USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 157-162.

USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE

金波

Institute of Structure Theory, Tongji University, Shanghai 200092, P.R.China

收稿日期:1996-04-26 出版日期:1998-02-18 发布日期:1998-02-18
通讯作者: He Fubao

USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE

Jin Bo

Institute of Structure Theory, Tongji University, Shanghai 200092, P.R.China

Received:1996-04-26 Online:1998-02-18 Published:1998-02-18

摘要/Abstract

摘要： The dual integral equations of vertical forced vibration of elastic plate on an elastic half space subject to harmonic uniform distribution loading are established according to the mixed boundary-value condition.By applying Abel transformation the dual integral equations are reduced to Fredholm integral equation of the second kind which is solved numerically.

关键词: elastic half space, elastic plate, dynamic response, Fredholm integral equation of the second kind

Abstract: The dual integral equations of vertical forced vibration of elastic plate on an elastic half space subject to harmonic uniform distribution loading are established according to the mixed boundary-value condition.By applying Abel transformation the dual integral equations are reduced to Fredholm integral equation of the second kind which is solved numerically.

Key words: elastic half space, elastic plate, dynamic response, Fredholm integral equation of the second kind

金波. USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 157-162.

Jin Bo . USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 157-162.

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USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE

USING FREDHOLM INTEGRAL EQUATION OF THE SECOND KIND TO SOLVE THE VERTICAL VIBRATION OF ELASTIC PLATE ON AN ELASTIC HALF SPACE

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