AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (9): 841-848.

AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS

郑小平, 叶天麒, 陈百屏

Northwestern Polytechnical University, Xi'an

收稿日期:1990-05-18 出版日期:1991-09-18 发布日期:1991-09-18
基金资助:
Partially Supported by the National Natural Science Foundation of China

AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS

Zheng Xiao-ping, Ye Tian-qi, Chen Bai-ping

Northwestern Polytechnical University, Xi'an

Received:1990-05-18 Online:1991-09-18 Published:1991-09-18
Supported by:
Partially Supported by the National Natural Science Foundation of China

摘要/Abstract

摘要： In this paper by using the concept of mixed boundary funetions, an analytical method is proposed for a mixed boundary value problem of circular plates.The trial functions are constructed by using the series of particular solutions of the biharmonic equations in the polar coordinate system.Three examples are presented to show the stability and high convergence rate of the method.

关键词: circular plate, mixed boundary value problem, mixed boundary functions, analytical method

Abstract: In this paper by using the concept of mixed boundary funetions, an analytical method is proposed for a mixed boundary value problem of circular plates.The trial functions are constructed by using the series of particular solutions of the biharmonic equations in the polar coordinate system.Three examples are presented to show the stability and high convergence rate of the method.

Key words: circular plate, mixed boundary value problem, mixed boundary functions, analytical method

郑小平;叶天麒;陈百屏. AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 841-848.

Zheng Xiao-ping;Ye Tian-qi;Chen Bai-ping. AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(9): 841-848.

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AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS

AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS

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