粘弹性薄板动力响应的边界元方法(Ⅰ)<sup>*</sup>

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粘弹性薄板动力响应的边界元方法(Ⅰ)^*

基金项目: * 国家教委博士点基金

1.
Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
2.
Lanzhou University, Lanzhou 730000; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

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.
- 动力响应 /
- 粘弹性 /
- 边界元法
Abstract: In this paper, a boundary element method for siolving dynamical response of viscoelastic thin plate is given In Laplace domain, we propose two methods to approximate the fundamental solution and develop the corresponding boundary element method Then using the improved Bellman's numerical inversion of the Laplace transform, the solution of the original problem is obtained. The numerical results show that this method has higher accuracy and faster convergence.
- dynamic response /
- viscoelasticity /
- BEM

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