EIGENSOLUTION REANALYSIS OF MODIFIED STRUCTURES USING PERTURBATIONS AND RAYLEIGH QUOTIENTS

Authors
CHEN SH SONG DT MA AJ
Citation
Sh. Chen et al., EIGENSOLUTION REANALYSIS OF MODIFIED STRUCTURES USING PERTURBATIONS AND RAYLEIGH QUOTIENTS, Communications in numerical methods in engineering, 10(2), 1994, pp. 111-119
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,Engineering
Journal title
Communications in numerical methods in engineering → ACNP
ISSN journal
10698299
Volume
10
Issue
2
Year of publication
1994
Pages
111 - 119
Database
ISI
SICI code
1069-8299(1994)10:2<111:EROMSU>2.0.ZU;2-E
Abstract
A new eigensolution reanalysis method for modified structures is devel oped and presented based on the usual first-order perturbation scheme and the Rayleigh quotients. By this method, the accuracies of the eige nsolutions of the modified structures computed by perturbation methods are improved. A numerical example is presented and the accuracies of the usual first-order perturbation method, second-order perturbation m ethod, William B. Bickford method and the proposed method are compared .