Non-linear dynamics of cable-stayed beams

被引：2
|
作者：
Zhu J. [1 ]
Ye G.-R. [1 ]
Xiang Y.-Q. [1 ]
Chen W.-Q. [2 ]
机构：
[1] Department of Civil Engineering, Zhejiang University
[2] Department of Engineering Mechanics, Zhejiang University
来源：
Zhejiang Daxue Xuebao (Gongxue Ban)/Journal of Zhejiang University (Engineering Science) | 2010年 / 44卷 / 12期
关键词：
Cable-stayed beam; Eigenmode; Homotopy analysis method; Method of reverberation-ray matrix; Non-linear dynamics;
D O I：
10.3785/j.issn.1008-973X.2010.12.015
中图分类号：
学科分类号：
摘要：
The governing equations for the in-plane motion of a cable-stayed beam were obtained based on a continuum model. The linear eigenmodes were obtained via the method of reverberation-ray matrix after a standard condensation procedure, and the interaction between cable and beam was investigated. On basis of solution for the linear eignproblem, a single-degree-of-freedom non-linear model was then derived by the single-mode discretization. Though the variable transformation the homotopy analysis method was successfully applied to find the steady-state solution of the structure subjected to harmonic force, then the frequency-amplitude relations near primary resonance frequency were obtained to characterize the influence of various parameters on the non-linear dynamic behaviour of the system. The result show that the homotopy analysis method is more powerful the traditional perturbation method in strong non-linear problems.
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页码：2326 / 2331+2341
相关论文
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