Affiliation:
1. Department of Bridge Engineering, Tongji University, SH, CN
Abstract
<p>In this paper a semi-analytical method is proposed to calculate dynamic responses of cantilever plates subjected to moving loads. Rayleigh-Ritz method is used to obtain free vibration characteristics of the cantilever plate by using assumed mode shapes that fulfil the boundary conditions of the plate. The motion equations of the cantilever plate are decoupled by the mode superposition method to obtain a series of equations represented by the generalized coordinates. The generalized forces are then expanded to Fourier series of discrete harmonic loading components. The dynamic responses of the plate are thus obtained by superimposing the analytical responses of many single degree of freedom systems induced by harmonic loads. Finally, this method is verified by comparing the results with those obtained from pure numerical simulation.</p>
Publisher
International Association for Bridge and Structural Engineering (IABSE)
Reference8 articles.
1. Kurihara, M. and T. Shimogo, Stability of a Simply-Supported Beam Subjected to Randomly Spaced Moving Loads. Journal of Mechanical Design, 1978. 100(3): p. 507.
2. Savin, E., Dynamic amplification factor and response spectrum for the evaluation of vibrations of beams under successive moving loads. Journal of Sound & Vibration, 2001. 248(2): p. 267-288.
3. Vibration of simple beams due to trains moving at high speeds
4. Xiao-zhen, L., Z. Zhi-jun, and L. Quan-min, Vertical dynamic response analysis of a simply supported beam bridge under successive moving loads. Journal of Vibration and Shock, 2012(20): p. 137-142.
5. Yang, Z., C. Jing-yun, and W. Su-yan, Analytical solution of rectangular cantilever thin plate. Chinese Journal of Computational Mechanics, 2006. 23(3): p. 368-372.