摘要
研究了悬索在超谐波共振和1:3内共振共同作用下的两模态响应.首先利用Galerkin方法对悬索的面内运动方程进行离散,得到无穷维离散模型.并利用多尺度法推导出悬索同时发生超谐波共振和1:3内共振时的平均方程以及近似响应.最后研究了平均方程的稳态解以及垂跨比对幅频曲线、水平张力以及时间历程的影响.
The two -mode nonlinear response of suspended cables subjected to superhamonic resonances with one-to-three internal resonances was investigated. Firstly,the Galerkin method was used to discrete the governing equation to a discrete form of the equations of motion. And the method of multiple scales was applied to attack the equations of motion leading to averaging equations. At last the equilibrium solutions of averaging equation were examined. Also the effects of the sag-to-span ratios on the frequency-response curves, horizontal tensions and the time history were discussed.
出处
《动力学与控制学报》
2007年第2期112-117,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10502020)~~
关键词
悬索
多尺度法
内共振
超谐波共振
suspended cable, multiple scales method, internal resonances, superharmonic resonances
