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

Abstract

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.