斜拉桥索-面-塔三自由度非线性振动模型及其1:2:1内共振分析
张妍，王怀磊，杨杰
摘要:研究斜拉桥拉索-桥面-桥塔的三自由度耦合振动模型及其1:2:1内共振问题.将拉索简化为两端有弦连接的质量块,将桥面和桥塔分别视作只有竖向振动和只有横向振动的弹簧质量块系统,建立了桥塔-拉索-桥面三自由度耦合非线性振动模型.利用多尺度方法得到了系统发生1:2:1内共振的条件.对系统的内共振进行了数值模拟,结果表明索-面-塔在初始扰动下会发生1:2:1内共振,能量会在系统各部分之间发生有规律的传递和交换.
关键词：斜拉桥；索-面-塔；非线性振动；多尺度法；内共振
Dynamics of a three degrees of freedom nonlinear vibration model of cables and bridge decks and towers with the frequency 1 ： 2 ： 1 internal resonance
Yan Zhang, Huailei Wang, Jie Yang
Abstract：A nonlinear coupled yibration model of cables and bridge decks and towers and its 1： 2： 1 resonance was investigated. The cable was simplified as a concentrated mass jointed by two weightless strings. The deck and the tower were both simplified as a concentrated mass that can only move vertically and horizontally, respectively. By these simplifications, a nonlinear vibration system of three degrees of freedom was established. With the application of the method of multiple scales, the condition of occurrence of the internal resonance was obtained. The validity of the analysis was verified by numerical simulation. The results show that the 1 ： 2： 1 internal resonance will arise under some initial condition and then the vibration energy will be transformed and exchanged among the cables, the decks, and the towers regularly.
Keyword：cable-stayed bridge; cable-deck-tower; nonlinear vibration; method of multiple scales; internal resonance
原文链接：http://lib.cqvip.com/Qikan/Article/Detail?id=32853954
