Research on Simplified Calculation Method of Coupled Vibration of Vehicle‐Bridge System

Abstract

A modified moving loads’ model is proposed for the vehicle-bridge coupling vibration simulation. Taking the vehicle-bridge interaction model (VBI) as the reference, the accuracy and applicability of the three calculation models, namely, moving loads’ model, moving mass model, and spring-damper-mass model, are compared using the frequently-used railway simply-supported beam with a span of 32 meters as the research object. Influencing factors such as vehicle speed, mass ratio of vehicle and beam, and primary spring stiffness on the dynamic response of the vehicle-bridge system are discussed in detail. The results show that the moving load model has the best performance on the stability of the deviation rate, but its calculation results are smaller than the other two methods as well as the VBI. The values of the deviation rate for the moving mass model and the spring-damper-mass model are large, and the stability of those are insufficient in the range of 80%∼120% of the first resonance velocity. Except for that, the results of the two models are in good agreement with the VBI model. According to above analysis, a modified moving loads’ model with two amplification coefficients, namely, 1.10 for the range of 90%∼105% of the first resonance velocity and 1.05 for other velocities, are proposed, which has higher calculation efficiency and accuracy.

Container Quay Crane Structural Response under Trolley Traveling

“…Based on the plate and shell theory, Prakash and Barik [4] analyzed the dynamic response of the bridge deck when the vehicle moved at a constant velocity and obtained the center de ection of the bridge deck before and after the reinforcement with sti ening and found that the I-shaped reinforcement contributed more to the strength of the bridge deck (Cheng et al [5]).…”