| Presentation | 2010-07-13 Shooting Method for Analysis of Stability in Mechanical System with Impact Vibration Shota HIRASHIMA, Shu KARUBE, Takuji KOUSAKA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper proposes the shooting method for analysis of stability in mechanical system with impact vibration. First, we define the Poincare map by using the boundary and the function with jump, and derive the Jacobian matrix of the Poincare map. Here, the condition of the fixed point and the characteristic equation are showed. Then, the fixed point and stability of the fixed point are completely calculated by an appropriate numerical method using Jacobian matrix. In addition, we show a rigid overhead wire-pantograph system and explain its dynamics. Also, the system is two-dimensional impact oscillator to apply our method. Finally, above method is verified by the calculation result of the characteristic multiplier for the fixed point. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Impact oscillator / Stability / Shooting method / Moving border |
| Paper # | NLP2010-41 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2010/7/5(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Shooting Method for Analysis of Stability in Mechanical System with Impact Vibration |
| Sub Title (in English) | |
| Keyword(1) | Impact oscillator |
| Keyword(2) | Stability |
| Keyword(3) | Shooting method |
| Keyword(4) | Moving border |
| 1st Author's Name | Shota HIRASHIMA |
| 1st Author's Affiliation | Faculty of Engineering, Oita University() |
| 2nd Author's Name | Shu KARUBE |
| 2nd Author's Affiliation | Oita National College of Technology |
| 3rd Author's Name | Takuji KOUSAKA |
| 3rd Author's Affiliation | Faculty of Engineering, Oita University |
| Date | 2010-07-13 |
| Paper # | NLP2010-41 |
| Volume (vol) | vol.110 |
| Number (no) | 122 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |