Paper Abstract and Keywords |
Presentation |
2023-03-15 14:40
Derivation of Periodic Solutions for Bouncing Ball Systems
-- Structural Analysis using Pseudo-Feedback Approach -- Hitoshi Imamura (Ibaraki Univ.) MSS2022-73 NLP2022-118 |
Abstract |
(in Japanese) |
(See Japanese page) |
(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) |
(in English) |
Piecewise Linear System / Vibro-Impact System / Continuation Method / Psedo-Feedback Form / Periodic Solution / Bouncing Ball System / / |
Reference Info. |
IEICE Tech. Rep., vol. 122, no. 436, NLP2022-118, pp. 58-63, March 2023. |
Paper # |
NLP2022-118 |
Date of Issue |
2023-03-08 (MSS, NLP) |
ISSN |
Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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MSS2022-73 NLP2022-118 |
Conference Information |
Committee |
NLP MSS |
Conference Date |
2023-03-15 - 2023-03-17 |
Place (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2023-03-NLP-MSS |
Language |
Japanese |
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 |
Keyword(7) |
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Keyword(8) |
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1st Author's Name |
Hitoshi Imamura |
1st Author's Affiliation |
Ibaraki University (Ibaraki Univ.) |
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Speaker |
Author-1 |
Date Time |
2023-03-15 14:40:00 |
Presentation Time |
20 minutes |
Registration for |
NLP |
Paper # |
MSS2022-73, NLP2022-118 |
Volume (vol) |
vol.122 |
Number (no) |
no.435(MSS), no.436(NLP) |
Page |
pp.58-63 |
#Pages |
6 |
Date of Issue |
2023-03-08 (MSS, NLP) |
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