摘要
基于Hamilton原理,建立了斜拉索由桥面侧振引起的非线性振动方程,并运用多尺度法求得该方程的近似解析解。结合具体的工程实例,讨论了激励幅值、激励频率、阻尼等参数对拉索振动响应的影响,并与数值方法解进行了对比。研究结果表明,桥面侧振会引起拉索的大幅振动,拉索振动表现出多值性、跳跃等非线性特性。
A theoretical model is derived which describes the non-linear response of a stay cable to the lateral oscillation of bridge deck. The motion equations of stay cables, which are established based on Hamilton＇s principle, are solved approximately using the multiple scale method. In the analysis of a real stay cable, the effects of excitation amplitude, frequency and damping etc are discussed. The results are also compared with those obtained through numerical simulation. It is shown that large amplitude vibration of the cable may be caused by lateral oscillation of the deck, and the non-linear characteristics of the cable＇s vibration, such as multi-value, jumping etc are obvious.
出处
《工程力学》
EI
CSCD
北大核心
2007年第6期86-90,共5页
Engineering Mechanics
关键词
斜拉索
桥面
非线性
振动
耦合
多尺度法
stayed-cable
bridge deck
non-linear
vibration
coupling
multiple scale method
