Comparison of methods for solving vibration response of Plate Girder Bridge

Abstract

把板梁桥等效为正交异性板,车辆等效为在正交异性板上移动的1组荷载。根据Halmiton’s原理和模态叠加原理,得到系统状态方程。用3种方法求解状态方程得到板梁桥的振动响应,并与卷积积分方法得到的结果进行比较,相对误差都小于8%,表明3种方法计算板梁桥的响应是有效且省时的。 In this paper, the plate girder bridge is modeled as an orthotropic plate, and the vehicle is modeled as a group of loads moving on the orthotropic plate. Based on the Halmiton’s theory and modal superposition principle, the state\|space equation of the system is obtained. Three methods are used to solve the equation to obtain the vibration response of the plate girder bridge. The results obtained are then compared with the exact response calculated by the convolution integration method, and the relative error of displacements and strains are all less than 8%, which verifies that the three methods for solving the vibration response of the bridge are effective and time-saving.