VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (5): 568-578.

VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION

张英世

Division 508, Department of Flight Vehicle Design and Applied Me chanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P.R.China

收稿日期:1997-08-27 修回日期:1999-02-20 出版日期:1999-05-18 发布日期:1999-05-18
通讯作者: Li Li

VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION

Zhang Yingshi

Division 508, Department of Flight Vehicle Design and Applied Me chanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P.R.China

Received:1997-08-27 Revised:1999-02-20 Online:1999-05-18 Published:1999-05-18

摘要/Abstract

摘要： Differential equations of free/forced vibrations of stepped rectangular thin plates on Winkler’s foundation are estab lished by using singular functions, and their general solutions are also solved for expression of vibration mode function and frequency equations on usual supports derived with Woperator, as well as forced responses of such plates under different-type loads discussed with Fourier expansion of generalized functions.

关键词: Winkler’s foundation, stepped rectan gular thin plate, free vibration, forced response

Abstract: Differential equations of free/forced vibrations of stepped rectangular thin plates on Winkler’s foundation are estab lished by using singular functions, and their general solutions are also solved for expression of vibration mode function and frequency equations on usual supports derived with Woperator, as well as forced responses of such plates under different-type loads discussed with Fourier expansion of generalized functions.

Key words: Winkler’s foundation, stepped rectan gular thin plate, free vibration, forced response

张英世. VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 568-578.

Zhang Yingshi. VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 568-578.

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VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION

VIBRATIONS OF STEPPED RECTANGULAR THIN PLATES ON WINKLER’S FOUNDATION

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