NON-LINEAR DYNAMIC RESPONSE ANALYSIS OF STRUCTURES BY THE INCREMENTAL TRANSFER MATRIX METHOD.

Naotaka Hirami, Katsumi Hirano, Hiroshi Yamakawa

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The purpose of this paper is to present a method for analyzing the dynamic non-linear response of complicated structures. The non-linear dynamic behavior of complicated structures has been generally analyzed by direct integration of the simultaneous differential equations of motion. However, the procedure has serious problems in computation time and memory capacity as the number of freedom increases. In order to solve these problems the Incremental Transfer Matrix Method is introduced, and the Midpoint Runge-Kutta scheme is also used to improve the accuracy. The validity and effectiveness of the method are then confirmed through several numerical examples of beams, rotors, and a medium-to-large-size two-spool fan-jet engine.

Original languageEnglish
Pages (from-to)3168-3174
Number of pages7
JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume52
Issue number484
Publication statusPublished - 1986 Dec
Externally publishedYes

Fingerprint

Transfer matrix method
Dynamic response
Jet engines
Reels
Fans
Equations of motion
Differential equations
Rotors
Data storage equipment

ASJC Scopus subject areas

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

Cite this

NON-LINEAR DYNAMIC RESPONSE ANALYSIS OF STRUCTURES BY THE INCREMENTAL TRANSFER MATRIX METHOD. / Hirami, Naotaka; Hirano, Katsumi; Yamakawa, Hiroshi.

In: Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 52, No. 484, 12.1986, p. 3168-3174.

Research output: Contribution to journalArticle

@article{0f9edfd29dd04df584c3f1bea39e18ea,
title = "NON-LINEAR DYNAMIC RESPONSE ANALYSIS OF STRUCTURES BY THE INCREMENTAL TRANSFER MATRIX METHOD.",
abstract = "The purpose of this paper is to present a method for analyzing the dynamic non-linear response of complicated structures. The non-linear dynamic behavior of complicated structures has been generally analyzed by direct integration of the simultaneous differential equations of motion. However, the procedure has serious problems in computation time and memory capacity as the number of freedom increases. In order to solve these problems the Incremental Transfer Matrix Method is introduced, and the Midpoint Runge-Kutta scheme is also used to improve the accuracy. The validity and effectiveness of the method are then confirmed through several numerical examples of beams, rotors, and a medium-to-large-size two-spool fan-jet engine.",
author = "Naotaka Hirami and Katsumi Hirano and Hiroshi Yamakawa",
year = "1986",
month = "12",
language = "English",
volume = "52",
pages = "3168--3174",
journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
issn = "0387-5024",
publisher = "Japan Society of Mechanical Engineers",
number = "484",

}

TY - JOUR

T1 - NON-LINEAR DYNAMIC RESPONSE ANALYSIS OF STRUCTURES BY THE INCREMENTAL TRANSFER MATRIX METHOD.

AU - Hirami, Naotaka

AU - Hirano, Katsumi

AU - Yamakawa, Hiroshi

PY - 1986/12

Y1 - 1986/12

N2 - The purpose of this paper is to present a method for analyzing the dynamic non-linear response of complicated structures. The non-linear dynamic behavior of complicated structures has been generally analyzed by direct integration of the simultaneous differential equations of motion. However, the procedure has serious problems in computation time and memory capacity as the number of freedom increases. In order to solve these problems the Incremental Transfer Matrix Method is introduced, and the Midpoint Runge-Kutta scheme is also used to improve the accuracy. The validity and effectiveness of the method are then confirmed through several numerical examples of beams, rotors, and a medium-to-large-size two-spool fan-jet engine.

AB - The purpose of this paper is to present a method for analyzing the dynamic non-linear response of complicated structures. The non-linear dynamic behavior of complicated structures has been generally analyzed by direct integration of the simultaneous differential equations of motion. However, the procedure has serious problems in computation time and memory capacity as the number of freedom increases. In order to solve these problems the Incremental Transfer Matrix Method is introduced, and the Midpoint Runge-Kutta scheme is also used to improve the accuracy. The validity and effectiveness of the method are then confirmed through several numerical examples of beams, rotors, and a medium-to-large-size two-spool fan-jet engine.

UR - http://www.scopus.com/inward/record.url?scp=0022914109&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022914109&partnerID=8YFLogxK

M3 - Article

VL - 52

SP - 3168

EP - 3174

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

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

SN - 0387-5024

IS - 484

ER -