粘弹性薄板动力响应的边界元方法(Ⅰ)  

Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate (Ⅰ)

作　　者：丁睿[1] 朱正佑[1] 程昌钧[1] 

机构地区：[1]兰州大学力学系,兰州7301000

出　　处：《应用数学和力学》1997年第3期211-216,共6页Applied Mathematics and Mechanics

基　　金：国家教委博士点基金

摘　　要：本文中我们给出了粘弹性薄板动力响应的边界元方法．在Laplace变换区域中，给出了基本解的两种近似方法，运用这些近似基本解建立了边界元方法，再利用改进的Bellman反交换技术，求得问题的解，计算表明该方法具有较高精度和较快收敛性．In this paper, a boundary element method for solving dynamical response ofviscoelastic thin plate is gived. In Laplace domain, we propose two methods toapproximate the fundamental solution and develop the corresponding boundaryelement method. Then using the improved Bellman's numerical inversion of theLaplace transform, the solution of the original problem is obtained.The numerical results show that this method has higher accuracy and faster convergence.

关 键 词：动力响应 粘弹性 边界元法 薄板 

分 类 号：O342[理学—固体力学]