RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 191-205.

• 论文 • 上一篇

RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

李慧剑, 付宝连, 谭文峰

Yanshan University, Qinhuangdao 066004, P.R.China

收稿日期:1995-06-26 修回日期:1997-06-09 出版日期:1998-02-18 发布日期:1998-02-18
通讯作者: Chien Weizang

RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

Li Huijian, Fu Baolian, Tan Wenfeng

Yanshan University, Qinhuangdao 066004, P.R.China

Received:1995-06-26 Revised:1997-06-09 Online:1998-02-18 Published:1998-02-18

摘要/Abstract

摘要： In this paper, reciprocal theorent method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner’s theory. The paper derives the dynamic basic solution of thick rechangular plates:and the exact analytical solution of the steady-state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple, convenient and general method forcalculating the steady-state responses of forced vibration of thick rectangular plates.

关键词: reciprocal theorem method, dynamic basic solution, thickrectangular plate, forced vibration

Abstract: In this paper, reciprocal theorent method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner’s theory. The paper derives the dynamic basic solution of thick rechangular plates:and the exact analytical solution of the steady-state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple, convenient and general method forcalculating the steady-state responses of forced vibration of thick rectangular plates.

Key words: reciprocal theorem method, dynamic basic solution, thickrectangular plate, forced vibration

李慧剑;付宝连;谭文峰. RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 191-205.

Li Huijian;Fu Baolian;Tan Wenfeng . RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 191-205.

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RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

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