摘要
考虑支撑构件对斜拉索参数振动的影响,从整体振动角度研究斜拉索的非线性参数振动特性,提出一个耦合索支撑结构模型.该模型既考虑了斜拉索的几何非线性,也考虑了支撑构件的运动对斜拉索振动的影响.应用多尺度法对该模型进行摄动分析,得到该模型参数振动时的激励频率及稳定区域边界,讨论模型质量比、刚度比和倾角等参数对幅频响应及稳定性的影响.研究表明,索的非线性参数振动特性并不随质量比和刚度比单调递增,而是存在某一临界值,使索的非线性参数振动特性最大化;随着倾斜角度的增加,索的非线性参数振动特性是单调递增.
Considering the effects of cable-supported structures on cable parametric vibration,this paper presents an analysis of nonlinear parametric vibration and the chaotic dynamics of a cable using a coupled cable-beam model in which both the coupled behavior between the beam and the cable and the geometric nonlinearities of the cable are taken into account. By applying the multiple scale method to the model directly,we obtain the frequency response of cables and stability conditions. The effects of the mass ratio,stiffness ratio,and the inclined angle of the coupled model are then evaluated. The results show that the property of nonlinear parametric vibration of cables is not increasing monotonously with the mass and stiffness ratios. There is a critical value that maximizes the property of nonlinear parametric vibration of cables,and the property of nonlinear parametric vibration of cables increases monotonously with the inclined angle.
出处
《深圳大学学报（理工版）》
EI
CAS
CSCD
北大核心
2015年第3期231-238,共8页
Journal of Shenzhen University(Science and Engineering)
基金
国家自然科学基金资助项目(51078119)
国家山区公路工程技术研究中心开放基金资助项目(gsgzj-2013-03)
桥梁结构抗震技术交通行业重点实验室开发基金资助项目(201301)~~
关键词
结构力学
索支撑结构
斜拉索
耦合模型
幅频响应
参数振动
非线性振动
structural mechanics
cable-supported structures
cable
coupled model
frequency response
parametric vibration
nonlinear vibration
