Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination

A new vibration beam technique for the fast determination of the dynamic Young modulus is developed. The method is based on measuring the resonant frequency of flexural vibrations of a partially restrained rectangular beam. The strip-shaped specimen fixed at one end to a force sensor and free at th...

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Main Authors: Rafael M. Digilov, Haim Abramovich
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2013/329530
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author Rafael M. Digilov
Haim Abramovich
author_facet Rafael M. Digilov
Haim Abramovich
author_sort Rafael M. Digilov
collection DOAJ
description A new vibration beam technique for the fast determination of the dynamic Young modulus is developed. The method is based on measuring the resonant frequency of flexural vibrations of a partially restrained rectangular beam. The strip-shaped specimen fixed at one end to a force sensor and free at the other forms the Euler Bernoulli cantilever beam with linear and torsion spring on the fixed end. The beam is subjected to free bending vibrations by simply releasing it from a flexural position and its dynamic response detected by the force sensor is processed by FFT analysis. Identified natural frequencies are initially used in the frequency equation to find the corresponding modal numbers and then to calculate the Young modulus. The validity of the procedure was tested on a number of industrial materials by comparing the measured modulus with known values from the literature and good agreement was found.
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spelling doaj-art-e145be57525844af8fd8383e9403a7672025-08-20T03:21:05ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422013-01-01201310.1155/2013/329530329530Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus DeterminationRafael M. Digilov0Haim Abramovich1Faculty of Aerospace Engineering, Technion—Israel Institute of Technology, 32000 Haifa, IsraelFaculty of Aerospace Engineering, Technion—Israel Institute of Technology, 32000 Haifa, IsraelA new vibration beam technique for the fast determination of the dynamic Young modulus is developed. The method is based on measuring the resonant frequency of flexural vibrations of a partially restrained rectangular beam. The strip-shaped specimen fixed at one end to a force sensor and free at the other forms the Euler Bernoulli cantilever beam with linear and torsion spring on the fixed end. The beam is subjected to free bending vibrations by simply releasing it from a flexural position and its dynamic response detected by the force sensor is processed by FFT analysis. Identified natural frequencies are initially used in the frequency equation to find the corresponding modal numbers and then to calculate the Young modulus. The validity of the procedure was tested on a number of industrial materials by comparing the measured modulus with known values from the literature and good agreement was found.http://dx.doi.org/10.1155/2013/329530
spellingShingle Rafael M. Digilov
Haim Abramovich
Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination
Advances in Materials Science and Engineering
title Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination
title_full Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination
title_fullStr Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination
title_full_unstemmed Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination
title_short Flexural Vibration Test of a Beam Elastically Restrained at One End: A New Approach for Young’s Modulus Determination
title_sort flexural vibration test of a beam elastically restrained at one end a new approach for young s modulus determination
url http://dx.doi.org/10.1155/2013/329530
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AT haimabramovich flexuralvibrationtestofabeamelasticallyrestrainedatoneendanewapproachforyoungsmodulusdetermination