Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure

The article proposes a new analytical method for the calculation of plates with constant and variable rigidity parameters. This method renders it possible to decrease the weight of the plates working under hydrostatic pressure by using variable thicknesses. Firs, a short overview of existing calcul...

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Main Authors: G. Aryassov, D. Gornostajev, I. Penkov
Format: Article
Language:English
Published: University of Zielona Góra 2018-11-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Calculation-Method-for-Plates-with-Discrete-Variable-Thickness-Under-Uniform-Loading,166946,0,2.html
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author G. Aryassov
D. Gornostajev
I. Penkov
author_facet G. Aryassov
D. Gornostajev
I. Penkov
author_sort G. Aryassov
collection DOAJ
description The article proposes a new analytical method for the calculation of plates with constant and variable rigidity parameters. This method renders it possible to decrease the weight of the plates working under hydrostatic pressure by using variable thicknesses. Firs, a short overview of existing calculation methods and their results are compared. It is shown that all existing methods depend on boundary conditions. Then is given the theory of the proposed calculation method is described and calculations for plates with constant and variable thickness worked under uniformly loaded forces and hydrostatic pressure are made. The results are compared to the FEM calculations and experimental results obtained by a tensile test machine and special equipment. Calculation results obtained by the proposed analytical method and FEM results are very close. Deviations are not more than 11 %. Deviations between theoretical calculations and experimental results depend on loading type and design of the test specimens but maximum values are not more than 17 %. The proposed calculation method does not depend on the boundary conditions and can be used for plate calculations. Especially for plates with difficult design and complex loading.
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spelling doaj.art-a5d8583a875d4ce59c4c2b77866a010a2023-08-08T14:59:52ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-11-0123483585310.2478/ijame-2018-0046166946Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic PressureG. Aryassov0D. Gornostajev1I. Penkov2Department of Mechanical and Industrial Engineering, School of Engineering, Tallinn University of Technology, Ehitajate tee 5, 19086, Tallinn, EstoniaDepartment of Mechanical and Industrial Engineering, School of Engineering, Tallinn University of Technology, Ehitajate tee 5, 19086, Tallinn, EstoniaDepartment of Mechanical and Industrial Engineering, School of Engineering, Tallinn University of Technology, Ehitajate tee 5, 19086, Tallinn, EstoniaThe article proposes a new analytical method for the calculation of plates with constant and variable rigidity parameters. This method renders it possible to decrease the weight of the plates working under hydrostatic pressure by using variable thicknesses. Firs, a short overview of existing calculation methods and their results are compared. It is shown that all existing methods depend on boundary conditions. Then is given the theory of the proposed calculation method is described and calculations for plates with constant and variable thickness worked under uniformly loaded forces and hydrostatic pressure are made. The results are compared to the FEM calculations and experimental results obtained by a tensile test machine and special equipment. Calculation results obtained by the proposed analytical method and FEM results are very close. Deviations are not more than 11 %. Deviations between theoretical calculations and experimental results depend on loading type and design of the test specimens but maximum values are not more than 17 %. The proposed calculation method does not depend on the boundary conditions and can be used for plate calculations. Especially for plates with difficult design and complex loading.https://www.ijame-poland.com/Calculation-Method-for-Plates-with-Discrete-Variable-Thickness-Under-Uniform-Loading,166946,0,2.htmlplate calculationdeflectionhydrostatic pressureboundary conditions
spellingShingle G. Aryassov
D. Gornostajev
I. Penkov
Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure
International Journal of Applied Mechanics and Engineering
plate calculation
deflection
hydrostatic pressure
boundary conditions
title Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure
title_full Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure
title_fullStr Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure
title_full_unstemmed Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure
title_short Calculation Method for Plates with Discrete Variable Thickness Under Uniform Loading or Hydrostatic Pressure
title_sort calculation method for plates with discrete variable thickness under uniform loading or hydrostatic pressure
topic plate calculation
deflection
hydrostatic pressure
boundary conditions
url https://www.ijame-poland.com/Calculation-Method-for-Plates-with-Discrete-Variable-Thickness-Under-Uniform-Loading,166946,0,2.html
work_keys_str_mv AT garyassov calculationmethodforplateswithdiscretevariablethicknessunderuniformloadingorhydrostaticpressure
AT dgornostajev calculationmethodforplateswithdiscretevariablethicknessunderuniformloadingorhydrostaticpressure
AT ipenkov calculationmethodforplateswithdiscretevariablethicknessunderuniformloadingorhydrostaticpressure