| Presentation | 2012-05-28 Calculation Method of Bifurcation Point for the Period-1 solution in an Impact Oscillator with Periodic Function Goki IKEDA, Kazuyuki AIHARA, Takuji KOUSAKA, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a calculation method of the bifurcation point of the period-1 solution for an impact oscillator with periodic function. First, we show a system dynamics. Here, the local section is selected in the state space where the system switch depending on state or time. Next, the Poincare map is constructed for the following analysis. Furthermore, we describe the fixed point and the characteristic equation. Then, the calculating method of the bifurcation point is discussed by solving the simultaneous equation of the fixed point and the characteristic equation. Moreover, derivative of the Poincare map is shown. Finally, we apply the proposed method for a rigid overhead wire-pantograph system and confirm the validity of the method for calculate the bifurcation point in an impact oscillator. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Impact Oscillator / Poincare Map / Bifurcation point |
| Paper # | NLP2012-25 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2012/5/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Calculation Method of Bifurcation Point for the Period-1 solution in an Impact Oscillator with Periodic Function |
| Sub Title (in English) | |
| Keyword(1) | Impact Oscillator |
| Keyword(2) | Poincare Map |
| Keyword(3) | Bifurcation point |
| 1st Author's Name | Goki IKEDA |
| 1st Author's Affiliation | Faculty of Engineering, Oita University() |
| 2nd Author's Name | Kazuyuki AIHARA |
| 2nd Author's Affiliation | Institute of Industrial Science, The University of Tokyo |
| 3rd Author's Name | Takuji KOUSAKA |
| 3rd Author's Affiliation | Faculty of Engineering, Oita University |
| Date | 2012-05-28 |
| Paper # | NLP2012-25 |
| Volume (vol) | vol.112 |
| Number (no) | 69 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |