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 |
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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 journal › Article
}
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 -