| 有限点法及其在固体力学中的应用 |
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| 引用本文： | 谭礼乔. 有限点法及其在固体力学中的应用[J]. 武汉大学学报(工学版), 1988, 0(5) |
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| 作者姓名： | 谭礼乔 |
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| 作者单位： | 长沙交通学院 |
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| 摘 要： | 本文提出了一种新的数值方法来解决固体力学问题。首先求出了局部区域的近似解析解。然后利用近似解析解和能量泛函取极小值的原理,处理了各种边界条件。本法避免了有限差分法。有限分析法,有限单元法和边界单元法的一些缺点,吸收了它们的一些优点。计算实例表明有限点法在计算精度和效率方面对数值法是一个明显的改进。
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| 关 键 词： | 有限差分法 有限元 计算固体力学 计算方法 |
Finite Point Method and Its Application to Solid Mechanics |
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| Tan Liqiao. Finite Point Method and Its Application to Solid Mechanics[J]. Engineering Journal of Wuhan University, 1988, 0(5) |
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| Authors: | Tan Liqiao |
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| Abstract: | A new numerical method is proposed to solve problems in solid mechanics. Firstly, the approximate analytical solution of a local domain is derived. Then, through this solution and the principle of minimizing energy functional, various boundary conditions are dealt with, so the shortcomings of FDM, FAM. FEM and BEM are avoided and their advantages absorbed in this method. The calculation examples demonstrate that the Finite point Method has been a remarkable improvement upon the current numcrical methods in computational precision and efficiency. |
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| Keywords: | finite difference method finite element computation solid mechanics computational method |
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