Differential Quadrature Method for Vibration Analysis of Finite Beams on Nonlinear Viscoelastic Foundations
This paper investigates finite beams resting on nonlinear viscoelastic foundations.Nonlinear foundation is assumed to be cubic.It studies free vibration and dynamic response of the beam subjected to a harmonic moving load.The differential quadrature (DQ) methods are applied directly to the governing equations.Based on the numerical solutions,the natural frequencies are obtained with discrete Fourier transform (DFT).The frequencies of nonlinear vibration are compared with thc compiex modal analysis method for the corresponding governing equations without nonlinear pans.The effects of system parameters on natural frequencies and dynamic response are numerically studied.
P.LI H.DING L.-Q.CHEN
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Department of Mechanics, Shanghai University, Shanghai 200444, China
国际会议
Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)
上海
英文
387-391
2013-08-01(万方平台首次上网日期,不代表论文的发表时间)