| 厚壳三维分析的虚边界元最小二乘法 |
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| 引用本文： | 许强,孙焕纯.厚壳三维分析的虚边界元最小二乘法[J].大连理工大学学报,1996,36(4):413-418. |
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| 作者姓名： | 许强 孙焕纯 |
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| 作者单位： | 大连理工大学工程力学系１１６０２４ |
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| 摘 要： | 给出虚边界元最小二乘法的基本思想，并计算了厚壳问题，与边界元直接法相比，避免了奇异积分的数值处理，且系数阵是对称的，程序实现较容易，节省近一半机子内存。由数值算例表明，计算精度是令人满意的。
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| 关 键 词： | 最小二乘法 壁厚壳体 虚边界元 三维分析 壳体 |
Virtual boundary element least square method for solving three dimensional problems of thick shell |
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| Xu Qiang,Sun Huanchun.Virtual boundary element least square method for solving three dimensional problems of thick shell[J].Journal of Dalian University of Technology,1996,36(4):413-418. |
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| Authors: | Xu Qiang Sun Huanchun |
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| Abstract: | The basic idea of the virtual boundary element least square method is presented for solving three dimension problems. And thick shell problems of three dimension elasticity are computed by this method. Comparing with the direct formulation of boundary element method, numerical treatment for singular integration is avoided, and the coefficient matrix is a symmetrical one. The results of these numerical examples show that the method has higher accuracy. In addition, the method presented may be applied to the solution of many kinds of mathematical problems and technological problems. |
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| Keywords: | least squares methods thick wall shells/virtual boundary element |
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