DYNAMIC RESPONSE ANALYSIS OF STRUCTURES WITH LARGE DEGREES OF FREEDOM BY STEP-BY-STEP TRANSFER MATRIX METHOD.

Hiroshi Yamakawa, Tetsuya Ohnishi

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A new method of dynamic response analysis, termed ″step-by-step transfer matrix method″ is presented, which can be applied to general dynamic problems. The method needs only small degrees of freedom, nearly equal to those of elements, for dynamic response analysis of structures even though the structures have large degrees of freedom and any algorithm of existing step-by-step integration techniques can be used jointly with much of concepts of the standard transfer matrix method. Some significant relations: (a) a driving point stiffness matrix, (b) an absorbing matrix and (c) a recurrence formula for a driving point stiffness matrix are developed to treat various types of structural systems. Several numerical examples are obtained and comparisons of them with experiments and results by the large matrix method are made to examine the validity and effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)109-116
Number of pages8
JournalBulletin of the JSME
Volume26
Issue number211
Publication statusPublished - 1983 Jan
Externally publishedYes

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Transfer matrix method
Stiffness matrix
Dynamic response
Degrees of freedom (mechanics)
Experiments

ASJC Scopus subject areas

  • Engineering(all)

Cite this

DYNAMIC RESPONSE ANALYSIS OF STRUCTURES WITH LARGE DEGREES OF FREEDOM BY STEP-BY-STEP TRANSFER MATRIX METHOD. / Yamakawa, Hiroshi; Ohnishi, Tetsuya.

In: Bulletin of the JSME, Vol. 26, No. 211, 01.1983, p. 109-116.

Research output: Contribution to journalArticle

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