Exact Solution of Eigenvalue and Eigenvector Derivatives and Its Application in Structural Dynamics

[1]Adelman H M, Haftka R T. Sensitivity analysis of discrete structural systems[J].AIAA Journal, 1986,24(5):823~832. [2]章永强,王文亮.广义特征值问题中重特征值的特征向量导数[J].力学学报,1994,26(2):81~89. [3]Nelson R B. Simplified calculation of eigenvector derivatives[J].AIAA Journal, 1976,14(9):1201~1205. [4]Ojalvo I U. Efficient computation of modal sensitivities for system with repeated frequencies[J].AIAA Journal, 1988,26(3):361~366. [5]Mills-Curran W C. Calculation of eigenvector derivatives for structures with repeated eigenvalues[J].AIAA Journal,1988,26(7):867~871. [6]Daily R L. Eigenvector derivatives with repeated eigenvalues[J].AIAA Journal, 1989,27(4):486~491. [7]Mills-Curran W C. Comment on `Eigenvector derivatives for structures with repeated eigenvalues'[J]. AIAA Journal, 1990,28(5):1846. [8]Zhang D W, Wei F S. Computation of eigenvector derivatives with repeated eigenvalues using a complete modal space[J].AIAA Journal, 1995,33(9):1749~1753. [9]Ji-guang S. A note on local behavior of multiple eigenvalues[J]. SIAM J Matrix Anal and Appl, 1989,10(10):533~541. [10]Ji-guang S. Sensitivity analysis of multiple eigenvalues[J].Journal of Computational Mathematics,1988,6(1):28~38. [11]Fleming W H. 多元函数(上册)[M] 庄亚栋译 北京:人民教育出版社,1982 . [12]Li Shu, Feng Taihua, Fan Xuji. Higher order sensitivities in structural static design[J]. Applied Mathematics and Mechanics, 1997,18(4):393~398. [13]Wang B P. Improved approximate methods for computing eigenvector derivatives in structural dynamics[J]. AIAA Journal, 1991,29(6):1018~1020.