Forced Vibration Analysis of a Straight-Line Beam Structure with Nonlinear Support Elements (1st Report, Suggestion of Incremental Transfer Stiffness Coefficient Method)

Takahiro Kondou, Takumi Sasaki, Takashi Ayabe

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The incremental transfer stiffness coefficient method is developed in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. The present method is based on the concepts of the method of harmonic balance, the transfer stiffness coefficient method and the incremental method. Firstly, in the present method, the structure treated is separated into the linear parts and the nonlinear elements, and the inner degrees of freedom of the linear parts are eliminated from the process of successive approximation for the solution by applying the transfer stiffness coefficient method. Secondly, the computation technique as the transfer influence coefficient method is applied to the above process to reduce the computation cost remarkably. As a fundamental example, an algorithm based on the present method is formulated to analyze the in-plane flexural forced vibration of the straight-line beam structure supported by the nonlinear base support elements.

Original languageEnglish
Pages (from-to)906-913
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume67
Issue number656
DOIs
Publication statusPublished - Jan 1 2001

Fingerprint

Vibration analysis
Stiffness
Costs

All Science Journal Classification (ASJC) codes

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

Cite this

@article{26254279f4dc4422bb0635cf23b8b8e0,
title = "Forced Vibration Analysis of a Straight-Line Beam Structure with Nonlinear Support Elements (1st Report, Suggestion of Incremental Transfer Stiffness Coefficient Method)",
abstract = "The incremental transfer stiffness coefficient method is developed in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. The present method is based on the concepts of the method of harmonic balance, the transfer stiffness coefficient method and the incremental method. Firstly, in the present method, the structure treated is separated into the linear parts and the nonlinear elements, and the inner degrees of freedom of the linear parts are eliminated from the process of successive approximation for the solution by applying the transfer stiffness coefficient method. Secondly, the computation technique as the transfer influence coefficient method is applied to the above process to reduce the computation cost remarkably. As a fundamental example, an algorithm based on the present method is formulated to analyze the in-plane flexural forced vibration of the straight-line beam structure supported by the nonlinear base support elements.",
author = "Takahiro Kondou and Takumi Sasaki and Takashi Ayabe",
year = "2001",
month = "1",
day = "1",
doi = "10.1299/kikaic.67.906",
language = "English",
volume = "67",
pages = "906--913",
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 = "656",

}

TY - JOUR

T1 - Forced Vibration Analysis of a Straight-Line Beam Structure with Nonlinear Support Elements (1st Report, Suggestion of Incremental Transfer Stiffness Coefficient Method)

AU - Kondou, Takahiro

AU - Sasaki, Takumi

AU - Ayabe, Takashi

PY - 2001/1/1

Y1 - 2001/1/1

N2 - The incremental transfer stiffness coefficient method is developed in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. The present method is based on the concepts of the method of harmonic balance, the transfer stiffness coefficient method and the incremental method. Firstly, in the present method, the structure treated is separated into the linear parts and the nonlinear elements, and the inner degrees of freedom of the linear parts are eliminated from the process of successive approximation for the solution by applying the transfer stiffness coefficient method. Secondly, the computation technique as the transfer influence coefficient method is applied to the above process to reduce the computation cost remarkably. As a fundamental example, an algorithm based on the present method is formulated to analyze the in-plane flexural forced vibration of the straight-line beam structure supported by the nonlinear base support elements.

AB - The incremental transfer stiffness coefficient method is developed in order to analyze the periodic steady-state vibrations of a large-scale structure having locally strong nonlinear elements. The present method is based on the concepts of the method of harmonic balance, the transfer stiffness coefficient method and the incremental method. Firstly, in the present method, the structure treated is separated into the linear parts and the nonlinear elements, and the inner degrees of freedom of the linear parts are eliminated from the process of successive approximation for the solution by applying the transfer stiffness coefficient method. Secondly, the computation technique as the transfer influence coefficient method is applied to the above process to reduce the computation cost remarkably. As a fundamental example, an algorithm based on the present method is formulated to analyze the in-plane flexural forced vibration of the straight-line beam structure supported by the nonlinear base support elements.

UR - http://www.scopus.com/inward/record.url?scp=85024448545&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85024448545&partnerID=8YFLogxK

U2 - 10.1299/kikaic.67.906

DO - 10.1299/kikaic.67.906

M3 - Article

AN - SCOPUS:85024448545

VL - 67

SP - 906

EP - 913

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 - 656

ER -