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Journal articles on the topic 'Dynamic nonlinear analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Rezaiee-Pajand, M., and J. Alamatian. "Nonlinear dynamic analysis by Dynamic Relaxation method." Structural Engineering and Mechanics 28, no. 5 (March 30, 2008): 549–70. http://dx.doi.org/10.12989/sem.2008.28.5.549.

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2

dos Santos, Ketson R. M., Ioannis A. Kougioumtzoglou, and André T. Beck. "Incremental Dynamic Analysis: A Nonlinear Stochastic Dynamics Perspective." Journal of Engineering Mechanics 142, no. 10 (October 2016): 06016007. http://dx.doi.org/10.1061/(asce)em.1943-7889.0001129.

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3

Hwang, Yunn-Lin, and Wei-Hsin Gau. "56670 USING NONLINEAR RECURSIVE METHOD FOR THE DYNAMIC ANALYSIS OF OPEN-LOOP FLEXIBLE MULTIBODY SYSTEMS(Flexible Multibody Dynamics)." Proceedings of the Asian Conference on Multibody Dynamics 2010.5 (2010): _56670–1_—_56670–9_. http://dx.doi.org/10.1299/jsmeacmd.2010.5._56670-1_.

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4

Kiros, H. "Analysis of Nonlinear Dynamic Structures." Momona Ethiopian Journal of Science 6, no. 1 (April 10, 2014): 120. http://dx.doi.org/10.4314/mejs.v6i1.102420.

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5

Daddazio, Raymond P., Mohammed M. Ettouney, and Ivan S. Sandler. "Nonlinear Dynamic Slope Stability Analysis." Journal of Geotechnical Engineering 113, no. 4 (April 1987): 285–98. http://dx.doi.org/10.1061/(asce)0733-9410(1987)113:4(285).

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6

Rashidi, S., A. Fallah, and F. Towhidkhah. "Nonlinear analysis of dynamic signature." Indian Journal of Physics 87, no. 12 (July 12, 2013): 1251–61. http://dx.doi.org/10.1007/s12648-013-0358-5.

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7

Nan, Guofang, Yujie Zhu, Yang Zhang, and Wei Guo. "Nonlinear Dynamic Analysis of Rotor-Bearing System with Cubic Nonlinearity." Shock and Vibration 2021 (May 25, 2021): 1–11. http://dx.doi.org/10.1155/2021/8878319.

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Nonlinear dynamic characteristics of a rotor-bearing system with cubic nonlinearity are investigated. The comprehensive effects of the unbalanced excitation, the internal clearance, the nonlinear Hertzian contact force, the varying compliance vibration, and the nonlinear stiffness of support material are considered. The expression with the linear and the cubic nonlinear terms is adopted to characterize the synthetical nonlinearity of the rotor-bearing system. The effects of nonlinear stiffness, rotating speed, and mass eccentricity on the dynamic behaviors of the system are studied using the rotor trajectory diagrams, bifurcation diagrams, and Poincaré map. The complicated dynamic behaviors and types of routes to chaos are found, including the periodic doubling bifurcation, sudden transition, and quasiperiodic from periodic motion to chaos. The research results show that the system has complex nonlinear dynamic behaviors such as multiple period, paroxysmal bifurcation, inverse bifurcation, jumping phenomena, and chaos; the nonlinear characteristics of the system are significantly enhanced with the increase of the nonlinear stiffness, and the material with lower nonlinear stiffness is more conducive to the stable operation of the system. The research will contribute to a comprehensive understanding of the nonlinear dynamics of the rotor-bearing system.

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8

Esquivel-Avila, Jorge Alfredo. "Dynamic Analysis of a Nonlinear Timoshenko Equation." Abstract and Applied Analysis 2011 (2011): 1–36. http://dx.doi.org/10.1155/2011/724815.

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We characterize the global and nonglobal solutions of the Timoshenko equation in a bounded domain. We consider nonlinear dissipation and a nonlinear source term. We prove blowup of solutions as well as convergence to the zero and nonzero equilibria, and we give rates of decay to the zero equilibrium. In particular, we prove instability of the ground state. We show existence of global solutions without a uniform bound in time for the equation with nonlinear damping. We define and use a potential well and positive invariant sets.

