Generalized transfer stiffness coefficient method using the graph theory

Yasuhiro Bonkobara, Takahiro Kondou, Takashi Ayabe, Myung Soo Choi

Research output: Contribution to journalReview article

Abstract

The generalized transfer stiffness coefficient method using the graph theory is developed in order to improve the applicability of the transfer stiffness coefficient method. In the new method, an analytical model is expresed by a signal-flow graph, and the graph is contracted according to the series and parallel contraction rules. The computational complexity and the memory requirement for the contraction process are both minimized by choosing the optimal contraction route. In addition, it is possible to develop the data-driving program which is applicable to various structures without updating the source program. An algorithm based on the present method is formulated for free and forced vibration analyses of a two-dimensional framework structure. Furthermore, a treatment for applying to a three-dimensional framework structure is described in brief. The validity of the present algorithm is confirmed by the numerical computational results.

Original languageEnglish
Pages (from-to)3343-3350
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume71
Issue number12
Publication statusPublished - Dec 2005
Externally publishedYes

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Graph theory
Stiffness
Signal flow graphs
Analytical models
Computational complexity
Data storage equipment

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

Generalized transfer stiffness coefficient method using the graph theory. / Bonkobara, Yasuhiro; Kondou, Takahiro; Ayabe, Takashi; Choi, Myung Soo.

In: Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 71, No. 12, 12.2005, p. 3343-3350.

Research output: Contribution to journalReview article

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