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

Ju Qiu, Qin Sun


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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DOI: https://doi.org/10.5539/mas.v3n10p42

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