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9

Rachinskii, D., and K. Schneider. "Dynamic Hopf bifurcations generated by nonlinear terms." Journal of Differential Equations 210, no. 1 (March 2005): 65–86. http://dx.doi.org/10.1016/j.jde.2004.10.016.

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10

Denton, Timothy A., and George A. Diamond. "Nonlinear dynamic analysis of electrocardiographic signals." Journal of the American College of Cardiology 15, no. 2 (February 1990): A264. http://dx.doi.org/10.1016/0735-1097(90)92769-x.

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11

Ota, N. S. N., L. Wilson, A. Gay Neto, S. Pellegrino, and P. M. Pimenta. "Nonlinear dynamic analysis of creased shells." Finite Elements in Analysis and Design 121 (November 2016): 64–74. http://dx.doi.org/10.1016/j.finel.2016.07.008.

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12

Wielgosz, C., and G. Marckmann. "Dynamic analysis of nonlinear elastic materials." Computational Materials Science 7, no. 1-2 (December 1996): 1–4. http://dx.doi.org/10.1016/s0927-0256(96)00051-1.

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13

Zhu, Rupeng, and Siyu Wang. "Nonlinear dynamic analysis of GTF gearbox." Vibroengineering PROCEDIA 32 (June 29, 2020): 111–16. http://dx.doi.org/10.21595/vp.2020.21475.

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14

Powell, Graham. "Nonlinear dynamic analysis capabilities and limitations." Structural Design of Tall and Special Buildings 15, no. 5 (December 15, 2006): 547–52. http://dx.doi.org/10.1002/tal.381.

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15

Zhuge, Yan, David Thambiratnam, and John Corderoy. "Nonlinear Dynamic Analysis of Unreinforced Masonry." Journal of Structural Engineering 124, no. 3 (March 1998): 270–77. http://dx.doi.org/10.1061/(asce)0733-9445(1998)124:3(270).

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16

Shen, Danfeng, and Guoming Ye. "Nonlinear dynamic analysis of fiber movement." Fibers and Polymers 7, no. 2 (June 2006): 191–94. http://dx.doi.org/10.1007/bf02908266.

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17

Zhu, K., F. G. A. Al-Bermani, and S. Kitipornchai. "Nonlinear dynamic analysis of lattice structures." Computers & Structures 52, no. 1 (July 1994): 9–15. http://dx.doi.org/10.1016/0045-7949(94)90250-x.

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18

Masuda, Nobutoshi, Takeo Nishiwaki, and Masaru Minagawa. "Nonlinear dynamic analysis of frame structures." Computers & Structures 27, no. 1 (January 1987): 103–10. http://dx.doi.org/10.1016/0045-7949(87)90185-4.

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19

Khalil, M. R., M. D. Olson, and D. L. Anderson. "Nonlinear dynamic analysis of stiffened plates." Computers & Structures 29, no. 6 (January 1988): 929–41. http://dx.doi.org/10.1016/0045-7949(88)90318-5.

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20

Kuo-Mo, Hsiao, and Jang Jing-Yuh. "Nonlinear dynamic analysis of elastic frames." Computers & Structures 33, no. 4 (January 1989): 1057–63. http://dx.doi.org/10.1016/0045-7949(89)90441-0.

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21

OHTSUKI, Atsumi, and Shigemichi OHSHIMA. "Nonlinear Dynamic Analysis of a Japanese bow (Nonlinear Spring Characteristics and Dynamic Behavior)." Transactions of Japan Society of Spring Engineers 2019, no. 64 (March 31, 2019): 23–31. http://dx.doi.org/10.5346/trbane.2019.23.

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22

Berti, A., M. I. M. Copetti, J. R. Fernández, and M. G. Naso. "Analysis of dynamic nonlinear thermoviscoelastic beam problems." Nonlinear Analysis: Theory, Methods & Applications 95 (January 2014): 774–95. http://dx.doi.org/10.1016/j.na.2013.10.014.

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23

ROWLEY, CLARENCE W., IGOR MEZIĆ, SHERVIN BAGHERI, PHILIPP SCHLATTER, and DAN S. HENNINGSON. "Spectral analysis of nonlinear flows." Journal of Fluid Mechanics 641 (November 18, 2009): 115–27. http://dx.doi.org/10.1017/s0022112009992059.

