Open AccessFlutter Solution by Use of Eigenvalues and Eigenvectors of a Complex General Matrix
Author(s) -
Jianying Qiu,
Qi Sun
Publication year - 2009
Publication title -
modern applied science
Language(s) - English
Resource type - Journals
eISSN - 1913-1852
pISSN - 1913-1844
DOI - 10.5539/mas.v3n10p42
Subject(s) - eigenvalues and eigenvectors , flutter , defective matrix , matrix differential equation , eigenvalues and eigenvectors of the second derivative , eigenvalue perturbation , modal matrix , matrix (chemical analysis) , mathematics , mathematical analysis , spectrum of a matrix , diagonalizable matrix , symmetric matrix , physics , materials science , quantum mechanics , aerodynamics , mechanics , composite material
Flutter equations in frequency domain, is solved by use of solutions of eigenvalues and eigenvectors of a real matrix in a state-space form. However, using a complex general matrix to compute eigenvalues and eigenvectors directly analyzes the flutter frequencies and flutter speeds. Furthermore, eigenvalues and eigenvectors of a complex general matrix are derived in detail. Finally, according to the solution principle of eigenvalues and eigenvectors of a complex general matrix, a practical flutter problem is solved through P-K method.