A power series expansion method based on frequency response function matrix for sensitivity analysis of viscously damped system

2017 3rd International Conference on Energy, Environment and Materials Science

能源学;生态环境科学;材料科学

Shen, Jingfang^1,2 ; Diao, Yuxian^1,2

Department of Science, Huazhong Agricultural University, Wuhan

430070, China^1

School of Mathematics and Statistics, Xi' An Jiaotong University, Xi' an

710000, China^2

关键词: Damped systems;    Eigen-solutions;    Frequency response function matrixes;    High order mode;    Modal method;    Modal truncation;    Power series expansions;    System matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/94/1/012007/pdf
DOI  :  10.1088/1755-1315/94/1/012007

来源: IOP

【 摘 要 】

The modal method represents the derivative of the eigenvector as a superposition of all modes. Although this method is relatively effective, it has a problem of modal truncation error. In this paper, based on the two kinds of calculation methods of frequency response function matrix, the transformation relationship between system matrices and eigensolutions is proposed. Meanwhile the transition from the high-order modes to the low-order modes is emphasized. Then the conversion relationship is applied to reduce the modal truncation error, and finally a more accurate method for sensitivity analysis is derived.