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We present a technique for describing the global behaviour of complex nonlinear flows by decomposing the flow into modes determined from spectral analysis of the Koopman operator, an infinite-dimensional linear operator associated with the full nonlinear system. These modes, referred to as Koopman modes, are associated with a particular observable, and may be determined directly from data (either numerical or experimental) using a variant of a standard Arnoldi method. They have an associated temporal frequency and growth rate and may be viewed as a nonlinear generalization of global eigenmodes of a linearized system. They provide an alternative to proper orthogonal decomposition, and in the case of periodic data the Koopman modes reduce to a discrete temporal Fourier transform. The Arnoldi method used for computations is identical to the dynamic mode decomposition recently proposed by Schmid & Sesterhenn (Sixty-First Annual Meeting of the APS Division of Fluid Dynamics, 2008), so dynamic mode decomposition can be thought of as an algorithm for finding Koopman modes. We illustrate the method on an example of a jet in crossflow, and show that the method captures the dominant frequencies and elucidates the associated spatial structures.

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24

Petrov, Lev F. "Nonlinear effects in economic dynamic models." Nonlinear Analysis: Theory, Methods & Applications 71, no. 12 (December 2009): e2366-e2371. http://dx.doi.org/10.1016/j.na.2009.05.066.

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25

Hoyos Velasco, Carlos Ildefonso, Fredy Edimer Hoyos Velasco, and Julian M. Londoño Monsalve. "Nonlinear Dynamics Analysis of a Dissipation System with Time Delay." International Journal of Bifurcation and Chaos 28, no. 06 (June 15, 2018): 1830018. http://dx.doi.org/10.1142/s0218127418300185.

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This work is concerned with the bifurcational analysis of nonlinear dissipative systems affected by time delay. This issue typically arises when testing highly nonlinear energy dissipation devices, commonly used in vibration control of civil structures, and carried out experimentally via a hybrid technique known as Real-Time Dynamic Substructuring (RTDS) simulation. Unfortunately, the RTDS simulation is affected by time delay in the control feedback loop due to the actuator response, sensor reading and numerical processing. In essence, this paper focuses on studying the nonlinear dynamics induced by the interaction of a dynamical system with the nonlinear damper affected by the presence of time delay. Given the complexity of the system, numerical analysis is carried out in the context of bifurcational behavior, and bifurcation diagrams are computed using a continuation method. The bifurcational analysis presented here, provides a characterization of delay-induced nonlinear phenomena created by the interaction of the dynamical system with a delayed nonlinear response of the dissipation device. Nonlinear dynamics are also identified and characterized for different damper types when varying the damper model parameters, leading to the identification of system conditions at which the testing arrangement and test specimens can exhibit undesired dynamics.

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26

Barbieri, Nilson, Marlon Elias Marchi, Marcos José Mannala, Renato Barbieri, Lucas de Sant’Anna Vitor Barbieri, and Gabriel de Sant’Anna Vitor Barbieri. "Nonlinear dynamic analysis of a Stockbridge damper." Canadian Journal of Civil Engineering 46, no. 9 (September 2019): 828–35. http://dx.doi.org/10.1139/cjce-2018-0502.

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The purpose of this work is to validate a nonlinear mathematical model (finite element method) for dynamic simulation of Stockbridge dampers of electric transmission line cables. To obtain the mathematical model, a nonlinear cantilever beam with a tip mass was used. The mathematical model incorporates a nonlinear stiffness matrix of the element due to the nonlinear curvature effect of the beam. To validate the mathematical model, the numerical results were compared with experimental data obtained on a machine adapted from cam test. Five different circular cam profiles with eccentricities of 0.25, 0.5, 0.75, 1.25, and 1.5 mm were used. Vibration data were collected through three accelerometers arranged along the sample. A good concordance was found between the numerical and experimental data. The same behavior was observed in tests of another Stockbridge damper excited by a shaker. The nonlinear behavior of the system was evidenced.

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27

Kashani, H., and A. S. Nobari. "Structural Nonlinearity Identification Using Perturbed Eigen Problem and ITD Modal Analysis Method." Applied Mechanics and Materials 232 (November 2012): 949–54. http://dx.doi.org/10.4028/www.scientific.net/amm.232.949.

