Abstract
The concept of the transfer influence coefficient method is extended and modified so that it is applied to the free vibration analysis of systems with variable parameters. In the present modified transfer influence coefficient method, four dynamic coefficient matrices are introduced to analyse the free vibration of a beam with a variable cross-sectional area. Since the solution of every differential equation for the dynamic coefficient matrices has poles in the domain of integration, the numerical integration of the field transfer rule is executed by selecting an adequate differential equation from among them, whose solution is not a pole at every integration point. The results of the simple computational examples on a personal computer demonstrate the validity of the present algorithm; that is, the high numerical accuracy and the high speed of the present method, as compared with the transfer matrix method.
| Original language | English |
|---|---|
| Pages (from-to) | 284-291 |
| Number of pages | 8 |
| Journal | transactions of the japan society of mechanical engineers series c |
| Volume | 56 |
| Issue number | 522 |
| DOIs | |
| Publication status | Published - Jan 1 1990 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering
Cite this
Free Vibration Analysis of Systems with Variable Parameters by the Modified Transfer Influence Coefficient Method (Formulation for a Beam with Variable Cross-Sectional Area). / Kondou, Takahiro; Sueoka, Atsuo; Moon, Deok Hong; Ayabe, Takashi.
In: transactions of the japan society of mechanical engineers series c, Vol. 56, No. 522, 01.01.1990, p. 284-291.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Free Vibration Analysis of Systems with Variable Parameters by the Modified Transfer Influence Coefficient Method (Formulation for a Beam with Variable Cross-Sectional Area)
AU - Kondou, Takahiro
AU - Sueoka, Atsuo
AU - Moon, Deok Hong
AU - Ayabe, Takashi
PY - 1990/1/1
Y1 - 1990/1/1
N2 - The concept of the transfer influence coefficient method is extended and modified so that it is applied to the free vibration analysis of systems with variable parameters. In the present modified transfer influence coefficient method, four dynamic coefficient matrices are introduced to analyse the free vibration of a beam with a variable cross-sectional area. Since the solution of every differential equation for the dynamic coefficient matrices has poles in the domain of integration, the numerical integration of the field transfer rule is executed by selecting an adequate differential equation from among them, whose solution is not a pole at every integration point. The results of the simple computational examples on a personal computer demonstrate the validity of the present algorithm; that is, the high numerical accuracy and the high speed of the present method, as compared with the transfer matrix method.
AB - The concept of the transfer influence coefficient method is extended and modified so that it is applied to the free vibration analysis of systems with variable parameters. In the present modified transfer influence coefficient method, four dynamic coefficient matrices are introduced to analyse the free vibration of a beam with a variable cross-sectional area. Since the solution of every differential equation for the dynamic coefficient matrices has poles in the domain of integration, the numerical integration of the field transfer rule is executed by selecting an adequate differential equation from among them, whose solution is not a pole at every integration point. The results of the simple computational examples on a personal computer demonstrate the validity of the present algorithm; that is, the high numerical accuracy and the high speed of the present method, as compared with the transfer matrix method.
UR - http://www.scopus.com/inward/record.url?scp=0025403404&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0025403404&partnerID=8YFLogxK
U2 - 10.1299/kikaic.56.284
DO - 10.1299/kikaic.56.284
M3 - Article
AN - SCOPUS:0025403404
VL - 56
SP - 284
EP - 291
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 - 522
ER -