| 关于里茨法与伽辽金法关系的研究 |
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| 引用本文： | 罗吉祥,李琴. 关于里茨法与伽辽金法关系的研究[J]. 山西建筑, 2007, 33(10): 96-97 |
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| 作者姓名： | 罗吉祥 李琴 |
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| 作者单位： | 昆明理工大学建筑工程学院工程力学系,云南,昆明,650000 |
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| 摘 要： | 将里茨法(Ritz)和伽辽金法(Galerkin)应用于弹性力学,由弹性力学基本方程推导出余虚功原理,进而求得最小余能原理,从而说明里茨法和伽辽金法是等价的,这也说明变分原理与加权残数法之间有亲缘关系。
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| 关 键 词： | 弹性力学 余虚功原理 最小余能原理 |
| 文章编号： | 1009-6825(2007)10-0096-02 |
| 修稿时间： | 2006-11-10 |
Research into the relationship between Ritz and Galerkin method |
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| LUO Ji-xiang,LI Qin. Research into the relationship between Ritz and Galerkin method[J]. Shanxi Architecture, 2007, 33(10): 96-97 |
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| Authors: | LUO Ji-xiang LI Qin |
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| Affiliation: | LUO Ji-xiang LI Qin |
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| Abstract: | This paper applies Ritz and Galerkin method in elastic mechanics,deducts complementary virtual work principle with basic formula of elastic mechanics,and then gains minimal complementary energy principle to show that Ritz method and Galerkin method are equivalent,which illustrates that there are relative relationships between variational principle and weighted residual method. |
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| Keywords: | elastic mechanics complementary virtual work principle minimal complementary energy principle |
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