Coupling Vibration of Simply-Supported Damping Beam Carrying a Moving Mass  

作　　者：Jingjing Hu Weipeng Hu Chuan Xiao Zichen Deng 

机构地区：[1]School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi’an,710072,China [2]School of Civil Engineering and Architecture,Xi’an University of Technology,Xi’an,710048,China [3]State Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China,Xi’an University of Technology,Xi’an,710048,China [4]China Research and Development Academy of Machinery Equipment,Beijing,100089,China

出　　处：《Acta Mechanica Solida Sinica》2022年第6期972-978,共7页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (12172281,11872303 and 11972284);Fund for Distinguished Young Scholars of Shaanxi Province (2019JC-29);Foundation Strengthening Programme Technical Area Fund (2021-JCJQ-JJ-0565);the Fund of the Science and Technology Innovation Team of Shaanxi (2022TD-61);the Fund of the Youth Innovation Team of Shaanxi Universities (21JP079).

摘　　要：The coupling dynamic problems,such as the vehicle-bridge interaction problem,are difficult to be analyzed.In this paper,the generalized multi-symplectic approach is employed to investigate the coupling dynamic behaviors in the vehicle-bridge interaction system.A simply-supported damping beam model carrying a moving mass is considered and the generalized multi-symplectic form with the dynamical symmetry breaking factors is deduced firstly.And then,Preissmann’s scheme is employed to discretize the generalized multi-symplectic form,and the discrete structure-preserving condition for the numerical scheme is presented.According to the discrete structure-preserving condition,the permitted moving speed of the mass with different damping factors and different time step lengths is obtained to ensure the structure-preserving properties of the numerical scheme.Finally,the effects of the damping factor of the beam and the moving speed of the mass on the vibration of the beam are investigated by Preissmann’s scheme.The main contribution of this work is to provide a structure-preserving analysis approach for the vehicle-bridge interaction problem.

关 键 词：Vehicle-bridge interaction Dynamical symmetry breaking Generalized multi-symplectic HAMILTONIAN Moving mass 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置]