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Identification of nonlinear behavior in structural dynamics has been considered here, in this paper. Time domain output data of system are directly used to identify system through Ibrahim Time Domain (ITD) modal analysis method and perturbed eigen problem. Cubic stiffness and Jenkins element, as case studies, are employed to qualify the identification method. Results are compared with Harmonic Balance (HB) estimation of nonlinear dynamic stiffness. Results of ITD based identification are in good agreement with the HB estimation, for stiffness parts of nonlinear dynamic stiffness but for damping parts of nonlinear dynamic stiffness, method needs some additional improvements which are under investigation.

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28

Guo, Xiangying, Dameng Liu, Wei Zhang, Lin Sun, and Shuping Chen. "Nonlinear Dynamic Analysis of Macrofiber Composites Laminated Shells." Advances in Materials Science and Engineering 2017 (2017): 1–17. http://dx.doi.org/10.1155/2017/4073591.

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This work presents the nonlinear dynamical analysis of a multilayer d31 piezoelectric macrofiber composite (MFC) laminated shell. The effects of transverse excitations and piezoelectric properties on the dynamic stability of the structure are studied. Firstly, the nonlinear dynamic models of the MFC laminated shell are established. Based on known selected geometrical and material properties of its constituents, the electric field of MFC is presented. The vibration mode-shape functions are obtained according to the boundary conditions, and then the Galerkin method is employed to transform partial differential equations into two nonlinear ordinary differential equations. Next, the effects of the transverse excitations on the nonlinear vibration of MFC laminated shells are analyzed in numerical simulation and moderating effects of piezoelectric coefficients on the stability of the system are also presented here. Bifurcation diagram, two-dimensional and three-dimensional phase portraits, waveforms phases, and Poincare diagrams are shown to find different kinds of periodic and chaotic motions of MFC shells. The results indicate that piezoelectric parameters have strong effects on the vibration control of the MFC laminated shell.

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29

Xiang, Ling, and Lan Lan Hou. "Nonlinear Dynamic Analysis of Rub-Impact Rotor System under Different Parameters." Advanced Materials Research 712-715 (June 2013): 1355–58. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.1355.

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Nonlinear dynamic-behavior analysis of rotor system under different parameters is presented. The derivation of nonlinear dynamic equations under the action of rub-impact force is set up basing on Jeffcott model, and the system bifurcation characteristics and influences has been investigated under the ratio of operating angular velocity and the rotor’ natural angular velocity influence by numerical analysis. Bifurcation and dynamical behaviors of nonlinear of system with the changes of argument (that is the ratio of operating angular velocity and the rotor’ natural angular velocity) under several specific parameters are analyzed. The results show that the ratio, rotor eccentricity and rotor stiffness have great effect on the dynamical behaviors of nonlinear system.

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30

Mannan, Zubaer I., Changju Yang, Shyam P. Adhikari, and Hyongsuk Kim. "Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor." Complexity 2018 (November 1, 2018): 1–21. http://dx.doi.org/10.1155/2018/8405978.

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A novel generic memristor, dubbed the 6-lobe Chua corsage memristor, is proposed with its nonlinear dynamical analysis and physical realization. The proposed corsage memristor contains four asymptotically stable equilibrium points on its complex and diversified dynamic routes which reveals a 4-state nonlinear memory device. The higher degree of versatility of its dynamic routes reveal that the proposed memristor has a variety of dynamic paths in response to different initial conditions and exhibits a highly nonlinear contiguous DC V-I curve. The DC V-I curve of the proposed memristor is endowed with an explicit analytical parametric representation. Moreover, the derived three formulas, exponential trajectories of state xnt, time period tfn, and minimum pulse amplitude VA, are required to analyze the movement of the state trajectories on the piecewise linear (PWL) dynamic route map (DRM) of the corsage memristor. These formulas are universal, that is, applicable to any PWL DRM curves for any DC or pulse input and with any number of segments. Nonlinear dynamics and circuit and system theoretic approach are employed to explain the asymptotic quad-stable behavior of the proposed corsage memristor and to design a novel real memristor emulator using off-the-shelf circuit components.

