RESEARCHES ON TWO EXPRESSIONS ABOUT COMPLEX EIGENVALUE

doi:10.6052/0459-1879-1997-2-1995-212

RESEARCHES ON TWO EXPRESSIONS ABOUT COMPLEX EIGENVALUE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 167-174. DOI: 10.6052/0459-1879-1997-2-1995-212

Citation:

RESEARCHES ON TWO EXPRESSIONS ABOUT COMPLEX EIGENVALUE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 167-174. DOI: 10.6052/0459-1879-1997-2-1995-212

Citation:

RESEARCHES ON TWO EXPRESSIONS ABOUT COMPLEX EIGENVALUE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 167-174. DOI: 10.6052/0459-1879-1997-2-1995-212

RESEARCHES ON TWO EXPRESSIONS ABOUT COMPLEX EIGENVALUE

Graphical Abstract

Graphical Abstract

Abstract

Abstract

It is very interesting to study eigenvalues of a linear system by analyzing the properties of its mass matrix, stiffness matrix, damping matrix and so on. After a brief review on the complex mode theory, this paper developed a new set equations about corresponding matrices by recalling the orthogonality between the complex modes of a damped gyroscopic linear system. Based upon this, the applicability of two popular expressions about complex eigenvalues was investigated. The emphasis was given to the questio...