| Presentation | 2005-12-16 Global Representation of Periodic Solutions Appearing in Zero-Stiffness Vibro-Impact System Hitoshi IMAMURA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Exact derivation method of all periodic solutions for zero stiffness forced vibro-impact systems is proposed. First, specific initial condition which make solution periodize is determined using pseudo-feedback approach. By means of substitution this initial value into a globalized general solution, global function form of all periodic solutions includes symmetric and asymmetric types can be represented by superposition of periodic stationary solution of base linear system, finite number of weighted summation of periodic functions caused by impact nonlinearity and their constants parts. Two types of invariant relations for quantity of periodic solution are also derived. Finally, numerical simulation calculating typical asymmetric periodic solution is perfomed. The validity of the proposed method is confirmed. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Nonlinear Vibration / Piecewise Linear System / Vibro-Impact System / Global Representation / Self Reference / Periodic Soluion / Infinity / RiemannζFunction |
| Paper # | NLP2005-92 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2005/12/9(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) | Global Representation of Periodic Solutions Appearing in Zero-Stiffness Vibro-Impact System |
| Sub Title (in English) | |
| Keyword(1) | Nonlinear Vibration |
| Keyword(2) | Piecewise Linear System |
| Keyword(3) | Vibro-Impact System |
| Keyword(4) | Global Representation |
| Keyword(5) | Self Reference |
| Keyword(6) | Periodic Soluion |
| Keyword(7) | Infinity |
| Keyword(8) | RiemannζFunction |
| 1st Author's Name | Hitoshi IMAMURA |
| 1st Author's Affiliation | Faculty of Engineering, Ibaraki University() |
| Date | 2005-12-16 |
| Paper # | NLP2005-92 |
| Volume (vol) | vol.105 |
| Number (no) | 483 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |