Abstract
In the previous report, the overall properties of self-synchronized phenomena generated in rotortype self-excited oscillators were experimentally and analytically clarified using two types of system constructed from oscillators and coupled mass-blocks. The relationship between stable self-synchronized solutions and the linear natural frequencies of a spring-mass system in each system was also examined. For clarification of the occurrence mechanism, it is important to undertake an investigation that is based on the nonlinear vibration characteristics of the systems. Nonlinear normal modes have the potential to be useful tools for such an investigation, because the nonlinear normal modes and the self-synchronized phenomena are both periodic vibrations in nonlinear systems with many degrees of freedom. However, there is a very important difference, in that the former are free vibrations in conservative systems and the latter are self-excited vibrations in nonconservative systems, so that a definite relationship between them is not obvious. This report examines the relationship using the same systems treated in the previous report. Computational results demonstrate that many characteristics of the self-synchronized phenomena can be explained by the nonlinear normal modes.
| Original language | English |
|---|---|
| Pages (from-to) | 1021-1028 |
| Number of pages | 8 |
| Journal | Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |
| Volume | 73 |
| Issue number | 4 |
| Publication status | Published - Apr 1 2007 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering
Cite this
Self-synchronized phenomena generated in rotor-type oscillators (2nd report, investigation using nonlinear normal modes). / Mori, Hiroki; Bonkobara, Yasuhiro; Kondou, Takahiro; Ayabe, Takashi.
In: Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 73, No. 4, 01.04.2007, p. 1021-1028.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Self-synchronized phenomena generated in rotor-type oscillators (2nd report, investigation using nonlinear normal modes)
AU - Mori, Hiroki
AU - Bonkobara, Yasuhiro
AU - Kondou, Takahiro
AU - Ayabe, Takashi
PY - 2007/4/1
Y1 - 2007/4/1
N2 - In the previous report, the overall properties of self-synchronized phenomena generated in rotortype self-excited oscillators were experimentally and analytically clarified using two types of system constructed from oscillators and coupled mass-blocks. The relationship between stable self-synchronized solutions and the linear natural frequencies of a spring-mass system in each system was also examined. For clarification of the occurrence mechanism, it is important to undertake an investigation that is based on the nonlinear vibration characteristics of the systems. Nonlinear normal modes have the potential to be useful tools for such an investigation, because the nonlinear normal modes and the self-synchronized phenomena are both periodic vibrations in nonlinear systems with many degrees of freedom. However, there is a very important difference, in that the former are free vibrations in conservative systems and the latter are self-excited vibrations in nonconservative systems, so that a definite relationship between them is not obvious. This report examines the relationship using the same systems treated in the previous report. Computational results demonstrate that many characteristics of the self-synchronized phenomena can be explained by the nonlinear normal modes.
AB - In the previous report, the overall properties of self-synchronized phenomena generated in rotortype self-excited oscillators were experimentally and analytically clarified using two types of system constructed from oscillators and coupled mass-blocks. The relationship between stable self-synchronized solutions and the linear natural frequencies of a spring-mass system in each system was also examined. For clarification of the occurrence mechanism, it is important to undertake an investigation that is based on the nonlinear vibration characteristics of the systems. Nonlinear normal modes have the potential to be useful tools for such an investigation, because the nonlinear normal modes and the self-synchronized phenomena are both periodic vibrations in nonlinear systems with many degrees of freedom. However, there is a very important difference, in that the former are free vibrations in conservative systems and the latter are self-excited vibrations in nonconservative systems, so that a definite relationship between them is not obvious. This report examines the relationship using the same systems treated in the previous report. Computational results demonstrate that many characteristics of the self-synchronized phenomena can be explained by the nonlinear normal modes.
UR - http://www.scopus.com/inward/record.url?scp=34547237732&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547237732&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:34547237732
VL - 73
SP - 1021
EP - 1028
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 - 4
ER -