Boundary Element Method for Dynamical Response of   Viscoelastic Thin Plates

曹咏弘; 程昌钧

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Boundary Element Method for Dynamical Response of Viscoelastic Thin Plates

更新时间：2026-09-14

- Boundary Element Method for Dynamical Response of Viscoelastic Thin Plates
- 粘弹性薄板动力响应的边界元方法
- Issue 2, (1999)
- 作者机构：
  
  1. 华北工学院应用力学研究所,山西,太原,030051
  2. 上海市应用数学和力学研究所,上海,200072
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1999
- 稿件说明：
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曹咏弘, 程昌钧. Boundary Element Method for Dynamical Response of Viscoelastic Thin Plates[J]. 1999, (2).
DOI：

曹咏弘, 程昌钧. Boundary Element Method for Dynamical Response of Viscoelastic Thin Plates[J]. 1999, (2). DOI：

摘要

目的研究粘弹性薄板动力响应的边界元方法．方法首先在物理空间建立了粘弹性薄板动力响应问题的数学模型，然后利用拉普拉斯变换得到拉氏变换域的基本方程；利用基本方程的基本解，由边界元方法得到边界积分方程，并求得数值解；最后通过数值Ｌａｐｌａｃｅ逆变换得到原问题的解．结果给出粘弹性圆板、环板的挠度随时间的演化图．结论根据演化图，可得挠度、弯矩随时间的变化关系．

Abstract

Aim To study the boundary element method of the dynamical response of viscoelastic thin plates. Methods In the first place

the mathematical model of the dynamical response of viscoelastic thin plates is established in physical space

then the fundamental equation in Laplace domain is obtained by using Laplace transformation. Using both the fundamental solution of the fundamental equation and the boundary element method

the boundary integral equation in Laplace domain are obtained and solved numerically. The results of the original program are given by taking the numerical transform inversion. Results The deflection time curves and the bending moment time curves of the circular plate and the annular plate are given. Conclusion According to these figures the varying relation of deflection and time

also bending moment and time

is obtained.

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