Beyond the limitations of perturbation methods for real random eigenvalue problems using Exceptional Points and analytic continuation

A numerical method is proposed to approximate the solution of parametric eigenvalue problem when the variability of the parameters exceed the radius of convergence of low order perturbation methods. The radius of convergence of eigenvalue perturbation methods, based on Taylor series, is known to dec...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of sound and vibration Vol. 480; p. 115398
Main Authors:	Ghienne, Martin, Nennig, Benoit
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 18.08.2020 Elsevier Science Ltd Elsevier
Subjects:	Algorithms Approximation Convergence Defective eigenvalue Eigenvalues Engineering Sciences Exceptional point Flutter Mathematical models Mechanics Numerical analysis Numerical methods Numerical models Parameters Parametric eigenvalue problem Perturbation methods Puiseux series Robustness (mathematics) Rotating machinery Singularities Structural mechanics Taylor series Uncertainty propagation Veering Vibration Vibrations Waveguides Veering Uncertainty propagation Exceptional point Defective eigenvalue Puiseux series Parametric eigenvalue problem defective eigenvalue parametric eigenvalue problem
ISSN:	0022-460X, 1095-8568
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!