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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)
Download PDF MSS2022-73 NLP2022-118

Conference Information
Committee NLP MSS  
Conference Date 2023-03-15 - 2023-03-17 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
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  
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Keyword(8)  
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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