NONLINEAR VIBRATION OF THE COUPLED STRUCTURE OF SUSPENDED-CABLE-STAYED BEAM-1:2 INTERNAL RESONANCE  

作　　者：Kun Huang Qi Feng Yajun Yin 

机构地区：[1]School of Aerospace Engineering and Applied Mechanics, Tongji University [2]Department of Engineering Mechanics, School of Aerospace, Tsinghua University

出　　处：《Acta Mechanica Solida Sinica》2014年第5期467-476,共10页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.10672121 and 11072125)

摘　　要：Through the Galerkin method the nonlinear ordinary differential equations （ODEs） in time are obtained from the nonlinear partial differential equations （PDEs） to describe the mo- tion of the coupled structure of a suspended-cable-stayed beam. In the PDEs, the curvature of main cables and the deformation of cable stays are taken into account. The dynamics of the struc- ture is investigated based on the ODEs when the structure is subjected to a harmonic excitation in the presence of both high-frequency principle resonance and 1：2 internal resonance. It is found that there are typical jumps and saturation phenomena of the vibration amplitude in the struc- ture. And the structure may present quasi-periodic vibration or chaos, if the stiffness of the cable stays membrane and frequency of external excitation are disturbed.Through the Galerkin method the nonlinear ordinary differential equations （ODEs） in time are obtained from the nonlinear partial differential equations （PDEs） to describe the mo- tion of the coupled structure of a suspended-cable-stayed beam. In the PDEs, the curvature of main cables and the deformation of cable stays are taken into account. The dynamics of the struc- ture is investigated based on the ODEs when the structure is subjected to a harmonic excitation in the presence of both high-frequency principle resonance and 1：2 internal resonance. It is found that there are typical jumps and saturation phenomena of the vibration amplitude in the struc- ture. And the structure may present quasi-periodic vibration or chaos, if the stiffness of the cable stays membrane and frequency of external excitation are disturbed.

关 键 词：the coupled structure of suspended-cable-stayed beam the multiscale method 1：2internal resonance Hopf bifurcation CHAOS 

分 类 号：O322[理学—一般力学与力学基础] TU311.3[理学—力学]