Flutter Solution by Use of Eigenvalues and Eigenvectors of a Complex General Matrix | Zendy

Ju Qiu | Zendy; Qin Sun | Zendy

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Flutter Solution by Use of Eigenvalues and Eigenvectors of a Complex General Matrix

Author(s) -

Ju Qiu,

Qin 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.

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