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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1007/s12445-010-0070-z

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1573-269X

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Nonlinear dynamic analysis of a parametrically exc

Authors: Shihua Zhou Guiqiu Song Zhaohui Ren Bangchun Wen
Publish Date: 2017/02/11
Volume: 88, Issue: 3, Pages: 2139-2159
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Abstract

In this paper a nonlinear supported Euler–Bernoulli beam under harmonic excitation coupled to a 2 degree of freedom vehicle model with cubic nonlinear stiffness and damping is investigated The equations of motion are derived by Newton’s law and discretized into a set of coupled secondorder nonlinear differential equations via Galerkin’s method with cubic nonlinear terms Based on the created model numerical simulations have been conducted using the Runge–Kutta integration method to perform a parametric study on influences of the nonlinear support stiffness coefficient mass ratio excitation amplitude and position relation for the vehicle–bridge interaction VBI system by using bifurcation diagram and 3D frequency spectrum The results indicate that depending on different parameters a diverse range of periodic motion quasiperiodic response chaotic behavior and jump discontinuous phenomenon are observed And the chaotic regions are scattered between a number of periodic/quasiperiodic motions The study may contribute to a further understanding of the dynamic characteristics and present useful information to dynamic design and vibration control for the VBI systemCollaborative Innovation Center of Major Machine Manufacturing in Liaoning National Support Program the key common technology research and demonstration of paving equipment for subgrade in alpine No 2015BAF07B07 The authors gratefully acknowledge the financial support provided by Natural Science Foundation of China No 51475084

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