Shape optimization of thin-walled pressure vessel end closures

Krużelecki, Jacek; Proszowski, Rafał

doi:10.1007/s00158-012-0789-1

Cited by 23 publications

(20 citation statements)

References 34 publications

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“…The dimensionless depth β of a closure, which is a part of objective functions Equations (A2) and (A3) for multicriteria optimization, is not directly seen in Equation (54) because the dimensionless coordinate ξ is used there. The optimal values of the parameters n, m and β with respect to F 1 for a constant thickness closure are presented, after Krużelecki and Proszowski (2012a), in Table 2.…”

Section: Optimal Wall Thickness For Prescribed Shape Of Vessel End CLmentioning

confidence: 99%

“…The local geometrical constraints (A6) imposed at the junction ξ = 0 between a cylinder and a dished head lead to the following values of r coordinates: r 0 = r 1 = r 2 = 1, and Equation (34) can be rewritten, after Krużelecki and Proszowski (2012a), in the form…”

Section: Optimal Wall Thickness For Prescribed Shape Of Vessel End CLmentioning

confidence: 99%

“…These three extra requirements are fulfilled by the appropriate convex Bézier functions. Among many possible shapes, some of the Bézier functions proposed in the article by Krużelecki and Proszowski (2012a) were chosen, which were obtained as the result of optimization of constant thickness closures with respect to the functional F 1 equation (A2). They are very convenient for the optimization of axially symmetrical end closures.…”

Section: Optimal Wall Thickness For Prescribed Shape Of Vessel End CLmentioning

confidence: 99%

“…Magnucki and Lewiński (2000) analysed the stress state in a non-standard torispherical head composed of polynomial and circular parts. The optimal shapes of dished heads for cylindrical pressure vessels in the membrane state were investigated by Magnucki andLewiński (1998, 2003), and the optimal shapes that reduce bending effects under the assumption of constant wall thickness were sought by Lewinski and Magnucki (2010) and Krużelecki and Proszowski (2012a). Carbonari et al (2011) discuss shape optimization of axisymmetrical pressure vessels (compressed natural gas tanks) considering an integrated approach in which the entire pressure vessel model is used in conjunction with a multi-objective function that aims to minimize the equivalent Huber-Mises-Hencky stress from nozzle to head.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of the geometry of thin-walled uniform-strength pressure vessel end closures

Krużelecki

Proszowski

2014

Engineering Optimization

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In this article the problem of shape and thickness optimization of uniform-strength thin-walled pressure vessel heads subjected to internal pressure is investigated. The optimal geometry of a closure, which minimizes the design objective containing both depth and capacity or both depth and volume of the material of a closure (two variants), is sought in the class of uniform-strength structures under geometrical constraints. Three types of optimization problem are considered: the optimal shape of the middle surface is sought for a prescribed wall thickness, the optimal wall thickness is sought for a prescribed shape of a closure, and the most general case when looking for both shape functions. The meridian is approximated either by the convex Bézier polynomial or by functions with free parameters. Both two-and one-arc domes are considered. The optimal solutions are obtained using the simulated annealing algorithm.

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Section: Optimal Wall Thickness For Prescribed Shape Of Vessel End CLmentioning

confidence: 99%

Section: Optimal Wall Thickness For Prescribed Shape Of Vessel End CLmentioning

confidence: 99%

Section: Optimal Wall Thickness For Prescribed Shape Of Vessel End CLmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimization of the geometry of thin-walled uniform-strength pressure vessel end closures

Krużelecki

Proszowski

2014

Engineering Optimization

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“…In order to design the required profile of the head they used Bézier curves. Further development of the method was demonstrated by Krużelecki and Proszowski (2012). They considered a larger range of shapes of a vessel head approximated by convex Bézier polynomials or by functions with free parameters.…”

Section: Introductionmentioning

confidence: 99%

The effect of manhole shape and wall thickness on stress state in a cylindrical pressure vessel

Lewiński

2015

jtam

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The paper describes attempts to find advantageous shape and configuration of a manhole located in the upper part of a cylindrical pressure vessel. Manholes of circular and elliptical cross sections have been considered. The manhole is placed vertically and symmetrically with respect to the cylindrical vessel. Three variants of the manhole walls have been taken into account. In the first variant, the manhole wall reaches only the cylinder surface. The manhole walls in two other variants are elongated inside the cylindrical vessel to various lengths. In the case of elliptical manholes two other variants were been considered, i.e. with their major axes situated in parallel or perpendicularly to the axis of symmetry of the cylindrical vessel. Results of the numerical calculation are presented in figures and tables.

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