Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams

This paper presents the methodology for the energy flow analysis of coupled Timoshenko beam structures and various numerical applications to verify the developed methodology. To extend the application of the energy flow model for corrected flexural waves in the Timoshenko beam, which is developed in...

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Main Authors: Young-Ho Park, Suk-Yoon Hong
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2006/562762
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author Young-Ho Park
Suk-Yoon Hong
author_facet Young-Ho Park
Suk-Yoon Hong
author_sort Young-Ho Park
collection DOAJ
description This paper presents the methodology for the energy flow analysis of coupled Timoshenko beam structures and various numerical applications to verify the developed methodology. To extend the application of the energy flow model for corrected flexural waves in the Timoshenko beam, which is developed in the other companion paper, to coupled structures, the wave transmission analyses of general coupled Timoshenko beam systems are performed. First, power transmission and reflection coefficients for all kinds of propagating waves in the general, coupled Timoshenko beam structures are derived by the wave transmission approach. In numerical applications, the energy flow solutions using the derived coefficients agree well with the classical solutions for various exciting frequencies, damping loss factors, and coupled Timoshenko beam structures. Additionally, the numerical results for the Timoshenko beam are compared with those for the Euler-Bernoulli beam.
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publishDate 2006-01-01
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series Shock and Vibration
spelling doaj-art-284ce91f199c49e6ace2c1eb75ce752a2025-08-20T02:04:18ZengWileyShock and Vibration1070-96221875-92032006-01-0113316719610.1155/2006/562762Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko BeamsYoung-Ho Park0Suk-Yoon Hong1Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-742, Republic of KoreaDepartment of Naval Architecture and Ocean Engineering, Seoul National University, Seoul 151-742, Republic of KoreaThis paper presents the methodology for the energy flow analysis of coupled Timoshenko beam structures and various numerical applications to verify the developed methodology. To extend the application of the energy flow model for corrected flexural waves in the Timoshenko beam, which is developed in the other companion paper, to coupled structures, the wave transmission analyses of general coupled Timoshenko beam systems are performed. First, power transmission and reflection coefficients for all kinds of propagating waves in the general, coupled Timoshenko beam structures are derived by the wave transmission approach. In numerical applications, the energy flow solutions using the derived coefficients agree well with the classical solutions for various exciting frequencies, damping loss factors, and coupled Timoshenko beam structures. Additionally, the numerical results for the Timoshenko beam are compared with those for the Euler-Bernoulli beam.http://dx.doi.org/10.1155/2006/562762
spellingShingle Young-Ho Park
Suk-Yoon Hong
Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams
Shock and Vibration
title Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams
title_full Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams
title_fullStr Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams
title_full_unstemmed Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams
title_short Vibrational Energy Flow Analysis of Corrected Flexural Waves in Timoshenko Beam – Part II: Application to Coupled Timoshenko Beams
title_sort vibrational energy flow analysis of corrected flexural waves in timoshenko beam part ii application to coupled timoshenko beams
url http://dx.doi.org/10.1155/2006/562762
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