| Presentation | 2023-03-15 Derivation of Periodic Solutions for Bouncing Ball Systems Hitoshi Imamura, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | I propose the exact derivation method of all periodic solutions for forced bouncing ball system that is a kind of zero stiffness vibro-impact oscillator. First, specific initial condition which correct and periodize general solution is determined using pseudo-feedback approach. By means of substitute this initial value into globalized general solution, global form of all periodic solutions which includes symmetric and asymmetric type can be represented by superposion of periodic stationary solution of linear system and finite number of weighted summation of periodic functions. Two types of invariant relations for quantity of periodic solution also derived. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Piecewise Linear System / Vibro-Impact System / Continuation Method / Psedo-Feedback Form / Periodic Solution / Bouncing Ball System |
| Paper # | MSS2022-73,NLP2022-118 |
| Date of Issue | 2023-03-08 (MSS, NLP) |
| Conference Information | |
| Committee | NLP / MSS |
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| Conference Date | 2023/3/15(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Akio Tsuneda(Kumamoto Univ.) / Atsuo Ozaki(Osaka Inst. of Tech.) |
| Vice Chair | Hiroyuki Torikai(Hosei Univ.) / Shingo Yamaguchi(Yamaguchi Univ.) |
| Secretary | Hiroyuki Torikai(Sojo Univ.) / Shingo Yamaguchi(Gifu Univ.) |
| Assistant | Yuichi Yokoi(Nagasaki Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) / Masato Shirai(Shimane Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its Applications |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Derivation of Periodic Solutions for Bouncing Ball Systems |
| Sub Title (in English) | Structural Analysis using Pseudo-Feedback Approach |
| Keyword(1) | Piecewise Linear System |
| Keyword(2) | Vibro-Impact System |
| Keyword(3) | Continuation Method |
| Keyword(4) | Psedo-Feedback Form |
| Keyword(5) | Periodic Solution |
| Keyword(6) | Bouncing Ball System |
| 1st Author's Name | Hitoshi Imamura |
| 1st Author's Affiliation | Ibaraki University(Ibaraki Univ.) |
| Date | 2023-03-15 |
| Paper # | MSS2022-73,NLP2022-118 |
| Volume (vol) | vol.122 |
| Number (no) | MSS-435,NLP-436 |
| Page | pp.pp.58-63(MSS), pp.58-63(NLP), |
| #Pages | 6 |
| Date of Issue | 2023-03-08 (MSS, NLP) |