Application of Transfer Influence Coefficient Method to Inverse Iteration Method

Takumi Inoue, Takahiro Kondou, Atsuo Sueoka

研究成果: ジャーナルへの寄稿記事

抄録

The inverse iteration method is one of the most effective methods of eigenvalue analysis and is suited for both vibration and structural analyses. It can compute eigenvalues in the order of increasing absolute value, the convergence of iterative computation can be accelerated by applying the technique of origin shift. However, the inverse iteration method must be able to solve a large-sized simultaneous linear algebraic equation in every iterative process. In order to improve the computation accuracy and the computation speed of the inverse iteration method, we introduce the concept of the transfer influence coefficient method into the iterative process. The transfer influence coefficient method is advantageous in that it can solve simultaneous linear algebraic equations, and the memory size required in the computation is extremely decreased. The present method is applied to both the undamped and the damped systems.

元の言語英語
ページ(範囲)783-790
ページ数8
ジャーナルNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
61
発行部数583
DOI
出版物ステータス出版済み - 1 1 1995
外部発表Yes

Fingerprint

Linear equations
Data storage equipment

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

これを引用

Application of Transfer Influence Coefficient Method to Inverse Iteration Method. / Inoue, Takumi; Kondou, Takahiro; Sueoka, Atsuo.

:: Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, 巻 61, 番号 583, 01.01.1995, p. 783-790.

研究成果: ジャーナルへの寄稿記事

@article{c69a252ec4e34be69c60fbf02f148d2c,
title = "Application of Transfer Influence Coefficient Method to Inverse Iteration Method",
abstract = "The inverse iteration method is one of the most effective methods of eigenvalue analysis and is suited for both vibration and structural analyses. It can compute eigenvalues in the order of increasing absolute value, the convergence of iterative computation can be accelerated by applying the technique of origin shift. However, the inverse iteration method must be able to solve a large-sized simultaneous linear algebraic equation in every iterative process. In order to improve the computation accuracy and the computation speed of the inverse iteration method, we introduce the concept of the transfer influence coefficient method into the iterative process. The transfer influence coefficient method is advantageous in that it can solve simultaneous linear algebraic equations, and the memory size required in the computation is extremely decreased. The present method is applied to both the undamped and the damped systems.",
author = "Takumi Inoue and Takahiro Kondou and Atsuo Sueoka",
year = "1995",
month = "1",
day = "1",
doi = "10.1299/kikaic.61.783",
language = "English",
volume = "61",
pages = "783--790",
journal = "Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "The Japan Society of Mechanical Engineers",
number = "583",

}

TY - JOUR

T1 - Application of Transfer Influence Coefficient Method to Inverse Iteration Method

AU - Inoue, Takumi

AU - Kondou, Takahiro

AU - Sueoka, Atsuo

PY - 1995/1/1

Y1 - 1995/1/1

N2 - The inverse iteration method is one of the most effective methods of eigenvalue analysis and is suited for both vibration and structural analyses. It can compute eigenvalues in the order of increasing absolute value, the convergence of iterative computation can be accelerated by applying the technique of origin shift. However, the inverse iteration method must be able to solve a large-sized simultaneous linear algebraic equation in every iterative process. In order to improve the computation accuracy and the computation speed of the inverse iteration method, we introduce the concept of the transfer influence coefficient method into the iterative process. The transfer influence coefficient method is advantageous in that it can solve simultaneous linear algebraic equations, and the memory size required in the computation is extremely decreased. The present method is applied to both the undamped and the damped systems.

AB - The inverse iteration method is one of the most effective methods of eigenvalue analysis and is suited for both vibration and structural analyses. It can compute eigenvalues in the order of increasing absolute value, the convergence of iterative computation can be accelerated by applying the technique of origin shift. However, the inverse iteration method must be able to solve a large-sized simultaneous linear algebraic equation in every iterative process. In order to improve the computation accuracy and the computation speed of the inverse iteration method, we introduce the concept of the transfer influence coefficient method into the iterative process. The transfer influence coefficient method is advantageous in that it can solve simultaneous linear algebraic equations, and the memory size required in the computation is extremely decreased. The present method is applied to both the undamped and the damped systems.

UR - http://www.scopus.com/inward/record.url?scp=85024280985&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85024280985&partnerID=8YFLogxK

U2 - 10.1299/kikaic.61.783

DO - 10.1299/kikaic.61.783

M3 - Article

AN - SCOPUS:85024280985

VL - 61

SP - 783

EP - 790

JO - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 583

ER -