| IEICE Technical Committee Submission System Conference Paper's Information |
Online Proceedings [Sign in] Tech. Rep. Archives |
| Go Top Page | Go Previous | [Japanese] / [English] |
| Paper Abstract and Keywords | ||
| Presentation | 2015-06-12 14:55 [Invited Talk] Recent Advances in Theory of Combinatorial Rigidity and Its Applications Naoki Katoh (KGU)  COMP2015-6 |
|
| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | It is known that the condition m≧2n-3 is necessary for a 2-dimensional bar-joint framework with n pin-joints and and m bars of fixed lengths to be rigid. Also the condition m≧3n-6 is necessary for a 3-dimensional bar-joint framework to be rigid. This is a classical result discovered by Maxwell in 1864. This condition tells us that the rigidity of a framework relies on its topology (incidence relationship between joints and bars). In fact, about a hundred years later, Laman proved in 1970 that the rigidity of a 2-dimensional bar-joint framework is determined by its incidence relationship. A main theme of combinatorial rigidity theory is to analyze and clarify the rigidity of certain structural models. The consequence of combinatorial rigidity theory gives us fundamental knowledge about structures and since the late 90's it has been applied to various fields such as mechanical design, dynamic simulation of proteins, intelligent CAD system, sensor network localization. In this talk, I will first give a basic theory of combinatorial rigidity and then touch on applications to the elucidation of protein functions and to architectural design. |
|
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | theory of combinatorial rigidity / Maxwell・Laman Theorem / elucidation of protein function / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 115, no. 84, COMP2015-6, pp. 27-27, June 2015. | |
| Paper # | COMP2015-6 | |
| Date of Issue | 2015-06-05 (COMP) | |
| 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) | |
| Download PDF | COMP2015-6 |
|
| Conference Information | |
| Committee | COMP IPSJ-AL |
| Conference Date | 2015-06-12 - 2015-06-13 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2015-06-COMP-AL |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Recent Advances in Theory of Combinatorial Rigidity and Its Applications |
| Sub Title (in English) | |
| Keyword(1) | theory of combinatorial rigidity |
| Keyword(2) | Maxwell・Laman Theorem |
| Keyword(3) | elucidation of protein function |
| Keyword(4) | |
| Keyword(5) | |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Naoki Katoh |
| 1st Author's Affiliation | Kwansei Gakuin University (KGU) |
| 2nd Author's Name | |
| 2nd Author's Affiliation | () |
| 3rd Author's Name | |
| 3rd Author's Affiliation | () |
| 4th Author's Name | |
| 4th Author's Affiliation | () |
| 5th Author's Name | |
| 5th Author's Affiliation | () |
| 6th Author's Name | |
| 6th Author's Affiliation | () |
| 7th Author's Name | |
| 7th Author's Affiliation | () |
| 8th Author's Name | |
| 8th Author's Affiliation | () |
| 9th Author's Name | |
| 9th Author's Affiliation | () |
| 10th Author's Name | |
| 10th Author's Affiliation | () |
| 11th Author's Name | |
| 11th Author's Affiliation | () |
| 12th Author's Name | |
| 12th Author's Affiliation | () |
| 13th Author's Name | |
| 13th Author's Affiliation | () |
| 14th Author's Name | |
| 14th Author's Affiliation | () |
| 15th Author's Name | |
| 15th Author's Affiliation | () |
| 16th Author's Name | |
| 16th Author's Affiliation | () |
| 17th Author's Name | |
| 17th Author's Affiliation | () |
| 18th Author's Name | |
| 18th Author's Affiliation | () |
| Speaker | Author-1 |
| Date Time | 2015-06-12 14:55:00 |
| Presentation Time | 60 minutes |
| Registration for | COMP |
| Paper # | COMP2015-6 |
| Volume (vol) | vol.115 |
| Number (no) | no.84 |
| Page | p.27 |
| #Pages | 1 |
| Date of Issue | 2015-06-05 (COMP) |
[Return to Top Page]