Effect of Boundary Conditions on Impact Stresses of Beams

A theoretical analysis based on the numerical solution of the beam impact integral equation is carried out to determine the impact force and deflection time histories, the strain energy absorbed by the beams and the maximum bending moment. Effect of beam boundary conditions on impact response of bea...

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Main Author: Eyad K. S. Al-Hachamee
Format: Article
Language:English
Published: Tikrit University 2006-10-01
Series:Tikrit Journal of Engineering Sciences
Subjects:
Online Access:https://tj-es.com/ojs/index.php/tjes/article/view/732
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author Eyad K. S. Al-Hachamee
author_facet Eyad K. S. Al-Hachamee
author_sort Eyad K. S. Al-Hachamee
collection DOAJ
description A theoretical analysis based on the numerical solution of the beam impact integral equation is carried out to determine the impact force and deflection time histories, the strain energy absorbed by the beams and the maximum bending moment. Effect of beam boundary conditions on impact response of beam is also discussed. The theoretical results obtained in the present analysis are compared with experimental and theoretical works previously done. A good agreement is found between theoretical and experimental results. This indicates that the impact resistance of relatively large beams may be predicted by using the theoretical approach based on equation of undamped beam vibration. All the derivations required to predict the effect of boundary conditions are performed for both forced and free vibrations. For the same falling mass and the same applied kinetic energy (height of drop) for all cases, the maximum central deflection and the maximum impact force are affected by the boundary conditions of the beams
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spelling doaj.art-ddafebcefec5418f844a27c06521e2042023-07-12T12:56:34ZengTikrit UniversityTikrit Journal of Engineering Sciences1813-162X2312-75892006-10-0113310.25130/tjes.13.3.04Effect of Boundary Conditions on Impact Stresses of BeamsEyad K. S. Al-Hachamee0Building and Construction Eng. Dept., University of Technology, IraqA theoretical analysis based on the numerical solution of the beam impact integral equation is carried out to determine the impact force and deflection time histories, the strain energy absorbed by the beams and the maximum bending moment. Effect of beam boundary conditions on impact response of beam is also discussed. The theoretical results obtained in the present analysis are compared with experimental and theoretical works previously done. A good agreement is found between theoretical and experimental results. This indicates that the impact resistance of relatively large beams may be predicted by using the theoretical approach based on equation of undamped beam vibration. All the derivations required to predict the effect of boundary conditions are performed for both forced and free vibrations. For the same falling mass and the same applied kinetic energy (height of drop) for all cases, the maximum central deflection and the maximum impact force are affected by the boundary conditions of the beams https://tj-es.com/ojs/index.php/tjes/article/view/732BeamBoundary ConditionsDeflection – Time HistoriesForce – Time HistoriesFree and Forced VibrationImpact
spellingShingle Eyad K. S. Al-Hachamee
Effect of Boundary Conditions on Impact Stresses of Beams
Tikrit Journal of Engineering Sciences
Beam
Boundary Conditions
Deflection – Time Histories
Force – Time Histories
Free and Forced Vibration
Impact
title Effect of Boundary Conditions on Impact Stresses of Beams
title_full Effect of Boundary Conditions on Impact Stresses of Beams
title_fullStr Effect of Boundary Conditions on Impact Stresses of Beams
title_full_unstemmed Effect of Boundary Conditions on Impact Stresses of Beams
title_short Effect of Boundary Conditions on Impact Stresses of Beams
title_sort effect of boundary conditions on impact stresses of beams
topic Beam
Boundary Conditions
Deflection – Time Histories
Force – Time Histories
Free and Forced Vibration
Impact
url https://tj-es.com/ojs/index.php/tjes/article/view/732
work_keys_str_mv AT eyadksalhachamee effectofboundaryconditionsonimpactstressesofbeams