摄动微分求积法解复合材料层合板非线性振动  

Perturbation and Differential Quadrature Method Solving Nonlinear Vibration of Laminate

作　　者：熊铃华[1,2] 彭建设[3] 王璠[1,2] 

机构地区：[1]暨南大学力学与土木工程系,广东广州510632 [2]暨南大学应用力学研究所教育部"重大工程灾害与控制"重点实验室,广东广州510632 [3]西华师范大学,四川南充637000

出　　处：《材料科学与工程学报》2010年第6期852-856,共5页Journal of Materials Science and Engineering

基　　金：国家自然科学基金资助项目(10572054);教育部科学技术研究重点资助项目(106156)

摘　　要：以摄动法将层合板的非线性振动偏微分方程线性化,从摄动方程中分离出时域函数并求解。将场函数设定为含时域函数的待定函数,通过微分求积法对空间域的摄动方程进行离散,将其转化成一系列的线性方程并通过编程求解。算例结果分析说明算法精度良好且效率高。Based on perturbation method,the linearization is obtained from the nonlinear vibration partial differential equations of a laminate.From perturbation equations the time domain function is separated and solved.After having set field function an undetermined form which contains time domain function,perturbation equations are scattered by differential quadrature method.Ultimately a series of linear perturbation equations are obtained and solved by programming.Examples demonstrate the validity and high efficiency of the proposed method.

关 键 词：摄动 微分求积法 半解析法 

分 类 号：O302[理学—力学]