Abstract

The vertical free vibration equation of the suspension bridge is a coupled equation composed of a differential equation and an integral equation. Only approximate numerical approaches are presented in previous studies. The analytical expression of structural free vibration is deduced directly in this paper. On this basis, the transfer matrix of the vertical free vibration of suspension bridge analysis is obtained. With this method, the vertical free vibration of both uniform cross-section and non-uniform cross-section suspension bridge is studied. Research results demonstrate that the transfer matrix method analyzes the vertical free vibration of suspension bridge efficiently, and has specific advantages in dealing with the problem about non-uniform cross-section. The research plays an indispensable role in the dynamic analysis of suspension bridges especially in the plan design.

Abstract