NUMERICAL METHOD FOR FREE VIBRATION ANALYSIS OF STRUCTURES WITH SMALL DESIGN CHANGES - (2ND REPORT: ANALYSIS OF DEGENERATE OR NEARLY DEGENERATE CASES BY A SUBSPACE TECHNIQUE).

Fumio Kikuchi, Tatsuhiko Aizawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper presents a numerical method for free vibration analysis of structures with small design changes or perturbations. The proposed method is an extension of the iteration scheme. A subspace technique is employed to deal with variation of degenerate or nearly degenerate eigenvalues of the unperturbed problems. The algorithm is designed such that it can be easily implemented in large-scale finite element computations.

Original languageEnglish
Pages (from-to)1733-1740
Number of pages8
JournalBulletin of the JSME
Volume28
Issue number242
Publication statusPublished - 1985 Aug
Externally publishedYes

Fingerprint

Vibration analysis
Numerical methods

ASJC Scopus subject areas

  • Engineering(all)

Cite this

NUMERICAL METHOD FOR FREE VIBRATION ANALYSIS OF STRUCTURES WITH SMALL DESIGN CHANGES - (2ND REPORT : ANALYSIS OF DEGENERATE OR NEARLY DEGENERATE CASES BY A SUBSPACE TECHNIQUE). / Kikuchi, Fumio; Aizawa, Tatsuhiko.

In: Bulletin of the JSME, Vol. 28, No. 242, 08.1985, p. 1733-1740.

Research output: Contribution to journalArticle

@article{bb0e4b72d2104c0eafee457b88cb2ea8,
title = "NUMERICAL METHOD FOR FREE VIBRATION ANALYSIS OF STRUCTURES WITH SMALL DESIGN CHANGES - (2ND REPORT: ANALYSIS OF DEGENERATE OR NEARLY DEGENERATE CASES BY A SUBSPACE TECHNIQUE).",
abstract = "This paper presents a numerical method for free vibration analysis of structures with small design changes or perturbations. The proposed method is an extension of the iteration scheme. A subspace technique is employed to deal with variation of degenerate or nearly degenerate eigenvalues of the unperturbed problems. The algorithm is designed such that it can be easily implemented in large-scale finite element computations.",
author = "Fumio Kikuchi and Tatsuhiko Aizawa",
year = "1985",
month = "8",
language = "English",
volume = "28",
pages = "1733--1740",
journal = "Bulletin of the JSME",
issn = "0021-3764",
publisher = "Society of Mechanical Engineers",
number = "242",

}

TY - JOUR

T1 - NUMERICAL METHOD FOR FREE VIBRATION ANALYSIS OF STRUCTURES WITH SMALL DESIGN CHANGES - (2ND REPORT

T2 - ANALYSIS OF DEGENERATE OR NEARLY DEGENERATE CASES BY A SUBSPACE TECHNIQUE).

AU - Kikuchi, Fumio

AU - Aizawa, Tatsuhiko

PY - 1985/8

Y1 - 1985/8

N2 - This paper presents a numerical method for free vibration analysis of structures with small design changes or perturbations. The proposed method is an extension of the iteration scheme. A subspace technique is employed to deal with variation of degenerate or nearly degenerate eigenvalues of the unperturbed problems. The algorithm is designed such that it can be easily implemented in large-scale finite element computations.

AB - This paper presents a numerical method for free vibration analysis of structures with small design changes or perturbations. The proposed method is an extension of the iteration scheme. A subspace technique is employed to deal with variation of degenerate or nearly degenerate eigenvalues of the unperturbed problems. The algorithm is designed such that it can be easily implemented in large-scale finite element computations.

UR - http://www.scopus.com/inward/record.url?scp=0022112489&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022112489&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0022112489

VL - 28

SP - 1733

EP - 1740

JO - Bulletin of the JSME

JF - Bulletin of the JSME

SN - 0021-3764

IS - 242

ER -