Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass

The aim of the present paper is to deduce the free vibration frequencies of cantilever structures with a tip mass at the free end, by taking into account the rotary inertia and the shear deformation. The analysis is conducted by dividing the beam into rigid bars with elastic constraints, extending...

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Main Author: N.M Auciello
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1995-07-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/1482
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author N.M Auciello
author_facet N.M Auciello
author_sort N.M Auciello
collection DOAJ
description The aim of the present paper is to deduce the free vibration frequencies of cantilever structures with a tip mass at the free end, by taking into account the rotary inertia and the shear deformation. The analysis is conducted by dividing the beam into rigid bars with elastic constraints, extending a previous work by DE ROSA and FRANCIOSI[1]. The proposed method allows us to analyze beams with arbitrarily varying cross-sections, and numerical comparisons with some previous results found in the literature show the good performances of the approach.
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institution Kabale University
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2450-8071
language English
publishDate 1995-07-01
publisher Institute of Fundamental Technological Research
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spelling doaj-art-cd43c6b85d4b4cf7891bd0e433dba47d2025-08-20T03:49:50ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711995-07-01431-2Natural Frequencies of a Cantilever Timoshenko Beam With a Tip MassN.M Auciello0Department of Structural Engineering and Soil Mechanics University of Basilicata, Potenza The aim of the present paper is to deduce the free vibration frequencies of cantilever structures with a tip mass at the free end, by taking into account the rotary inertia and the shear deformation. The analysis is conducted by dividing the beam into rigid bars with elastic constraints, extending a previous work by DE ROSA and FRANCIOSI[1]. The proposed method allows us to analyze beams with arbitrarily varying cross-sections, and numerical comparisons with some previous results found in the literature show the good performances of the approach. https://et.ippt.pan.pl/index.php/et/article/view/1482
spellingShingle N.M Auciello
Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass
Engineering Transactions
title Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass
title_full Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass
title_fullStr Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass
title_full_unstemmed Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass
title_short Natural Frequencies of a Cantilever Timoshenko Beam With a Tip Mass
title_sort natural frequencies of a cantilever timoshenko beam with a tip mass
url https://et.ippt.pan.pl/index.php/et/article/view/1482
work_keys_str_mv AT nmauciello naturalfrequenciesofacantilevertimoshenkobeamwithatipmass