Solution and sensitivity analysis of a complex transcendental eigenproblem with pairs of real eigenvaluesThis paper considers complex transcendental eigenvalue problems where one is interested in pairs of eigenvalues that are restricted to take real values only. Such eigenvalue problems arise in dynamic stability analysis of nonconservative physical systems, i.e., flutter analysis of aeroelastic systems. Some available solution methods are discussed and a new method is presented. Two computational approaches are described for analytical evaluation of the sensitivities of these eigenvalues when they are dependent on other parameters. The algorithms presented are illustrated through examples.
Document ID
19910039062
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Murthy, D. V. (NASA Lewis Research Center Cleveland; Toledo, University, OH, United States)