悬索桥的非线性自由振动方程

Nonlinear Free Vibration Equations of Suspension Bridges

本文给出了悬索桥横向—竖向—扭转耦合非线性自由振动的一般微—积分方程,通过引入无量纲量,得到了无量纲化方程,通过用线性问题主模态来表示解的表达式,得到N—耦合的二阶非线性常微—积分方程的三个方程组。

This paper presents the general differential-integral epuations of nonlinear free coupled lateral-vertical-torsional vibrations of suspension bridges. By introducing dimensionless variables, non-dimensionalized equations are obtained, and by the expans- ion of the linearized problems, three coupled systems of N-coupled second-order nonlinear ordinary differential-integral equations are deduced.