𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Iterative modal perturbation and reanalysis of eigenvalue problem

✍ Scribed by Liu, X. L. ;Oliveira, C. S.

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
146 KB
Volume
19
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper presents an examination of the methods for the iterative modal perturbation and the application of these methods to the reanalysis of the eigenvalue problem. The iteration is based on the first‐order modal perturbation. In two examples, it is shown that the iterative analysis has the advantage of accuracy over the addition of higher‐order perturbations and it is an appropriate approach for the reanalysis of the eigenvalue problem in terms of accuracy and computational efficiency. Copyright Β© 2003 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Accurate modal perturbation in non-self-
Accurate modal perturbation in non-self-adjoint eigenvalue problem
✍ Liu, X. L. πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 104 KB

## Abstract This paper presents an algorithm for the accurate modal perturbation analysis in the non‐self‐adjoint eigenvalue problem. Complete perturbation items are obtained from the given straightforward process, satisfying two conditions in a modal analysis: the eigenvalue equations and normalit

EIGENVALUE REANALYSIS OF STRUCTURES USIN
EIGENVALUE REANALYSIS OF STRUCTURES USING PERTURBATIONS AND PADÉ APPROXIMATION
✍ XIAOWEI YANG; SUHUAN CHEN; BAISHENG WU πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 206 KB

Based on the usual perturbation and PadeH approximation, a new eigenvalue reanalysis method for modi"ed structures is developed in this paper. By this method, the accuracy of the eigenvalues and varying ranges of the parameters of the structures are improved. As an application of the method, a numer

A Singular Perturbation Analysis Of Eige
A Singular Perturbation Analysis Of Eigenvalue Veering And Modal Sensitivity In Perturbed Linear Periodic Systems
✍ G.S. Happawana; A.K. Bajaj; O.D.I. Nwokah πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 491 KB

An investigation into the eigenvalue loci veering and modal sensitivity is presented for mistuned structural systems. Examples from both the weakly coupled uniaxial component systems and the cyclic symmetric systems are considered. The analysis is based on singular perturbation techniques. It is sho

Perturbation Method For The Eigenvalue P
Perturbation Method For The Eigenvalue Problem Of Lightly Damped Systems
✍ M.K. Kwak πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 169 KB

An efficient method for the determination of the eigenvalues and eigenvectors of lightly damped systems is developed by means of a perturbation technique. The second order matrix differential equation containing mass, stiffness and damping matrices is normally transformed into a first-order state eq

COMPARING THE PERTURBED EIGENSOLUTIONS O
COMPARING THE PERTURBED EIGENSOLUTIONS OF A GENERALIZED AND A STANDARD EIGENVALUE PROBLEM
✍ P.D. CHA; W. GU πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 132 KB

A frequently encountered scenario in structural dynamics is determining the changes in the eigensolution of a system after certain modi"cations are introduced. Clearly, if these modi"cations are substantial, then a new analysis and computational cycle are necessary in order to compute the new eigend