THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (9): 869-879.

THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS

汪克让

Tianjin University, Tianjing

收稿日期:1989-03-01 出版日期:1990-09-18 发布日期:1990-09-18

THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS

Wang Ke-rang

Tianjin University, Tianjing

Received:1989-03-01 Online:1990-09-18 Published:1990-09-18

摘要/Abstract

摘要： In this paper an accurate solution for the thick rectangular plate with free edges laid on elastic foundation is presented. The superposition method of trigonometric series is used. The method can solve this kind of plates directly and simply. Its results completely satisfy the boundary conditions of the four free edges and nicely agree with the solutions by Wang Ke-lin and Huang Yi^[2].

关键词: elastic foundation, Winkler’s assumption, thick plate

Abstract: In this paper an accurate solution for the thick rectangular plate with free edges laid on elastic foundation is presented. The superposition method of trigonometric series is used. The method can solve this kind of plates directly and simply. Its results completely satisfy the boundary conditions of the four free edges and nicely agree with the solutions by Wang Ke-lin and Huang Yi^[2].

Key words: elastic foundation, Winkler’s assumption, thick plate

汪克让. THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 869-879.

Wang Ke-rang. THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 869-879.

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THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATIONS

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