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

Naotaka Hirami; Katsumi Hirano; Hiroshi Yamakawa

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

Naotaka Hirami, Katsumi Hirano, Hiroshi Yamakawa

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	3168-3174
Number of pages	7
Journal	Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume	52
Issue number	484
Publication status	Published - 1986 Dec
Externally published	Yes

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Industrial and Manufacturing Engineering

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Cite this

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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",

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language = "English",

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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",

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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.

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