Chaotic Threshold for Axial Loaded Beam Bridge under Moving Loads

被引:0
作者
Yang, Shizhu [1 ]
Yang, Xinwei [1 ]
机构
[1] Shijiazhuang Inst Railway Technol, Sch Traff, Shijiazhuang 050041, Peoples R China
来源
MODERN TENDENCIES IN ENGINEERING SCIENCES | 2014年 / 533卷
关键词
Mid-span deflection; beam bridge; nonlinear; an infinite series of moving loads; chaos; OSCILLATOR;
D O I
10.4028/www.scientific.net/AMM.533.140
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We studied chaotic threshold of a nonlinear dynamical system of beam bridge. The amplification and minification of integral inequality are proposed, which lead to the criteria for chaotic motion directly for the nonlinear system with a half sine pulse excitation avoiding the conventional approximation methods to retain the nature characteristics of the system. The efficiency of the criteria for chaotic motion obtained by use of the Melnikov's method is verified via the bifurcation diagrams, Lyapunov exponents and numerical simulations.
引用
收藏
页码:140 / +
页数:2
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Hao, Y. X. ;
Yang, L. ;
Liu, L. T. .
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[32]   Nonlinear dynamics of a viscoelastic beam traveling with pulsating speed, variable axial tension under two-frequency parametric excitations and internal resonance [J].
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Nonlinear Dynamics, 2020, 99 :945-979
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[35]   A New Incremental Harmonic Balance Method With Two Time Scales for Quasi-Periodic Motions of an Axially Moving Beam With Internal Resonance Under Single-Tone External Excitation [J].
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Zhu, W. D. .
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