| 奇异值分解技术在加权残数法中应用 |
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| 引用本文： | 陈丽薇.奇异值分解技术在加权残数法中应用[J].哈尔滨工程大学学报,1986(2). |
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| 作者姓名： | 陈丽薇 |
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| 作者单位： | 哈尔滨船舶工程学院航天工程系 |
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| 摘 要： | 本文试图将奇异值分解技术(SVD—Singular Value Decomposition)引入计算结构力学的加权残数法中。利用最小二乘配点法得到连续体的残数方程后,本文采用了SVD技术求出这些方程的最小二乘解。文中还给出了在微机上用SVD技术求解薄板弯曲最小二乘解的若干算例。计算结果表明,它具有计算精度高,结果稳定,取点少,点的布局限制小等优点。
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| 关 键 词： | 加权残数法 奇异值分解 最小二乘配点法 |
The Application of SVD Technique in theMethod of Weighted Residuals |
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| Chen Liwei Dept. of Aerospace Eng..The Application of SVD Technique in theMethod of Weighted Residuals[J].Journal of Harbin Engineering University,1986(2). |
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| Authors: | Chen Liwei Dept of Aerospace Eng |
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| Affiliation: | Chen Liwei Dept. of Aerospace Eng. |
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| Abstract: | An approach is presented of applying the SVD technique to the Methodof Weighted Residuals in computational structural mechanics. After theresidual equations of the continuous system is obtained by using the LeastSpuare Collocation Method, the SVD technipue is employed to solve thoseequations. Several numerical examples for the bending of plates are given.This approach provides a new tool in the MWR with the advantages ofmore stable solution, higher accuracy, less calculation points and lesscollocarion limits of the points etc. |
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| Keywords: | methop of weighted residuals SVD (singular value decomposition) least square collocation method |
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