面内静载下非线性弹性板的振动分析  

Response Analysis of Vibration on Nonlinear Elasticity Plate

作　　者：刘燕[1] 彭建设[1] 袁玉全[1] 

机构地区：[1]西华师范大学物理与电子信息学院,四川南充637002

出　　处：《西华师范大学学报（自然科学版）》2007年第1期62-65,77,共5页Journal of China West Normal University(Natural Sciences)

摘　　要：针对四边简支的非线性弹性矩形板,计及面内静载对板的影响,考虑板的非线性效应,运用Galerkin原理,林滋泰德-庞加莱法,以第二类切比雪夫多项式和三角函数作为试函数,求解矩形板动力响应解,并对面内静载N对位移响应及频率响应的影响进行了讨论.The Galerkin principle and Linz Ted-Poincaré method are proposed for solving the nonlinear vibration problems of a rectangular beam with pined edges. The efforts of material nonlinear and static deformation on the dynamic characterisitics are taken into consideration. Then the dynamic response solution can be obtained. And the efforts of in-line static load and nonlinear elasticity parameter on the deflection response and frequency are discussed.

关 键 词：非线性 GALERKIN原理 林滋泰德-庞加莱法 静载变形 板 

分 类 号：O302[理学—力学]