2022
DOI: 10.24132/acm.2022.781
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The Analytical and Numerical Stress Analysis of Various Domes for Composite Pressure Vessels

Abstract: The paper describes analytical and numerical solutions for five selected domes (a spherical shell, a geodesicisotensoid shell, a shell with zero transversal strain, a shell with zero transversal stress, and a shell with identical strain) for composite pressure vessels manufactured by means of filament (helical) winding. The stresses and strains in the domes were evaluated analytically from known equations with the use of MATLAB script for numerical evaluation and via finite element analysis (FEA) with Abaqus s… Show more

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Cited by 3 publications
(5 citation statements)
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References 13 publications
(26 reference statements)
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“…The requirement for objective functions F 3 and F 4 is that they should be close to zero (reaching negative values is undesirable). That is the reason why functions F 3 and F 4 are considered in square form in equation (16). Pressure, when the first failure of end dome occurs, is called damage pressure.…”
Section: Optimizationmentioning
confidence: 99%
See 1 more Smart Citation
“…The requirement for objective functions F 3 and F 4 is that they should be close to zero (reaching negative values is undesirable). That is the reason why functions F 3 and F 4 are considered in square form in equation (16). Pressure, when the first failure of end dome occurs, is called damage pressure.…”
Section: Optimizationmentioning
confidence: 99%
“…Also, a brand-new end dome shape was designed using data-driven evolutionary algorithms. The mathematical description of shell of revolution with double curvature wound with respect to geodesic condition is based on previous studies (see Padovec et al 16 for example) therefore only the theory related to the junction between cylindrical part and end dome are described below.…”
Section: Introductionmentioning
confidence: 99%
“…Sharma P et al [40] analyzed the effects of dome shape on the burst pressure, failure characteristics and weight performance of the vessel. Padovec Z et al [41] calculated analytical and numerical solutions for five selected domes (a spherical shell, a geodesicisotensoid shell, a shell with zero transversal strain, a shell with zero transversal stress and a shell with identical strain). The stresses and strains in the domes were evaluated analytically from known equations with the use of MATLAB script for numerical evaluation and via finite element analysis (FEA) with Abaqus software, and the results were compared with each other.…”
Section: Introductionmentioning
confidence: 99%
“…The behavior of "thin" or "thick" shells under various loading conditions can be studied by a number of the available approaches: analytical [29][30][31][32]; a combination of analytical and numerical [33][34][35][36]; a combination of analytical, experimental, and numerical [37][38][39][40]; semi-analytical [41][42][43]. The first question that arises is regarding the criteria under which the engineer will perform an analysis by the implementation of shell finite elements by applying the "firstorder" or the "second-order" theory.…”
Section: Introductionmentioning
confidence: 99%
“…The behavior of "thin" or "thick" shells under various loading conditions can be studied by a number of the available approaches: analytical [29][30][31][32]; a combination of analytical and numerical [33][34][35][36]; a combination of analytical, experimental, and numerical [37][38][39][40]; semi-analytical [41][42][43].…”
Section: Introductionmentioning
confidence: 99%