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动柔度与特征向量导数 被引量:8

Dynamic flexibility and eigenvector derivatives
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摘要 现有特征向量导数分析的“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” 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.
出处 《计算力学学报》 CAS CSCD 1999年第3期261-269,共9页 Chinese Journal of Computational Mechanics
基金 国家自然科学基金
关键词 动刚度 动柔度 幂级数 特征向量导数 dynamic stiffness dynamic flexibility power series eigenvector derivative
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