完全参数激励下索梁耦合系统非线性动力学分析

研究完全参数激励下弹性拉索与悬臂梁耦合结构的非线性动力学问题。建立索梁耦合结构力学模型，利用Hamilton 原理建立索－梁耦合系统的非线性动力学方程，利用Galerkin方法将索－梁耦合系统的非线性运动偏微分方程离散为一组常微分方程。利用多尺度法分析研究索－梁耦合动力学系统的非线性振动，用Runge-Kutta法对数学模型进行数值计算，得到当梁与索的频率比为2:1时，系统发生严重的参数共振，同时探讨阻尼参数对索－梁耦合系统非线性动力学的影响，并提出对工程有实际意义的结论。

Nonlinear Dynamic Analysis for the Coupled Structure of Cable-stayed Beam Subject to Fully Parametric Excitation

The nonlinear dynamic analysis for the coupled structure of cable-stayed beam subject to fully parametric excitation is provided.The mechanical model of cable-stayed beam is established.The non-linear partial differential equations are derived for a coupled structure of cable-stayed beam subject to fully parametric excitation by using Hamilton principle.The Galerkin method is adopted to obtain ordinary differential equations of the coupling motion in stayed system.The non-linear vibration of coupled structu...