支座运动激励下索-梁结构非线性振动分析

利用达朗贝尔原理,建立了支座运动下索-梁结构的面内面外耦合运动偏微分方程,根据拉索一端对悬臂梁自由端的连接简化引入自然边界条件,选取斜拉索、梁的低阶模态,利用Galerkin法得到索-梁结构的常微分运动方程。仿真分析表明,在支座运动激励下,索-梁结构中的拉索会产生面内面外耦合的参数振动,而梁则仅在面内进行振动。

Nonlinear Oscillations Analysis of the Cable-stayed Beam under Support Campaign Excitations

This paper was devoted to the non-linear partial differential equations describing in-plane and out-of-plane motion of cable-stayed beam structure through the d＇Alembert＇s principle.Taking the interaction between cable and beam at the tied tip as the natural boundary condition,Electing the low-lying modes of cables and beam,The Galerkin＇s method was adopted to obtain ordinary differential equations of the coupling motion in cable-stayed beam.Numerical analysis shows that the cables can bring in-plane and out-of-plane parametric oscillation of cable-stayed beam structure under the influence of support movement,and the beam can only bring in-plane parametric oscillation.