Paper Abstract and Keywords |
Presentation |
2016-03-25 13:00
Derivation of equations of motion and numerical analysis of spider linkages Nozomi Akashi, Syuji Miyazaki (Kyoto Univ) NLP2015-154 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Hhyperbolic system theorem is well understood chaos theory.
The free motion (i.e. no friction and no potential) of the triple linkage of Hunt - MacKay was proved to be an Anosov system, a special case of Axiom A systems.
In this paper, we derive the equation of free motion under constraints in a class of spider linkage, which includes the triple linkage, and we propose a method to calculate lyapunov exponent of a constraint system or conservative system.
We comfirm the equations of motion is numerically analyzed to yield periodic and chaotic
dynamics.
In addition, we quantitatively estimate chaotic property of the system by calculating the Lyapunov exponent. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
dynamical system / conservative system / Anosov system / chaos / Lyapunov exponent / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 515, NLP2015-154, pp. 69-74, March 2016. |
Paper # |
NLP2015-154 |
Date of Issue |
2016-03-17 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 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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NLP2015-154 |
Conference Information |
Committee |
NLP |
Conference Date |
2016-03-24 - 2016-03-25 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kyoto Sangyo Univ. |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2016-03-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Derivation of equations of motion and numerical analysis of spider linkages |
Sub Title (in English) |
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Keyword(1) |
dynamical system |
Keyword(2) |
conservative system |
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Anosov system |
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chaos |
Keyword(5) |
Lyapunov exponent |
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1st Author's Name |
Nozomi Akashi |
1st Author's Affiliation |
Kyoto University (Kyoto Univ) |
2nd Author's Name |
Syuji Miyazaki |
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Kyoto University (Kyoto Univ) |
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Speaker |
Author-1 |
Date Time |
2016-03-25 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2015-154 |
Volume (vol) |
vol.115 |
Number (no) |
no.515 |
Page |
pp.69-74 |
#Pages |
6 |
Date of Issue |
2016-03-17 (NLP) |
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