Abstract

Info

Title:: Precise Integration Method for Bridge Subjected to Moving Vehicle Load

Author(s):: ]GUI Shui-rong; WAN Shui; CHEN Shui-sheng; School of Transportation, Southeast University

Keywords:: vehicle-bridge coupling vibration; moving spring mass; numerical iterative scheme; precise integration method; modal superposition method

Abstract:: According to the superiority of the modal superposition method, a new numerical algorithm based on precise integration method (PIM)was proposed to solve the problem of vehicle-bridge coupling vibration. The load decomposition coordination in an integration step was considered, and moving vehicle load was equivalent to element point through interpolating function, then Cotes integral format was introduced to solve Duhamel nonhomogeneous load. Taking a moving constant force on simply supported beam as an example, the veracity of Cotes integral format was verified through comparing the analytical solution with several numerical integral results. Taking a moving spring mass vehicle model on simply supported beam as an example, the effects of integral time step and computing time on computing results using Rung-Kutta method, Newmark-β method and PIM were analyzed. The results show that the PIM lies in unlimited by integral step length, and has superiority of quick convergence in solving the problem of vehicle-bridge coupling vibration.