| 横观各向同性轴对称问题的加权残数法及其工程应用 |
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| 引用本文： | 章亮炽,丁浩江.横观各向同性轴对称问题的加权残数法及其工程应用[J].力学学报,1987(5). |
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| 作者姓名： | 章亮炽 丁浩江 |
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| 作者单位： | 浙江大学
(章亮炽)，浙江大学(丁浩江) |
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| 摘 要： | 利用文1,5]的理论,本文提出用两个调和函数的方法求解横观各向同性的轴对称问题,将它引入加权残数法,推得了一系列简洁的边界型最小二乘配法公式,就结构工程和岩土工程的两个例题作了计算,得到了有用的结论。本文的方法比列赫尼茨基的重调和函数法更为简便。
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THE METHOD OF WEIGHTED RESIDUALS FOR THE TRANSVERSELY ISOTROPIC AXISYMMETRIC PROBLEMS AND ITS APPLICATIONS TO ENGINEERING |
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| Zhang Liangchi Ding Haojiang.THE METHOD OF WEIGHTED RESIDUALS FOR THE TRANSVERSELY ISOTROPIC AXISYMMETRIC PROBLEMS AND ITS APPLICATIONS TO ENGINEERING[J].chinese journal of theoretical and applied mechanics,1987(5). |
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| Authors: | Zhang Liangchi Ding Haojiang |
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| Institution: | Zhejiang University |
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| Abstract: | An approach with two harmonic functions is suggested by applying the theorems of references 1] and 5] to solve the transervely isotropic axisymmetric problems. Based on this approach, a siries of simple formulas of the boundary least square collocation method is derived. Two typical examples in structure and rack engineering are computed, and several useful conclusions are obtained. The method in this paper is much more convenient than that of Lekhniskii's with biharmonic function. |
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| Keywords: | the method of Weighted Residuals isotropic axisymmetric least square collocation method |
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