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.

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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

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

Abstract

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

Jin Bo . 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, 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

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