Nonlinear dynamic response of functionally graded rectangular plates under different internal resonances(IWAE2008)

摘要：

The nonlinear dynamic response of functionally graded (FGM) rectangular plates under combined transverse and in-plane excitations are investigated under the conditions of 1:1, 1:2 and 1:3 internal resonance. The material properties are assumed to be temperature-dependent and vary along the thickness direction. The thermal effect due to one-dimensional temperature gradient is included in the analysis. The governing equations of motion for FGM rectangular plates are derived by using Reddys third-order plate theory and Hamiltons principle. The Galerkins approach is utilized to reduce the governing differential equations to a two-degree-offreedom nonlinear system including quadratic and cubic nonlinear terms, which are then solved numerically by using 4-th order Runge-Kutta algorithm. The effects of in-plane excitations on the internal resonance relationship and nonlinear dynamic response of FGM plates are studied.

关键词： Functionally graded materials Rectangular plate Internal resonance Nonlinear dynamic resonance resonance

作者: Y.X.Hao W.Zhang

作者单位: College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, P.R.China Colle College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, P.R.China

会议类型: 国际会议

会议名称: 2008 National Academic Symposium for Ph. D. Candidates and Tri-University Workshop on Aero-Structural Mechanics & Aerospace Engineering(NASPCTUWMAE2008)(2008年国际航天航空工程会议暨2008年博士生学术会议(力学))

会议地点: 北京

会议语种:英文

页码: 1-5

在线出版日期: 2008-10-23（万方平台首次上网日期，不代表论文的发表时间）