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31

Chen, Xiulong, Shuai Jiang, Yu Deng, and Qing Wang. "Nonlinear Dynamics and Analysis of a Planar Multilink Complex Mechanism with Clearance." Shock and Vibration 2018 (October 8, 2018): 1–17. http://dx.doi.org/10.1155/2018/6172676.

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In order to understand the nonlinear dynamic behavior of a planar mechanism with clearance, the nonlinear dynamic model of the 2-DOF nine-bar mechanism with a revolute clearance is proposed; the dynamic response, phase diagrams, Poincaré portraits, and largest Lyapunov exponents (LLEs) of mechanism are investigated. The nonlinear dynamic model of 2-DOF nine-bar mechanism containing a revolute clearance is established by using the Lagrange equation. Dynamic response of the slider’s kinematics characteristic, contact force, driving torque, shaft center trajectory, and the penetration depth for 2-DOF nine-bar mechanism are all analyzed. Chaos phenomenon existed in the mechanism has been identified by using the phase diagrams, the Poincaré portraits, and LLEs. The effects of the different clearance sizes, different friction coefficients, and different driving speeds on dynamic behavior are studied. Bifurcation diagrams with changing clearance value, friction coefficient, and driving speed are drawn. The research could provide important technical support and theoretical basis for the further study of the nonlinear dynamics of planar mechanism.

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32

Borges, R. A., A. M. G. de Lima, and V. Steffen Jr. "Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis." Shock and Vibration 17, no. 4-5 (2010): 507–20. http://dx.doi.org/10.1155/2010/587502.

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Dynamic vibration absorbers are discrete devices developed in the beginning of the last century used to attenuate the vibrations of different engineering structures. They have been used in several engineering applications, such as ships, power lines, aeronautic structures, civil engineering constructions subjected to seismic induced excitations, compressor systems, etc. However, in the context of nonlinear dynamics, few works have been proposed regarding the robust optimal design of nonlinear dynamic vibration absorbers. In this paper, a robust optimization strategy combined with sensitivity analysis of systems incorporating nonlinear dynamic vibration absorbers is proposed. Although sensitivity analysis is a well known numerical technique, the main contribution intended for this study is its extension to nonlinear systems. Due to the numerical procedure used to solve the nonlinear equations, the sensitivities addressed herein are computed from the first-order finite-difference approximations. With the aim of increasing the efficiency of the nonlinear dynamic absorber into a frequency band of interest, and to augment the robustness of the optimal design, a robust optimization strategy combined with the previous sensitivities is addressed. After presenting the underlying theoretical foundations, the proposed robust design methodology is performed for a two degree-of-freedom system incorporating a nonlinear dynamic vibration absorber. Based on the obtained results, the usefulness of the proposed methodology is highlighted.

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33

Dai, H. L., X. Yan, and L. Yang. "Nonlinear Dynamic Analysis for FGM Circular Plates." Journal of Mechanics 29, no. 2 (December 19, 2012): 287–96. http://dx.doi.org/10.1017/jmech.2012.139.

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AbstractIn the paper, nonlinear dynamic analysis of a circular plate composed of functionally graded material (FGM) is presented. Considering a transverse shear deformation and geometric nonlinearity, the von Karman geometric relation of the FGM circular plate is established. Based on the theory of the first-order shear deformation, a new set of equilibrium equations is developed by the principle of minimum total energy. Applying the finite difference method and Newmark scheme, the nonlinear transient problem is solved by the iterative method. To validate the presented method, the transient problem of the FGM circular plate is compared with those of the existed literature, and good agreement is observed. The effects of the volume fraction index, boundary conditions, mechanical load and the ratio of thickness to radius on the nonlinear transient problem of the FGM circular plate are investigated.

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34

Gristchak, V. Z. "Asymptotic Analysis for Nonlinear Dynamic Problem of Functionally-Graded Shallow Shells with Time Dependent Thickness." International Journal Of Mechanical Engineering And Information Technology 05, no. 05 (May 28, 2017): 1605–11. http://dx.doi.org/10.18535/ijmeit/v5i5.04.

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35

Rezaiee-Pajand, M., and S. R. Sarafrazi. "Nonlinear dynamic structural analysis using dynamic relaxation with zero damping." Computers & Structures 89, no. 13-14 (July 2011): 1274–85. http://dx.doi.org/10.1016/j.compstruc.2011.04.005.

