BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (3): 229-235.

BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)

丁睿¹, 朱正佑^1,2, 程昌钧^1,2

1. Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
2. Shanghai Inst.of Appl. Math. and Mech., Shanghai 200072, P. R. China

收稿日期:1996-01-15 出版日期:1997-03-18 发布日期:1997-03-18
基金资助:
Project supported by the National Natural Science Foundation of China

BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)

Ding Rui¹, Zhu Zhengyou^1,2, Cheng Changjun^1,2

1. Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China;
2. Shanghai Inst.of Appl. Math. and Mech., Shanghai 200072, P. R. China

Received:1996-01-15 Online:1997-03-18 Published:1997-03-18
Supported by:
Project supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： 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.

关键词: dynamic response, viscoelasticity, BEM

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.

Key words: dynamic response, viscoelasticity, BEM

丁睿;朱正佑;程昌钧. BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(3): 229-235.

Ding Rui;Zhu Zhengyou;Cheng Changjun. BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(3): 229-235.

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BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)

BOUNDARY ELEMENT METHOD FOR SOLVING DYNAMICAL RESPONSE OF VISCOELASTIC THIN PLATE(I)

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