Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

Eigencharacteristics of a longitudinally vibrating elastic rod with locally and non-locally reacting damping are analyzed. The rod is considered as a continuous system and complex eigenfrequencies are determined as solution of a characteristic equation. The variation of the damping ratios with respe...

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Main Authors: Şefaatdin Yüksel, Uğur Dalli
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2005/747089
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spelling doaj-63222cfd757e41eaabcce72a82bbb8e22020-11-25T01:36:01ZengHindawi LimitedShock and Vibration1070-96221875-92032005-01-0112210911810.1155/2005/747089Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous DampersŞefaatdin Yüksel0Uğur Dalli1Department of Mechanical Engineering, Faculty of Engineering and Architecture, Gazi University, 06570 Maltepe, Ankara, TurkeyASELSAN Inc., MGEO Division, 06511 Akyurt, Ankara, TurkeyEigencharacteristics of a longitudinally vibrating elastic rod with locally and non-locally reacting damping are analyzed. The rod is considered as a continuous system and complex eigenfrequencies are determined as solution of a characteristic equation. The variation of the damping ratios with respect to damper locations and damping coefficients for the first four eigenfrequencies are obtained. It is shown that at any mode of locally or non-locally damped elastic rod, the variation of damping ratio with damper location is linearly proportional to absolute value of the mode shape of undamped system. It is seen that the increasing damping coefficient does not always increase the damping ratio and there are optimal values for the damping ratio. Optimal values for external damping coefficients of viscous dampers and locations of the dampers are presented.http://dx.doi.org/10.1155/2005/747089
collection DOAJ
language English
format Article
sources DOAJ
author Şefaatdin Yüksel
Uğur Dalli
spellingShingle Şefaatdin Yüksel
Uğur Dalli
Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers
Shock and Vibration
author_facet Şefaatdin Yüksel
Uğur Dalli
author_sort Şefaatdin Yüksel
title Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers
title_short Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers
title_full Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers
title_fullStr Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers
title_full_unstemmed Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers
title_sort longitudinally vibrating elastic rods with locally and non-locally reacting viscous dampers
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2005-01-01
description Eigencharacteristics of a longitudinally vibrating elastic rod with locally and non-locally reacting damping are analyzed. The rod is considered as a continuous system and complex eigenfrequencies are determined as solution of a characteristic equation. The variation of the damping ratios with respect to damper locations and damping coefficients for the first four eigenfrequencies are obtained. It is shown that at any mode of locally or non-locally damped elastic rod, the variation of damping ratio with damper location is linearly proportional to absolute value of the mode shape of undamped system. It is seen that the increasing damping coefficient does not always increase the damping ratio and there are optimal values for the damping ratio. Optimal values for external damping coefficients of viscous dampers and locations of the dampers are presented.
url http://dx.doi.org/10.1155/2005/747089
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AT ugurdalli longitudinallyvibratingelasticrodswithlocallyandnonlocallyreactingviscousdampers
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