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 .
出处
《应用数学和力学》
CSCD
北大核心
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
关键词
动力响应
粘弹性
近似边界元法
薄板
边界元
dynamic response,viscoelasticity,approximate boundary element method,error estimation
