Every physical system is described by parameters, and one goal of the present contribution is to study the movements of eigenvalues in the complex plane depending on the system inherent parameters. A main focus lies in tracing the boundary curve which separates unstable from marginally stable domains in the parameter space. Hence, there is no need to study the whole parameter space but a certain subset which can be characterized by a zero eigenvalue. The method is illustrated by means of a static stability problem arising in the study of rotating blades.
- Design Engineering Division and Computers and Information in Engineering Division
A Boundary Tracing Method and Its Application to Inward-Oriented Rotating Cantilever Beam
- Views Icon Views
- Share Icon Share
- Search Site
Gaul, L, & Wagner, N. "A Boundary Tracing Method and Its Application to Inward-Oriented Rotating Cantilever Beam." Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Long Beach, California, USA. September 24–28, 2005. pp. 675-679. ASME. https://doi.org/10.1115/DETC2005-84411
Download citation file: