Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes

The impacts on pipes or beams are of fundamental mechanical interest. These impacts can be studied analytically. This makes it easier to examine the basic effects and to compare these effects with the results of finite element analyzes (FEA). The displacements of a pipe with two-sided stops and harm...

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Autores principales: H. Schau, T. Hermann, W. Hienstorfer
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Publicado: Elsevier 2021
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spelling oai:doaj.org-article:26ecfe619f184299b71a9cc5fb7862a42021-12-04T04:36:01ZVibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes2666-359710.1016/j.finmec.2021.100048https://doaj.org/article/26ecfe619f184299b71a9cc5fb7862a42021-11-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666359721000391https://doaj.org/toc/2666-3597The impacts on pipes or beams are of fundamental mechanical interest. These impacts can be studied analytically. This makes it easier to examine the basic effects and to compare these effects with the results of finite element analyzes (FEA). The displacements of a pipe with two-sided stops and harmonic excitation are investigated. For hard impacts many modes must be used in the analytical calculations, which leads to considerable numerical problems and sometimes chaotic behavior. The influence of a small viscose damping is small compared with the effects of the mode numbers. For plastic impacts and elastic impacts with more realistic stiffness of the stops a moderate number of modes can be used. The comparison of the displacements for hard, plastic and elastic (with high stiffness of the stops) shows a remarkable good agreement with the results of the FEA for hard impacts. This confirms the plastic impact approach in the FE software Abaqus. It is noted that for plastic impacts already two modes give an acceptable description of the displacements.H. SchauT. HermannW. HienstorferElsevierarticleVibrationImpactMultipleBeamSolutionFE analyzesMechanics of engineering. Applied mechanicsTA349-359TechnologyTENForces in Mechanics, Vol 5, Iss , Pp 100048- (2021)
institution DOAJ
collection DOAJ
language EN
topic Vibration
Impact
Multiple
Beam
Solution
FE analyzes
Mechanics of engineering. Applied mechanics
TA349-359
Technology
T
spellingShingle Vibration
Impact
Multiple
Beam
Solution
FE analyzes
Mechanics of engineering. Applied mechanics
TA349-359
Technology
T
H. Schau
T. Hermann
W. Hienstorfer
Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes
description The impacts on pipes or beams are of fundamental mechanical interest. These impacts can be studied analytically. This makes it easier to examine the basic effects and to compare these effects with the results of finite element analyzes (FEA). The displacements of a pipe with two-sided stops and harmonic excitation are investigated. For hard impacts many modes must be used in the analytical calculations, which leads to considerable numerical problems and sometimes chaotic behavior. The influence of a small viscose damping is small compared with the effects of the mode numbers. For plastic impacts and elastic impacts with more realistic stiffness of the stops a moderate number of modes can be used. The comparison of the displacements for hard, plastic and elastic (with high stiffness of the stops) shows a remarkable good agreement with the results of the FEA for hard impacts. This confirms the plastic impact approach in the FE software Abaqus. It is noted that for plastic impacts already two modes give an acceptable description of the displacements.
format article
author H. Schau
T. Hermann
W. Hienstorfer
author_facet H. Schau
T. Hermann
W. Hienstorfer
author_sort H. Schau
title Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes
title_short Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes
title_full Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes
title_fullStr Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes
title_full_unstemmed Vibrations of straight pipes/beams with two-sided stops: Analytical and numerical analyzes
title_sort vibrations of straight pipes/beams with two-sided stops: analytical and numerical analyzes
publisher Elsevier
publishDate 2021
url https://doaj.org/article/26ecfe619f184299b71a9cc5fb7862a4
work_keys_str_mv AT hschau vibrationsofstraightpipesbeamswithtwosidedstopsanalyticalandnumericalanalyzes
AT thermann vibrationsofstraightpipesbeamswithtwosidedstopsanalyticalandnumericalanalyzes
AT whienstorfer vibrationsofstraightpipesbeamswithtwosidedstopsanalyticalandnumericalanalyzes
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