FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION

A mathematical model of a thin circular sandwich plate being under the vertical load is proposed. The model employs the finite element method and takes advantage of an axisymmetric finite element that leads to the small dimension of the resulting stiffness matrix and sufficient accuracy for practica...

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Main Author: K. S. Kurachka
Format: Article
Language:Russian
Published: National Academy of Sciences of Belarus, the United Institute of Informatics Problems 2016-10-01
Series:Informatika
Online Access:https://inf.grid.by/jour/article/view/133
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author K. S. Kurachka
author_facet K. S. Kurachka
author_sort K. S. Kurachka
collection DOAJ
description A mathematical model of a thin circular sandwich plate being under the vertical load is proposed. The model employs the finite element method and takes advantage of an axisymmetric finite element that leads to the small dimension of the resulting stiffness matrix and sufficient accuracy for practical calculations. The analytical expressions for computing local stiffness matrices are found, which can significantly speed up the process of forming the global stiffness matrix and increase the accuracy of calculations. A software is under development and verification. The discrepancy between the results of the mathematical model and those of analytical formulas for homogeneous thin circularsandwich plates does not exceed 7%.
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publisher National Academy of Sciences of Belarus, the United Institute of Informatics Problems
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spelling doaj-art-6ceb9356645e4a7190755fc6742f237f2025-02-03T11:51:49ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012016-10-01012534132FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTIONK. S. Kurachka0Гомельский государственный технический университет им. П.О. СухогоA mathematical model of a thin circular sandwich plate being under the vertical load is proposed. The model employs the finite element method and takes advantage of an axisymmetric finite element that leads to the small dimension of the resulting stiffness matrix and sufficient accuracy for practical calculations. The analytical expressions for computing local stiffness matrices are found, which can significantly speed up the process of forming the global stiffness matrix and increase the accuracy of calculations. A software is under development and verification. The discrepancy between the results of the mathematical model and those of analytical formulas for homogeneous thin circularsandwich plates does not exceed 7%.https://inf.grid.by/jour/article/view/133
spellingShingle K. S. Kurachka
FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION
Informatika
title FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION
title_full FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION
title_fullStr FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION
title_full_unstemmed FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION
title_short FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION
title_sort finite element modeling of thin circular sandwich plates deflection
url https://inf.grid.by/jour/article/view/133
work_keys_str_mv AT kskurachka finiteelementmodelingofthincircularsandwichplatesdeflection