VIBRATIONS OF ONE-WAY RECTANGULAR STEPPED THIN PLATES ON WINKLER’S FOUNDATION

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 169-177.

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VIBRATIONS OF ONE-WAY RECTANGULAR STEPPED THIN PLATES ON WINKLER’S FOUNDATION

Zhang Yingshi¹, Wang Xieshan²

1. Division 508. Department of Flight Vehicle Design and Applied Mechanics, Peking University ofAeronautics and Astronauties, Beijing 100083, P.R.China;
2. North China Electric Power University, Beijing 102206, P.R.China

Received:1995-11-03 Revised:1997-08-11 Online:1998-02-18 Published:1998-02-18

Abstract

Abstract: Differential equations of free forced vibrations of one-way rectangular stepped thin plated on Winkler’s foundation are established by using singular functions,their general solutions are solved:exprssion of vibration mode function and frequency equations on usual supports are derived from W operator:forced responses of such plates under different-type loads are discussed with generalized functions.

Key words: Winkler’s foundation, one-way rcctangular stepped thin plate, free vibration, forced response

Zhang Yingshi;Wang Xieshan. VIBRATIONS OF ONE-WAY RECTANGULAR STEPPED THIN PLATES ON WINKLER’S FOUNDATION. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 169-177.

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VIBRATIONS OF ONE-WAY RECTANGULAR STEPPED THIN PLATES ON WINKLER’S FOUNDATION

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