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Paper Abstract and Keywords
Presentation 2009-06-26 16:00
Investigation of Numerical Method of Xylophone by Finite Difference Method in Time Domain
Hideo Tsuru (Nittobo Acousrtic Eng.) EA2009-34
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, the numerical simulations in time domain is applied to practical analysis of musical instruments. The analyzed instruments are various kinds such as piano, violin and xylophone. Here, we investigate time dependent properties of the mallet instrument by numerical simulations. A xylophone is an elastic material which has a non uniform cross section. A dynamical equation of the xylophone is modelled by Timoshenko's theory or Mindlin plate theory. Viscoelastic and fluid mechanical damping effects are also taken into account. Vibrational motions of the elastic bar are simulated numerically through a finite difference method. Since the order of the spatial differential in the coupled partial differential equations is larger than that of the time differential, an implicit method is used to stabilize its numerical behaviour. The simulation can predict transient and frequency characteristics which are influenced by the change of shape and impact point and duration. The numerical result is auralized by a digital analog converter. It is concluded that the damping effects are important to reproduce a realistic sound.
Keyword (in Japanese) (See Japanese page) 
(in English) Timoshenko beam / Mindlin plate / Implicit scheme / / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 100, EA2009-34, pp. 97-102, June 2009.
Paper # EA2009-34 
Date of Issue 2009-06-18 (EA) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 EA  
Conference Date 2009-06-25 - 2009-06-26 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To EA 
Conference Code 2009-06-EA 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Investigation of Numerical Method of Xylophone by Finite Difference Method in Time Domain 
Sub Title (in English)  
Keyword(1) Timoshenko beam  
Keyword(2) Mindlin plate  
Keyword(3) Implicit scheme  
1st Author's Name Hideo Tsuru  
1st Author's Affiliation Nittobo Acoustic Engineering (Nittobo Acousrtic Eng.)
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Date Time 2009-06-26 16:00:00 
Presentation Time 30 
Registration for EA 
Paper # IEICE-EA2009-34 
Volume (vol) IEICE-109 
Number (no) no.100 
Page pp.97-102 
#Pages IEICE-6 
Date of Issue IEICE-EA-2009-06-18 

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