NUMERICAL METHOD FOR FREE VIBRATION ANALYSIS OF STRUCTURES WITH SMALL DESIGN CHANGES.

Fumio Kikuchi, Tatsuhiko Aizawa

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Small design changes are usually repeated at design phase of structures, and it appears to be of practical significance to develop effective numerical methods for analysis of free vibration problems of structures with small perturbations. This paper presents a numerical method for perturbation analysis of matrix eigenvalue problems, where the eigenpairs necessary to be considered are assumed to be non-degenerate in unperturbed states. The proposed method is based on an iteration scheme combined with the use of generalized inverses of singular matrices. The scheme is designed to be easily implemented on large-scale finite element programs. To see effectiveness and fundamental properties of the proposed method, some numerical results are given for lateral vibrations of cantilever beams and circular plates.

Original languageEnglish
Pages (from-to)1479-1486
Number of pages8
JournalBulletin of the JSME
Volume27
Issue number229
DOIs
Publication statusPublished - 1984 Jan 1

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'NUMERICAL METHOD FOR FREE VIBRATION ANALYSIS OF STRUCTURES WITH SMALL DESIGN CHANGES.'. Together they form a unique fingerprint.

  • Cite this