| 中间特征向量灵敏度的自适应迭代计算 |
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| 引用本文： | 陈锦洪,钟慧湘,吴柏生.中间特征向量灵敏度的自适应迭代计算[J].吉林大学学报(理学版),2023,61(1):148-153. |
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| 作者姓名： | 陈锦洪 钟慧湘 吴柏生 |
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| 作者单位： | 广东工业大学 机电工程学院, 广州 510006 |
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| 基金项目： | 国家自然科学基金(批准号：11672118)； |
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| 摘 要： | 提出一种自适应计算系统特征向量灵敏度的方法.首先，自适应确定需计算的中间模态；其次，构造一个迭代算法自适应逼近未知的低阶模态和高阶模态贡献；最后通过数值算例验证该方法的有效性.结果表明，该方法仅需对移位的刚度矩阵实施一次分解，不需分解其他矩阵.
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| 关 键 词： | 频带 中间特征向量 灵敏度 谱半径 自适应算法 |
| 收稿时间： | 2021-11-03 |
Adaptive Iterative Calculation of Sensitivity of Mid-Eigenvectors |
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| CHEN Jinhong,ZHONG Huixiang,WU Baisheng.Adaptive Iterative Calculation of Sensitivity of Mid-Eigenvectors[J].Journal of Jilin University: Sci Ed,2023,61(1):148-153. |
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| Authors: | CHEN Jinhong ZHONG Huixiang WU Baisheng |
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| Institution: | School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China |
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| Abstract: | We proposed an adaptive method for calculating the sensitivity of the system eigenvector. Firstly, the mid-modes to be calculated were determined adaptively. Secondly, an iterative algorithm was constructed to adaptively approximate the unknown low-order modal and high-order modal contributions. Finally, the effectiveness of this proposed method was verified by numerical example. The results show that this method only needs to decompose the shifted stiffness matrix once, and does not need to decompose other matrices. |
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| Keywords: | frequency band mid-eigenvector sensitivity spectral radius adaptive algorithm |
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