Perturbation method for the floquet eigenvalues and stability boundary of periodic linear systems

✍ Scribed by W.-T. Wu; J.H. Griffin; J.A. Wickert

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 636 KB
• Volume: 182
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1994.0195

✦ Synopsis

A multiple parameter perturbation method is developed to determine the Floquet eigenvalues and stability boundary of a linear discrete system that is described by a system of ordinary differential equations with periodic coefficients. In the method, the state of the system is determined by solving a number of decoupled problems and, as a result, implementation of the method is computationally efficient even when the dimension of the system is large. The method is first applied to Mathieu's equation in order to illustrate its application to a relatively straightforward, standard problem. It is then applied to the torsional analysis of a boat's drive train to show application to a large scale system of some practical importance.