Sub-Interval Perturbation Method for Standard Eigenvalue Problem

Abstract

Solution of finite element analysis under dynamic condition led to eigenvalue problems. Generally we have crisp values of material properties for structural dynamic problems. As a result of errors in measurements, observations, calculations or due to maintenance induced errors etc. we may have uncertain bounds which may be modeled through interval analysis. So, this paper deals with sub-interval perturbation procedure for computing upper and lower eigenvalue and eigenvector bounds of standard eigenvalue problem with interval parameters.