Shape optimisation of axisymmetric cylindrical nozzles in spherical pressure vessels subject to stress constraints

Liu, J.-S.; Parks, Geoffrey T.; Clarkson, P. John

doi:10.1016/s0308-0161(00)00065-x

Cited by 12 publications

(5 citation statements)

References 6 publications

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“…Table 3. Maximum dimensionless equivalent stress and location of maximum stress concentration obtained for elliptical cross-section of the manhole, with ρ = 0.03 rounding of sharp edges of the manhole/vessel junction Manhole wall Length-wise orientation Cross-wise orientation Location of stress thickness ×10 −3 of major semi-axis of major semi-axis concentration 12 8 As opposed to the previous case of circular cross section of the manhole, the rounding worsens the situation. It is presumably caused by the fact that for the cross-wise orientation of the ellipse, the manhole reaches farther from the symmetry plane of the vessel and the rounded edges stiffen the junction more efficiently than in the case of the circular profile of the manhole.…”

Section: Length-wisementioning

confidence: 85%

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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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Section: Length-wisementioning

confidence: 85%

“…He focused on the fatigue analysis of various pressure vessel nozzles. Liu et al (2001) sought the optimal shapes of intersecting pressure vessels. They considered optimal profile of variable thickness nozzle connecting a spherical shell pressure vessel to a cylindrical nozzle.…”

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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“…They used the shell theory and considered the effect of transverse shear deformation. Liu et al (2001) sought optimal shapes of intersecting pressure vessels. They considered the optimal profile of a variable thickness nozzle connecting a spherical shell pressure vessel to a cylindrical nozzle.…”

Section: Introductionmentioning

confidence: 99%

Equivalent stress in a pressure vessel head with a nozzle

Lewiński

2014

jtam

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The paper is devoted to analysis of a dished head of a pressure vessel subject to internal uniform pressure and provided with a nozzle. A short survey of optimal design of the pressure vessel and its head is presented. The vessel head of a selected optimized shape is then completed by a nozzle, and the equivalent stress pattern is observed and recorded. The axis of symmetry of the nozzle is parallel to that of the vessel. The nozzle is placed in various distances from the axis of symmetry of the vessel. The dimensionless distance e between both axes varies from 0 (i.e. axisymmetric location) up to 0.8 (assuming that the radius of cylindrical part of the vessel is equal to 1). Results of numerical calculation are presented in plots and figures.

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“…Since the 70s, with the rapid development of the computer and the corresponding software, the three dimensional finite element becomes the principal means of solving the problem about the pressure vessel with the opening nozzle. The spherical shell is a widely used pressure vessel, there is higher stress in the connection of the spherical shell and the opening nozzle, especially the large opening (percentage greater than 0.5), which not only weakens vessel's strength, but also generates high bending stress in the opening edge, and forms the complex state of stress [1][2][3]. So it is important to carrying on the correct stress analysis and the appropriate stress classification.…”

Section: Introductionmentioning

confidence: 99%

Research of the Connecting Form about the Spherical Shell and the Nozzle

Luo

2011

AMR

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The Stress Distribution in the Connection of the Spherical Shell and the Opening Nozzle Is Very Complex. Sharp-Angled Transition and Round Transition Are Used Respectively in the Connection in the Light of the Spherical Shell with the Small Opening and the Large One. the Influence of the Two Connecting Forms on Stress Distribution Is Analyzed by Establishing Finite Element Model and Solving it. the Result Shows there Is Obvious Stress Concentration in the Connection. Round Transition Can Reduce the Maximum Stress in Comparison with Sharp-Angled Transition in both Cases of the Small Opening and the Large Opening, Mainly Reducing the Bending Stress and the Peak Stress, but Not the Membrane Stress. the Effect of Round Transition on Reducing Stress Was Not Significant. so Sharp-Angled Transition Should Be Adopted in the Connection when a Finite Element Model Is Built for Simplification in the Future.

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Shape optimisation of axisymmetric cylindrical nozzles in spherical pressure vessels subject to stress constraints

Cited by 12 publications

References 6 publications

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

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

Equivalent stress in a pressure vessel head with a nozzle

Research of the Connecting Form about the Spherical Shell and the Nozzle

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