张德文,张令弥.动柔度与特征向量导数[J].计算力学学报,1999,16(3):261~269 |
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动柔度与特征向量导数 |
Dynamic flexibility and eigenvector derivatives |
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DOI:10.7511/jslx19993044 |
中文关键词: 动刚度 动柔度 幂级数 特征向量导数 |
英文关键词:dynamic
stiffness,dynamic flexibility,power series,eigenvector derivative |
基金项目:国家自然科学基金 |
张德文 张令弥 |
[1]北京强度环境研究所 [2]南京航空航天大学 |
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中文摘要: |
现有特征向量导数分析了“直接法”用于求解很多特征向量导数的问题时,显得计算效率过低,为解决这个问题,本文导出了一种过渡动柔度式,使得计算很多个特征向量的导数时,计算效率高于现有各种“直接法”。 |
英文摘要: |
Up to now, when all
direct methods for computing eigenvector derivatives are used to solve the derivatives of many
eigenvectors, they are tremendous time consuming. In order to save the computer time in the
calculation of many eigenvector derivatives, an efficient method for computing eigenvector
derivatives is developed in this paper. This method is based on two mathematical LEMMAs
and a developed mixed power series of the dynamic flexibility presented in this paper and
shows the higher computational efficiency as compared with other direct methods, especially in
multiple eigenvector derivative calculation of a large design system. |
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