功能梯度板的非线性动力分析  

NONLINEAR DYNAMIC ANALYSIS OF FUNCTIONALLY GRADED MATERIAL PLATES

作　　者：曹志远[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《固体力学学报》2006年第1期21-25,共5页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金重点项目(10432030)资助

摘　　要：非线性材料功能梯度板件的动力分析是属于在数学方程上同时具有变系数、非线性、非定常特征的固体力学问题.文中首先将问题的变系数非线性偏微分方程组转化为各向异性常系数非线性常微分方程,然后用小参数法求得解析解,适用于各种形状、边界及功能梯度分布的板件非线性弹性振动分析.The dynamic analysis of nonlinear functionally graded material plate is one solid mechanics problem with the vary-coefficient, nonlinearity, and time-relation characters. To solve this problem, the nonlinear partial differential equation with varying coefficients is transformed into nonlinear ordinary differential one with ordinary coefficients, and the analytical solution can be obtained by the perturbational method. The results presented in this paper can be applied to the nonlinear elastic vibration analyses of FGM plates with various shapes, boundary conditions and functional grade distributions.

关 键 词：功能梯度材料 非线性振动 平板 小参数法 

分 类 号：TB34[一般工业技术—材料科学与工程]