AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (6): 547-557.

AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES

姜稚清, 刘金喜

Shijiazhuang Railway Institute, Shijiazhuang

收稿日期:1991-03-27 出版日期:1992-06-18 发布日期:1992-06-18

AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES

Jiang Zhi-qing, Liu Jin-xi

Shijiazhuang Railway Institute, Shijiazhuang

Received:1991-03-27 Online:1992-06-18 Published:1992-06-18

摘要/Abstract

摘要： A closed series solution is proposed for the bending of point-supported orthotropic rectangular thin plates. The positions of support points and the distribution of transverse loadare arbitrary. If the number of simply supported points gradually increases the solution can infinitely approach to Navier’s solution. For the square plate simply supported on the middle of each edge and free at each corner, the results are very close to the numerical solutions in the past.

关键词: exact solution, point supports, orthotropic rectangular thin plate

Abstract: A closed series solution is proposed for the bending of point-supported orthotropic rectangular thin plates. The positions of support points and the distribution of transverse loadare arbitrary. If the number of simply supported points gradually increases the solution can infinitely approach to Navier’s solution. For the square plate simply supported on the middle of each edge and free at each corner, the results are very close to the numerical solutions in the past.

Key words: exact solution, point supports, orthotropic rectangular thin plate

姜稚清;刘金喜. AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(6): 547-557.

Jiang Zhi-qing;Liu Jin-xi. AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(6): 547-557.

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AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES

AN EXACT SOLUTION FOR THE BENDING OF POINT-SUPPORTED ORTHOTROPIC RECTANGULAR THIN PLATES

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