| 任意分布横向载荷下圆板混合边值问题的一种解析方法 |
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| 引用本文： | 郑小平,叶天麒,陈百屏.任意分布横向载荷下圆板混合边值问题的一种解析方法[J].应用数学和力学,1991,12(9):787-793. |
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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： | 西北工业大学 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 通过引入边界混合函数的概念,选用极坐标下双调和方程的特解序列为试函数,本文提出了一种求解圆板混合边值问题的解析方法.最后通过三个实例计算说明了该方法具有较好的收敛性和稳定性.
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| 关 键 词： | 圆板 混合边值问题 边界混合函数 双调和多项式 解析方法 |
| 收稿时间： | 1990-05-18 |
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,1991,12(9):787-793. |
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| Authors: | Zheng Xiao-ping Ye Tian-qi Chen Bai-ping |
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| Institution: | Northwestern Polytechical University. Xi'an |
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| Abstract: | 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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| Keywords: | circular plate mixed boundary value problem mixed boundary functions analytical method |
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