| 结构动力修改的循环对称摄动新方法 |
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| 引用本文： | 赵宁,方宗德. 结构动力修改的循环对称摄动新方法[J]. 中国机械工程, 2004, 15(1): 7-10 |
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| 作者姓名： | 赵宁 方宗德 |
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| 作者单位： | 西北工业大学机电学院,西安,710072 |
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| 基金项目： | 航空科学基金资助项目 (0 0 C53 0 18 |
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| 摘 要： | 利用结构的循环对称特性，以矩阵摄动理论和复约束法、伪单元法为基础，提出结构动力修改的循环对称摄动新方法，通过对循环对称扇区模型的分析获得整个循环对称结构特征值和特征向量的变化，大规模减少了这类结构动力修改的计算工作量，大大提高了计算效率。算例证明方法正确、有效、简捷。
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| 关 键 词： | 结构动力修改 循环对称结构 矩阵摄动 特征值 特征向量 有限元法 |
| 文章编号： | 1004-132X(2004)01-0007-04 |
A New Matrix Perturbation Method of Cyclic Symmetry for Structural Dynamic Modification |
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| Zhao Ning Fang Zongde Northwestern Polytechnical University,Xi'an. A New Matrix Perturbation Method of Cyclic Symmetry for Structural Dynamic Modification[J]. China Mechanical Engineering, 2004, 15(1): 7-10 |
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| Authors: | Zhao Ning Fang Zongde Northwestern Polytechnical University Xi'an |
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| Affiliation: | Zhao Ning Fang Zongde Northwestern Polytechnical University,Xi'an,710072 |
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| Abstract: | Analyzing the eigenvalues is the foundation of dynamic analysis and design in cyclic symmetric structure. Based on the matrix perturbation theory,the complex constraint method and pseudo-element method, a new matrix perturbation method of cyclic symmetry for structural dynamic modification in cyclic symmetric structure was presented. With the characteristics of cyclic symmetry in structure and through the analysis of the model of cyclic symmetric sector, the varieties of eigenvalues and eigenvectors of cyclic symmetric structure can be fully obtained, and the calculation work of structural dynamic modification in cyclic symmetric structure can be further reduced, and the efficiency of calculation can be greatly improved. The results show the correctness and efficiency of the new method, and its conciseness has been proved. |
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| Keywords: | structural dynamic modification cyclic symmetric structure matrix perturbation eigenvalue eigenvector finite element method |
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