摘要
In this paper, structural static design is considered as a kind of inverse algebraic eigenvalue problem. It is the most important task for the inverse problem to compute the sensitivities of eigenvalues and eigenvectors. Therefore, a complete set of higher order sensitivity expressions has been presented based on the complex variables theory. These expressions have solid mathematical foundation and practical significance.
In this paper, structural static design is considered as a kind of inverse algebraic eigenvalue problem. It is the most important task for the inverse problem to compute the sensitivities of eigenvalues and eigenvectors. Therefore, a complete set of higher order sensitivity expressions has been presented based on the complex variables theory. These expressions have solid mathematical foundation and practical significance.