Dynamic analysis of high-speed train moving on perforated Timoshenko and Euler-Bernoulli beams

Abstract

This study investigates the numerical simulation of the interaction between a high-speed train and perforated beams. The perforated bridge beam is modeled according to Timoshenko and Euler-Bernoulli beam theories with a uniform cross-section area. The high-speed dynamic model has been considered a 10-DOF multibody system. The equation of motion perforated bridge beam and high-speed train is obtained by Hamilton's principle. Then, some parameters of the perforated beam, such as different aspect ratios, the filling ratio, and the number of holes along the cross-section area, have been investigated. The frequency variation of the Timoshenko perforated beam has been evaluated according to the nondimensional parameter presented in the study, considering different filling and aspect ratios properties. Then, the mass comparison of the perforated beam with a fully solid beam has been conducted as a dynamical and statical comparison. With this method, the dynamic responses of perforated beams will be examined for the first time compared to the fully solid bridges used in previous studies in the literature. Per length mass of the perforated beam is less than the fully solid beam by the ratios of %41.51 and %30.07 in terms of dynamic and static behavior. Consequently, it has been observed that the perforated beam affects both bridge dynamic and high-speed train's dynamic.