| 非线性数值流形方法的变分原理与应用 |
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| 引用本文： | 骆少明,张湘伟,蔡永昌.非线性数值流形方法的变分原理与应用[J].应用数学和力学,2000,21(12):1265-1270. |
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| 作者姓名： | 骆少明 张湘伟 蔡永昌 |
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| 作者单位： | 汕头大学工学院机电系, 广东汕头, 515063 |
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| 摘 要： | 针对非线性力学问题,根据数值流形方法的特点及相应的位移模式,得到了面向物理覆盖的非线性数值流形方法的变分原理,详细推导了基于变分原理的非线性数值流形方法的理论计算公式,建立了非线性数值流形方法的理论体系和控制方程。作为实际应用,给出了相应的数值算例,结果表明,求解精度和效益令人满意。
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| 关 键 词： | 变分原理 数值流形方法 非线性分析 塑性流动 |
| 收稿时间： | 2000-03-09 |
| 修稿时间： | 2000_03_09 |
The Variational Principles and Application of Nonlinear Numerical Manifold Method |
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| LUO Shao-ming,ZHANG Xiang-wei,CAI Yong-chang.The Variational Principles and Application of Nonlinear Numerical Manifold Method[J].Applied Mathematics and Mechanics,2000,21(12):1265-1270. |
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| Authors: | LUO Shao-ming ZHANG Xiang-wei CAI Yong-chang |
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| Institution: | Mechatronic Engineering Department, Engineering College, Shantou University, Shantou, Guangdong 515063, P R China |
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| Abstract: | The physical-cover-oriented variational principle of nonlinear numerical manifold method (NNMM)for the analysis of plastical problems is put forward according to the displacement model and the characters of numerical manifold method(NMM).The theoretical calculating formulations and the controlling equation of NNMM are derived.As an example,the plate with a hole in the center is calcaulated and the results show that the solution precision and efficiency of NNMM are agreeable. |
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