噪声与振动控制2017，Vol.37Issue(4)：1-4,46,5.DOI:10.3969/j.issn.1006-1355.2017.04.001
环境激励下Karhunen-Loève变换与模态分解间的关系
Relationship Between Karhunen-Loève Transformation and Modal Decomposition Under Ambient Excitations
摘要
Abstract
As a best transformation based on the correlation function, Karhunen-Loève transformation (KLT) has been paid a wide attention in vibration analysis. However, this method lacks a clear and complete modal interpretation. In view of spatial geometry, the modal decomposition in vibration analysis is a procedure of expanding response signals on the bases of modal shapes, while KLT is a projection procedure of the signals in the space composed by orthogonal KL eigenvectors. This paper discusses the relationship between the KLT and the modal decomposition under ambient excitation. The results show that the KL eigenvectors are approximated to the weighted modal shapes, the KL eigenvalues represent the energy contribution of the corresponding modes, and the KL coefficients converge to the modal coordinate. Finally, conclusion of the analysis is verified by numerical simulation.关键词
振动与波/Karhunen-Loève变换/模态分解/环境激励Key words
vibration and wave/Karhunen-Loève transformation/modal decomposition/ambient excitation分类
数理科学引用本文复制引用
宋贤云,宋汉文..环境激励下Karhunen-Loève变换与模态分解间的关系[J].噪声与振动控制,2017,37(4):1-4,46,5.基金项目
国家自然科学基金资助项目(11272235) （11272235）
