粘弹性薄板动力响应的边界元方法(Ⅱ)——理论分析  

Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate (Ⅱ)——Theoretical Analysis

作　　者：丁睿[1,2] 朱正佑[1,2] 程昌钧 

机构地区：[1]西南交通大学 [2]上海市应用数学和力学研究所

出　　处：《应用数学和力学》1998年第2期95-103,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金;教委博士点基金

摘　　要：本文中，对［１］中提出的粘弹性结构动力响应的近似边界元方法给出了必要的理论分析，得到了近似解的存在唯一性定理和误差估计·基于这些结论给出了网格宽度与基本解中截断项数的选取原则·本文中得到的理论结果和［１］中数值实验结果是一致·In this paper,the necessary theoretical analysis for the approximation boundary element method to solve dynamical response of viscoelastic thin plate presented in is discussed.The theorem of existence and uniqueness of the approximate solution and the error estimation is also obtained.Based on these conclusions,the principle for choosing the mesh size and the number of truncated term in the fundamental solution is given.It is shown that the theoretical analysis in this paper are consistent with the numerical results in .

关 键 词：动力响应 粘弹性 近似边界元法 薄板 边界元 

分 类 号：O343.1[理学—固体力学]