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36

Lee, Kyu-Ho, Won-Young Jung, and Jin-Tai Chung. "Nonlinear Dynamic Analysis of a Tethered Satellite." Transactions of the Korean Society for Noise and Vibration Engineering 21, no. 5 (May 20, 2011): 416–21. http://dx.doi.org/10.5050/ksnve.2011.21.5.416.

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37

Lee, Usik, Jae Sang Lee, and Chang Boo Kim. "Spectral Analysis Method for Nonlinear Dynamic Systems." Key Engineering Materials 345-346 (August 2007): 861–64. http://dx.doi.org/10.4028/www.scientific.net/kem.345-346.861.

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38

Singhal, Avinash C., and Milton S. Zuroff. "Dynamic analysis of dams with nonlinear slipjoints." Soil Dynamics and Earthquake Engineering 17, no. 3 (January 1998): 185–96. http://dx.doi.org/10.1016/s0267-7261(97)00038-9.

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39

Rao, A. Rama Mohan, K. Loganathan, and N. V. Raman. "Nonlinear Transient Dynamic Analysis on Parallel Processors." Computer-Aided Civil and Infrastructure Engineering 10, no. 6 (November 1995): 443–54. http://dx.doi.org/10.1111/j.1467-8667.1995.tb00304.x.

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40

Yao, Jun, Jin Qiu Zhang, Ming Mei Zhao, and Zi Jian Wei. "Analysis of dynamic stability of nonlinear suspension." Advances in Mechanical Engineering 10, no. 3 (March 2018): 168781401876664. http://dx.doi.org/10.1177/1687814018766648.

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41

Yang, Ren‐Jye, and M. Asghar Bhatti. "Nonlinear Static and Dynamic Analysis of Plates." Journal of Engineering Mechanics 111, no. 2 (January 1985): 175–87. http://dx.doi.org/10.1061/(asce)0733-9399(1985)111:2(175).

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42

Fenves, Gregory, and Luis M. Vargas‐Loli. "Nonlinear Dynamic Analysis of Fluid‐Structure Systems." Journal of Engineering Mechanics 114, no. 2 (February 1988): 219–40. http://dx.doi.org/10.1061/(asce)0733-9399(1988)114:2(219).

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43

Sprock, Christian, and Walter Sextro. "Time-efficient analysis of nonlinear dynamic behavior." PAMM 14, no. 1 (December 2014): 293–94. http://dx.doi.org/10.1002/pamm.201410134.

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44

Mehndiratta, S., V. A. Sawant, and N. K. Samadhiya. "Nonlinear dynamic analysis of laterally loaded pile." Structural Engineering and Mechanics 49, no. 4 (February 25, 2014): 479–89. http://dx.doi.org/10.12989/sem.2014.49.4.479.

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45

El Naggar, M. H., and M. Novak. "Nonlinear analysis for dynamic lateral pile response." Soil Dynamics and Earthquake Engineering 15, no. 4 (June 1996): 233–44. http://dx.doi.org/10.1016/0267-7261(95)00049-6.

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46

Dong, S. "BDF-like methods for nonlinear dynamic analysis." Journal of Computational Physics 229, no. 8 (April 2010): 3019–45. http://dx.doi.org/10.1016/j.jcp.2009.12.028.

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47

Kim, Seung-Eock, and Huu-Tai Thai. "Nonlinear inelastic dynamic analysis of suspension bridges." Engineering Structures 32, no. 12 (December 2010): 3845–56. http://dx.doi.org/10.1016/j.engstruct.2010.08.027.

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48

Takada, Tsuyoshi, and Masanobu Shinozuka. "Reliability analysis of nonlinear MDOF dynamic systems." Nuclear Engineering and Design 128, no. 2 (July 1991): 167–73. http://dx.doi.org/10.1016/0029-5493(91)90098-3.

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49

Gültekin Sınır, B. "Pseudo-nonlinear dynamic analysis of buckled pipes." Journal of Fluids and Structures 37 (February 2013): 151–70. http://dx.doi.org/10.1016/j.jfluidstructs.2012.12.001.

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50

Vasseva, Elena. "Nonlinear dynamic analysis of reinforced concrete frames." Natural Hazards 7, no. 3 (May 1993): 279–90. http://dx.doi.org/10.1007/bf00662651.

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