THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (11): 1091-1096.

THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS

李农¹, 付宝连²

1. Luoyang Institute of Technology, Luoyang;
2. Yanshan University, Qinhuangdao

收稿日期:1989-08-31 出版日期:1991-11-18 发布日期:1991-11-18

THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS

Li Nong¹, Fu Bao-lian²

1. Luoyang Institute of Technology, Luoyang;
2. Yanshan University, Qinhuangdao

Received:1989-08-31 Online:1991-11-18 Published:1991-11-18

摘要/Abstract

摘要： This paper treats the symmetrical bending of a uniformly loaded circular plate supported at k internal points. The boundary displacement and slope are expanded in Fourier seriesr. The method proposed by [6] is applied. As both the governing differential equation and boundary conditions are satisfied exactly, we therefore obtain the analytic expression of the transverse deflectionul equation of the circular plate. This is an easy and effective methed.

关键词: internal point support, symmetrical bending, deflectional equation

Abstract: This paper treats the symmetrical bending of a uniformly loaded circular plate supported at k internal points. The boundary displacement and slope are expanded in Fourier seriesr. The method proposed by [6] is applied. As both the governing differential equation and boundary conditions are satisfied exactly, we therefore obtain the analytic expression of the transverse deflectionul equation of the circular plate. This is an easy and effective methed.

Key words: internal point support, symmetrical bending, deflectional equation

李农;付宝连. THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(11): 1091-1096.

Li Nong;Fu Bao-lian. THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(11): 1091-1096.

[1]	黄家寅. UNIFORMLY VALID ASYMPTOTIC SOLUTIONS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE OF FOUR CLAMPED EDGES WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 817-826.
[2]	黄家寅. BASIC EQUATIONS OF THE PROBLEM OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 812-816.
[3]	黄家寅;秦圣立;许小平. THE PROBLEM OF THE NON-LINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR THIN PLATE WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(3): 279-295.
[4]	秦圣立;黄家寅. THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 779-796.
[5]	李农. A METHOD USING THE RECIPROCAL THEOREM TO SOLVE THE BENDING OF THIN ELASTIC SEMICIRCULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(12): 1127-1131.
[6]	杨骁;宁建国;程昌钧. BENDING OF CANTILEVER RECTANGULAR PLATES WITH THE EFFECT OF TRANSEVERSE SHEAR DEFORMATION[J]. Applied Mathematics and Mechanics (English Edition), 1992, 13(1): 61-75.

THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS

THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT K INTERNAL POINTS

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