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- Title
Nonlinear dynamic analysis of a parametrically excited vehicle-bridge interaction system.
- Authors
Zhou, Shihua; Song, Guiqiu; Ren, Zhaohui; Wen, Bangchun
- 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 second-order 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 3-D frequency spectrum. The results indicate that depending on different parameters, a diverse range of periodic motion, quasi-periodic response, chaotic behavior and jump discontinuous phenomenon are observed. And the chaotic regions are scattered between a number of periodic/quasi-periodic 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 system.
- Subjects
NONLINEAR dynamical systems; FREQUENCY spectra; NONLINEAR differential equations; BIFURCATION diagrams; DEGREES of freedom; EULER-Bernoulli beam theory
- Publication
Nonlinear Dynamics, 2017, Vol 88, Issue 3, p2139
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-017-3368-6