Semi-analytic Approach for the Nonlinear Vibration Analysis of Beams
A new semi-analytic perturbation differential quadrature method was presented for geometrically nonlinear vibration analysis for Euler-Bernoulli beams. The non-linear governing equation were transformed into a linear differential equations system through the using of the Linstedt-Poincare perturbation method, which were then solved by using the differential quadrature approximation in the space domain and an analytic series in the time domain. The present method is validated against the existing perturbation solutions in several comparison examples for simply supported beams. The numerical example shows that the proposed method possesses excellent convergence and accuracy.
beam nonliear vibration the differential quadrature method semi-analytic Approach
Canchang Liu Jianshe Peng
School of Transport and Vehicle Engineering Shandong University of Technology Zibo, 255049, PR China School of Industrial and Manufacturing Chengdu University Sichuan, 610106, P R China
国际会议
长春
英文
8-11
2010-08-24（万方平台首次上网日期，不代表论文的发表时间）