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Paper Abstract and Keywords
Presentation 2010-09-30 13:00
Analysis of frequency gap of Antenna structure resonatorUsing Mathieu equation
Hiroshi Tatebe (Shinshu Univ.), Hideaki Itoh (Shinshu Univ) US2010-65
Abstract (in Japanese) (See Japanese page) 
(in English) The frequency gap of the antenna structure resonator whose resonant frequency did not exist was observed in the frequency range of 763 MHz ~ 1.197 GHz using Bernoulli-Euler equation. We could obtain the frequency gap of 840 MHz ~ 1.197 GHz, in the case of deriving the Mathieu equation by applying the Bernoulli-Euler equation with the external axial force being a function of time variable to the antenna structure resonator with 40 elements and then setting the magnitude of the axial force to be 5.58×10-5 N, which was intermediate between the frequency gap of 763 MHz ~ 1.197 GHz obtained by Bernoulli-Euler equation and the one of 927 MHz ~ 1.197 GHz calculated by the transfer matrix method using Bloch theorem of flexural wave based on the periodicity of the elements. The Mathieu equation, which shows the parametric vibration, dominates the vibrational behavior of higher frequency vibration of the antenna structure resonator than the frequency of 769.3 MHz for the fundamental mode of the element as a cantilever.
Keyword (in Japanese) (See Japanese page) 
(in English) Antenna structure resonator / Axial force / Mathieu equation / Bernoulli-Euler equation / Frequency gap / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 213, US2010-65, pp. 93-98, Sept. 2010.
Paper # US2010-65 
Date of Issue 2010-09-22 (US) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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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Conference Information
Committee US  
Conference Date 2010-09-29 - 2010-09-30 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To US 
Conference Code 2010-09-US 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis of frequency gap of Antenna structure resonatorUsing Mathieu equation 
Sub Title (in English)  
Keyword(1) Antenna structure resonator  
Keyword(2) Axial force  
Keyword(3) Mathieu equation  
Keyword(4) Bernoulli-Euler equation  
Keyword(5) Frequency gap  
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1st Author's Name Hiroshi Tatebe  
1st Author's Affiliation Shinshu University (Shinshu Univ.)
2nd Author's Name Hideaki Itoh  
2nd Author's Affiliation Shinshu University (Shinshu Univ)
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Speaker Author-1 
Date Time 2010-09-30 13:00:00 
Presentation Time 25 minutes 
Registration for US 
Paper # US2010-65 
Volume (vol) vol.110 
Number (no) no.213 
Page pp.93-98 
#Pages
Date of Issue 2010-09-22 (US) 


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