignment on minimum radius requirements using computer simulation, with a focus on trucks. For 3-D alignments, the results showed that exis

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Chen, Cheng-Wu. "Modeling and Fuzzy PDC Control and Its Application to an Oscillatory TLP Structure." Mathematical Problems in Engineering 2010 (2010): 1–13. http://dx.doi.org/10.1155/2010/120403.

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An analytical solution is derived to describe the wave-induced flow field and surge motion of a deformable platform structure controlled with fuzzy controllers in an oceanic environment. In the controller design procedure, a parallel distributed compensation (PDC) scheme is utilized to construct a global fuzzy logic controller by blending all local state feedback controllers. The Lyapunov method is used to carry out stability analysis of a real system structure. The corresponding boundary value problems are then incorporated into scattering and radiation problems. These are analytically solved

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