Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading

The paper formulates the problem of the parametric optimal design of a viscoplastic bar under the impact of axial force, Eq. (4.4), and gives some solutions. The dual approach to the problem has been applied, the minimal residual deflection being the design objective, under the constraint of a const...

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Main Authors: E. Cegielski, M. Życzkowski
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1981-03-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/1989
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author E. Cegielski
M. Życzkowski
author_facet E. Cegielski
M. Życzkowski
author_sort E. Cegielski
collection DOAJ
description The paper formulates the problem of the parametric optimal design of a viscoplastic bar under the impact of axial force, Eq. (4.4), and gives some solutions. The dual approach to the problem has been applied, the minimal residual deflection being the design objective, under the constraint of a constant volume of the bar. The governing equation (2.4) has been derived under the assumption of a power physical law and arbitrarily variable cross section; however, effective calculations have been performed for the linear law (0=1) and for bars of truncated cone shape. Two parameters describe the cross section of this bar, Eq. (3.1), but one of them can be determined from the condition of constant volume of the bar. Hence the parameter of tapering of the cone (A) remains the only design variable in this case. The influence of various parameters which describe the shape of the force impulse (Fig. 2) on the parameter Aopt has been investigated (Figs. 3, 4 and 5).
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institution Kabale University
issn 0867-888X
2450-8071
language English
publishDate 1981-03-01
publisher Institute of Fundamental Technological Research
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spelling doaj-art-eef03f444b5246f8b90e0103b45b3c712025-08-20T03:49:51ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711981-03-01291Parametric Optimization of Viscoplastic Bars Under Dynamic Axial LoadingE. Cegielski0M. Życzkowski1Institute of Mechanics and Machine Design, KrakówInstitute of Mechanics and Machine Design, KrakówThe paper formulates the problem of the parametric optimal design of a viscoplastic bar under the impact of axial force, Eq. (4.4), and gives some solutions. The dual approach to the problem has been applied, the minimal residual deflection being the design objective, under the constraint of a constant volume of the bar. The governing equation (2.4) has been derived under the assumption of a power physical law and arbitrarily variable cross section; however, effective calculations have been performed for the linear law (0=1) and for bars of truncated cone shape. Two parameters describe the cross section of this bar, Eq. (3.1), but one of them can be determined from the condition of constant volume of the bar. Hence the parameter of tapering of the cone (A) remains the only design variable in this case. The influence of various parameters which describe the shape of the force impulse (Fig. 2) on the parameter Aopt has been investigated (Figs. 3, 4 and 5).https://et.ippt.pan.pl/index.php/et/article/view/1989
spellingShingle E. Cegielski
M. Życzkowski
Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading
Engineering Transactions
title Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading
title_full Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading
title_fullStr Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading
title_full_unstemmed Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading
title_short Parametric Optimization of Viscoplastic Bars Under Dynamic Axial Loading
title_sort parametric optimization of viscoplastic bars under dynamic axial loading
url https://et.ippt.pan.pl/index.php/et/article/view/1989
work_keys_str_mv AT ecegielski parametricoptimizationofviscoplasticbarsunderdynamicaxialloading
AT mzyczkowski parametricoptimizationofviscoplasticbarsunderdynamicaxialloading