A METHOD USING THE RECIPROCAL THEOREM TO SOLVE THE BENDING OF THIN ELASTIC SEMICIRCULAR PLATES

Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (12): 1127-1131.

A METHOD USING THE RECIPROCAL THEOREM TO SOLVE THE BENDING OF THIN ELASTIC SEMICIRCULAR PLATES

李农

Luoyang Institute of Technology, Luoyang, Henan

收稿日期:1990-05-25 出版日期:1992-12-18 发布日期:1992-12-18

A METHOD USING THE RECIPROCAL THEOREM TO SOLVE THE BENDING OF THIN ELASTIC SEMICIRCULAR PLATES

Li Nong

Luoyang Institute of Technology, Luoyang, Henan

Received:1990-05-25 Online:1992-12-18 Published:1992-12-18

摘要/Abstract

摘要： The bending of the thin elastic semicircular plates, because of its complicated boundary conditions, brings some difficulties for us to obtain its solution. This paper applies the reciprocal theorem to propose a general simple convenient method to obtain the transverse deflectional equations of the plates.

关键词: thin semicircular plate, reciprocal theorem, deflectional equation

Abstract: The bending of the thin elastic semicircular plates, because of its complicated boundary conditions, brings some difficulties for us to obtain its solution. This paper applies the reciprocal theorem to propose a general simple convenient method to obtain the transverse deflectional equations of the plates.

Key words: thin semicircular plate, reciprocal theorem, deflectional equation

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.

Li Nong. 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.

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[2]	付宝连. GENERALIZED RECIPROCAL THEOREMS AND THEIR APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 203-210.
[3]	边宇虹. BENDING OF RECTANGULAR PLATE WITH EACH EDGES ARBITRARY A POINT SUPPORTED UNDER A CONCENTRATED LOAD[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 591-596.
[4]	云天铨. ANALYSIS OF SLOPING ELASTIC PILE UNDER ARBITRARY LOADS BY LINE-LOADED INTEGRAL EQUATION METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(4): 365-372.
[5]	李慧剑;付宝连;谭文峰. RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 191-205.
[6]	边宇虹. THE BENDING OF SET SQUARES WITH ONE FREE OBLIQUE EDGE UNDER A CONCENTRATED LOAD[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(7): 697-706.
[7]	付宝连;谭文锋. RECIPROCAL THEOREM METHOD FOR SOLVING THE PROBLEMS OF BENDING OF THICK RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(4): 391-403.
[8]	陈立志;付宝连. THE BENDING OF THIN RECTANGULAR PLATES WITH MIXEDSUPPORTED SEGMENTS OF STRAIGHT EDGES[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(1): 47-58.
[9]	付宝连;李农. THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(7): 663-680.
[10]	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.
[11]	付宝连;李农. THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (II)-RECTANGULAR PLATES WITH TWO ADJACENT CLAMPED EDGES[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1043-1054.

A METHOD USING THE RECIPROCAL THEOREM TO SOLVE THE BENDING OF THIN ELASTIC SEMICIRCULAR PLATES

A METHOD USING THE RECIPROCAL THEOREM TO SOLVE THE BENDING OF THIN ELASTIC SEMICIRCULAR PLATES

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