粘弹性四边松散夹支薄板非线性动力响应  

Nonlinear Dynamic Responses of Viscoelastic Thin Plates Fixed by Relaxation Clamp

作　　者：胡浩[1,2] 傅衣铭[1] 郑健龙[3] 

机构地区：[1]湖南大学 [2]长沙交通学院,湖南长沙410076 [3]长沙交通学院

出　　处：《长沙交通学院学报》2002年第4期4-7,共4页Journal of Changsha Communications University

摘　　要：假设泊松比为常数 ,由Boltzmann叠加原理、非线性几何关系和Karman理论 ,建立了粘弹性薄板非线性动力方程和四边松散夹支各向同性粘弹性板动力弯曲的初边值问题及方程组 ,并用Galerkin法进行求解 。Under the assumption that the Poisson ratio μ is constant and based on the Boltzmann superposition principle, geometric nonlinear equations and the Karman theory, a set of nonlinear dynamic equations for linear viscoelastic thin plates with relaxation clamp is derived. The equations obtained are solved by adopting Galerkin method, and the numeric results of dynamic responses for linear viscoelastic thin plates with relaxation clamp are given.

关 键 词：四边松散夹支薄板 粘弹性薄板 几何非线性 动力响应 动力弯曲 数学模型 非线性动力方程组 数值求解 

分 类 号：O345[理学—固体力学]