| 用虚边界-最小二乘法求解弹性力学问题 |
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| 引用本文： | 邹广德,宋开禄.用虚边界-最小二乘法求解弹性力学问题[J].山东理工大学学报,1994(4). |
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| 作者姓名： | 邹广德 宋开禄 |
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| 作者单位： | 山东工程学院汽车工程系(邹广德)，铁道部十四局(宋开禄) |
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| 摘 要： | 本文提出了求解弹性力学问题的虚边界-最小二乘法。方法首先根据叠加原理建立了适用于各类边值问题的虚边界积分方程,采用最小二乘法逼近实际边界,从而求得虚拟力。文中给出了该方法的离散形式及计算实例。
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| 关 键 词： | 应力集中 最小二乘法 叠加原理 |
Solving Mechanics of Elasticity With Virtual Boundary-Least Square Method |
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| Zou Guangde,Song Kailu.Solving Mechanics of Elasticity With Virtual Boundary-Least Square Method[J].Journal of Shandong University of Technology:Science and Technology,1994(4). |
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| Authors: | Zou Guangde Song Kailu |
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| Institution: | Zou Guangde Song Kailu( Department of Automobile Engineering ) ( No.14 Engineering Burcan of Railway Ministry ) |
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| Abstract: | This paper proposes a virtual boundary-least square method that are going to beapplicable for solving some problems in the field of mechanics of elasticity. This method, based on the superposition principle, sets up virtual-boundary integration equations which are applicable to all kinds of boundary value, uses least square method to approximate actual boundary and evaluates virtual forces. This paper also presents the discrete form of the method and calculation examples. |
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| Keywords: | Stress concentration Boundary-least square method Superposition prin-ciple |
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