Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane

Energy flow analysis (EFA) models that account for significant shear deformation and the rotatory inertia effects in out-of-plane motion are essential for performing reliable EFA of practical composite structures, such as large ships or offshore platforms. The power coefficients for transmitted and...

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Main Author: Young-Ho Park
Format: Article
Language:English
Published: The Korean Society of Ocean Engineers 2025-02-01
Series:한국해양공학회지
Subjects:
Online Access:https://doi.org/10.26748/KSOE.2024.076
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author Young-Ho Park
author_facet Young-Ho Park
author_sort Young-Ho Park
collection DOAJ
description Energy flow analysis (EFA) models that account for significant shear deformation and the rotatory inertia effects in out-of-plane motion are essential for performing reliable EFA of practical composite structures, such as large ships or offshore platforms. The power coefficients for transmitted and reflected waves caused by incident waves at arbitrary angles in the incident Mindlin plate were derived by analyzing the displacement fields of semi-infinite Mindlin plates and an infinite Timoshenko beam. This enables the determination of the power transmission and reflection coefficients for diffuse fields, which are crucial for calculating the frequency-averaged vibrational power transfer relationship among coupled finite structures. The power transfer relationship, derived from the undamped wave solutions of the Mindlin plate and the Timoshenko beam, showed through numerical examples that the stiffening Timoshenko beam effectively insulates the Mindlin plate from out-of-plane vibrational power. Numerical analysis showed that the stiffening beam effectively blocks the vibrational power transmission of out-of-plane waves in the incident Mindlin plate. In addition, the power transmission and reflection tendencies of these waves vary with the cross-sectional size of the stiffening Timoshenko beam. This approach aims to enhance the reliability of vibrational analysis for stiffened plate structures.
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spelling doaj-art-dcc4c821e01245feb412e8caaede9c302025-08-20T02:10:38ZengThe Korean Society of Ocean Engineers한국해양공학회지2287-67152025-02-01391323910.26748/KSOE.2024.076Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same PlaneYoung-Ho Park0https://orcid.org/0000-0001-8614-4897Changwon National UniversityEnergy flow analysis (EFA) models that account for significant shear deformation and the rotatory inertia effects in out-of-plane motion are essential for performing reliable EFA of practical composite structures, such as large ships or offshore platforms. The power coefficients for transmitted and reflected waves caused by incident waves at arbitrary angles in the incident Mindlin plate were derived by analyzing the displacement fields of semi-infinite Mindlin plates and an infinite Timoshenko beam. This enables the determination of the power transmission and reflection coefficients for diffuse fields, which are crucial for calculating the frequency-averaged vibrational power transfer relationship among coupled finite structures. The power transfer relationship, derived from the undamped wave solutions of the Mindlin plate and the Timoshenko beam, showed through numerical examples that the stiffening Timoshenko beam effectively insulates the Mindlin plate from out-of-plane vibrational power. Numerical analysis showed that the stiffening beam effectively blocks the vibrational power transmission of out-of-plane waves in the incident Mindlin plate. In addition, the power transmission and reflection tendencies of these waves vary with the cross-sectional size of the stiffening Timoshenko beam. This approach aims to enhance the reliability of vibrational analysis for stiffened plate structures.https://doi.org/10.26748/KSOE.2024.076mindlin platetimoshenko beamenergy flow analysis (efa)wave transmission analysisstiffened plate
spellingShingle Young-Ho Park
Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane
한국해양공학회지
mindlin plate
timoshenko beam
energy flow analysis (efa)
wave transmission analysis
stiffened plate
title Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane
title_full Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane
title_fullStr Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane
title_full_unstemmed Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane
title_short Wave Transmission Analysis of Timoshenko Beam Junction with Mindlin Plates Connected in the Same Plane
title_sort wave transmission analysis of timoshenko beam junction with mindlin plates connected in the same plane
topic mindlin plate
timoshenko beam
energy flow analysis (efa)
wave transmission analysis
stiffened plate
url https://doi.org/10.26748/KSOE.2024.076
work_keys_str_mv AT younghopark wavetransmissionanalysisoftimoshenkobeamjunctionwithmindlinplatesconnectedinthesameplane