Calculation of Eigenvalue and Eigenvector Derivatives for Algebraic Flutter and Divergence Eigenproblems

A general method for the determination of eigenvalue and eigenvector derivatives is proposed, the main idea of which is to regard the eigenproblem as a nonlinear system of equations once a normalization condition of the eigenvectors has been added. The method requires only the eigenvalue and the right eigenvector under consideration, and the eigenvalue and eigenvector derivatives are all determined at once. When applied to flutter problems, the method affords an extremely efficient method, and one of the very few to allow solution of the flutter equation directly without tracking damped solutions at various speeds.