NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES

In the paper numerical aspects of elasto-viscoplastic dynamic calculations of circular plates are presented. Numerical results are compared with experiments carried out in the laboratory. Each plate is calculated using the self-built computer program based on the finite element method. The Gaussian...

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Main Author: PAWEŁ KŁOSOWSKI
Format: Article
Language:English
Published: Gdańsk University of Technology 1999-04-01
Series:TASK Quarterly
Subjects:
Online Access:https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2394
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author PAWEŁ KŁOSOWSKI
author_facet PAWEŁ KŁOSOWSKI
author_sort PAWEŁ KŁOSOWSKI
collection DOAJ
description In the paper numerical aspects of elasto-viscoplastic dynamic calculations of circular plates are presented. Numerical results are compared with experiments carried out in the laboratory. Each plate is calculated using the self-built computer program based on the finite element method. The Gaussian quadtrature is used for the surface integration and some difficulties concerning the choice of the order of this integration are discussed. To integrate the constitutive equations (the first order differential equations), and the equations of motion (the second order differential equations), it is necessary to use proper value of the time step. Some remarks on selection of this value are given. Density of the finite element mesh used for discretisation of the plate is studied. It was found that the number of elements has bigger influence on the quality of the results than the number of layers used to describe the changes of stresses through the thickness of the plate. Finally, some comments on the choice of the model of damping are made. An approximate method of introduction of this factor in the calculations is presented.
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spelling doaj.art-4d68715c7c644cdf8aad98db8bf632da2022-12-22T00:14:21ZengGdańsk University of TechnologyTASK Quarterly1428-63941999-04-0132NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATESPAWEŁ KŁOSOWSKI0Technical University of Gdansk, Faculty of Civil Engineering In the paper numerical aspects of elasto-viscoplastic dynamic calculations of circular plates are presented. Numerical results are compared with experiments carried out in the laboratory. Each plate is calculated using the self-built computer program based on the finite element method. The Gaussian quadtrature is used for the surface integration and some difficulties concerning the choice of the order of this integration are discussed. To integrate the constitutive equations (the first order differential equations), and the equations of motion (the second order differential equations), it is necessary to use proper value of the time step. Some remarks on selection of this value are given. Density of the finite element mesh used for discretisation of the plate is studied. It was found that the number of elements has bigger influence on the quality of the results than the number of layers used to describe the changes of stresses through the thickness of the plate. Finally, some comments on the choice of the model of damping are made. An approximate method of introduction of this factor in the calculations is presented. https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2394dynamicsviscoplasticityfinite element method
spellingShingle PAWEŁ KŁOSOWSKI
NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES
TASK Quarterly
dynamics
viscoplasticity
finite element method
title NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES
title_full NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES
title_fullStr NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES
title_full_unstemmed NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES
title_short NUMERICAL ASPECTS OF DYNAMIC, GEOMETRICALLY NON-LINEAR CALCULATIONS OF ELASTO-VISCOPLASTIC PLATES
title_sort numerical aspects of dynamic geometrically non linear calculations of elasto viscoplastic plates
topic dynamics
viscoplasticity
finite element method
url https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2394
work_keys_str_mv AT pawełkłosowski numericalaspectsofdynamicgeometricallynonlinearcalculationsofelastoviscoplasticplates