| AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS |
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| 作者姓名： | 郑小平 叶天麒 陈百屏 |
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| 作者单位： | Northwestern Polytechnical University，Xi'an，Northwestern Polytechnical University，Xi'an，Northwestern Polytechnical University，Xi'an |
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| 基金项目： | Partially Supported by the National Natural Science Foundation of China |
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| 摘 要： | In this paper by using the concept of mixed boundary functions,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.
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| 收稿时间： | 18 May 1990 |
An analytical method for a mixed boundary value problem of circular plates under arbitrary lateral loads |
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| 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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| Authors: | Zheng Xiao-ping Ye Tian-qi Chen Bai-ping |
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| Institution: | (1) Northwestern Polytechnical University, Xi'an |
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| 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. |
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| Keywords: | circular plate mixed boundary value problem mixed boundary functions analytical method |
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