Minimum weight design of helically and hoop wound toroidal hydrogen storage tanks with variable slippage coefficients

Zu, Lei; Koussios, Sotiris; Beukers, Adriaan

doi:10.1002/pc.22365

Cited by 9 publications

(10 citation statements)

References 27 publications

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“…R 0 [37] Major radius [8,37] Shell crown radius [42] Meridian radius [44] Bend/bending radius [35,36,38,39] Toroidal radius [45] Ring radius [46,47] r [mm] Cross-sectional radius a [8,31,32,41,42,48,49] x, y [44] r 0 [37] R 1 , R 2 [45] r 1 [50] R [43] Minor radius [37] Shell meridian radius [42] Toroid internal radius [42] Tube radius [35,36,38] Toroid tube radius [33,51,52] Toroidal shell radius [32] Meridian circle radius [48,49]…”

Section: Toroidal Pressure Vessel Parametersmentioning

confidence: 99%

“…Relative bending radius [35][36][37] Aspect ratio [50] a [43,50] λ [33] ϕ [°] Hoop angle ss [41] u [37] θ [39] x 1 [46,47] Material coordinate [42] Parallel angular coordinate [36] Meridional angle [8,31,[35][36][37][38][39][40]50] Meridional coordinate [33,46,47,52] Co-latitude [51] Tangential angle [48,49]…”

Section: R/r [-]mentioning

confidence: 99%

“…Axial angle θθ [41] v [37] ϕ [39] x 2 [46,47] Material coordinate [42] Parallel angle [35][36][37][38] Circumferential angle [8,31,39,40] Circumferential coordinate [46,47] Meridian rotational angle [48,49]…”

Section: R/r [-]mentioning

confidence: 99%

“…Winding angle b [8] β [44] Ply angle [8] Wrap angle [44] Fibre trajectory [37] B, D (Figure 3) Poles (upper/lower) Crown (for upper pole) [31] Flanks [40] Crests [8,37,50] A, C (Figure 3) Equators (inner/outer) Inner/outer radii [50] Inside/outside [8,31,42,48] Inside/outside surfaces [41] Intrados/extrados [39,40] Equatorial periphery (for outer radius) [38] Inner/outer peripheries [35,38] Inner ring (for inner radius) [45] Inner/outer equatorial planes [51] XZ(ϕ) Cross-sectional plane Meridian [8, 31, 33, 36-38, 41, 44, 48-50, 52, 53]…”

Section: R/r [-]mentioning

confidence: 99%

See 3 more Smart Citations

A review of toroidal composite pressure vessel optimisation and damage tolerant design for high pressure gaseous fuel storage

Fowler

Orifici

Wang

2016

International Journal of Hydrogen Energy

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On-board high-pressure storage of hydrogen gas and compressed natural gas is critical to the widespread adoption of alternative gaseous fuel to reduce CO 2 emissions in transportation. Cylindrical pressure vessels are the traditional option for on-board gaseous fuel storage; however they possess domed heads that are prone to over-design and a source of manufacturing difficulties. Toroidal composite pressure vessels (CPV) have been recognised as a volumetrically efficient solution that could address these problems, thus reducing vessel mass, while improving storage efficiencies. Currently, there exist many gaps in toroidal CPV research which must be addressed to fully realise the potential of this technology. Herein we present a comprehensive and critical review of the design and optimisation of toroidal CPVs, focusing on damage tolerant design as a key requirement to meet safety standards and optimisation of toroidal cross-sectional profiles (shape, thickness variation and fibre winding pattern) to reduce or eliminate stress non-uniformity. An original analysis of toroidal radius ratio (R/r) influence on the thickness profiles of naturally-thickened and isotensoid circular toroidal CPVs is conducted. It is concluded that a focus on smaller radius ratios (1.25 < R/r < 3) is required to maximise the potential spacesaving and volumetric efficiencies of the torus. Leading international CPV standards are analysed in order to adapt three important design qualification requirements from cylindrical to toroidal structures. Building block approaches are also presented to aid the damage tolerant design of toroidal CPVs for the relevant design qualification tests.

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Section: Toroidal Pressure Vessel Parametersmentioning

confidence: 99%

Section: R/r [-]mentioning

confidence: 99%

Section: R/r [-]mentioning

confidence: 99%

Section: R/r [-]mentioning

confidence: 99%

See 2 more Smart Citations

A review of toroidal composite pressure vessel optimisation and damage tolerant design for high pressure gaseous fuel storage

Fowler

Orifici

Wang

2016

International Journal of Hydrogen Energy

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“…As shown in Ref. , an optimal pressure vessel is governed by the condition of equal shell strains or, in other words, zero shear stress at lamina level. To satisfy the optimality condition of equal shell strains, the ratio of the membrane forces N θ / N φ is given by :

\frac{N_{θ}}{N_{φ}} = \frac{1 - (1 - k) \cos^{2} α}{k + (1 - k) \cos^{2} α}

where α is the winding angle between the directions of the roving path and the dome meridian; k is the anisotropy parameter, given by :

k = \frac{E_{2} (1 + ν_{12})}{E_{1} (1 + ν_{21})}

in which E 1 and E 2 are the elastic moduli in respectively the longitudinal and transverse directions of a unidirectional layer; ν 12 and ν 21 are the Poisson's ratios satisfying the following symmetry condition:

E_{1} ν_{21} = E_{2} ν_{12}

…”

Section: Governing Equations For Dome Shapesmentioning

confidence: 99%

Influence of fiber slippage coefficient distributions on the geometry and performance of composite pressure vessels

Wang

2014

Polymer Composites

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In this article, the effects of several slippage coefficient distributions on the geometry, fiber trajectories, and the structural efficiency of non-geodesic domes are evaluated for composite pressure vessels. Several functions, which ensure C 1 continuity of the winding trajectories, are respectively used to describe the slippage coefficient distributions along the fiber paths. With the aid of the fiber slippage law and the optimality condition of equal shell strains, the differential equations that govern the non-geodesics-based dome shapes and related fiber trajectories are formulated. The meridian profiles and winding angle developments of the carbon-epoxy domes are obtained based on the given slippage coefficient distributions; their structural performances are then determined and compared with each other. The results conclude that the nongeodesic dome designed using the maximum constant slippage coefficient exhibits better performance than those using other slippage coefficient distributions; this is mainly triggered by maximum utilization of the longitudinal strength of the laminate. It is also revealed that the structural efficiency of domed pressure vessels can be improved using non-geodesics that provide higher degrees of freedom in the design of filament wound structures. POLYM. COMPOS., 37:315-321, 2016.

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Design method of variable slippage coefficient non‐geodesic filament‐wound composite pressure vessels

Wang,

Xu,

Song

et al. 2024

Polymer Composites

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Previous studies on the design methods of filament winding paths for composite pressure vessels have mainly focused on geodesic and constant slippage coefficient non‐geodesic patterns, neglecting the design of variable slippage coefficients along the fiber path. In this paper, a design method of variable slippage coefficient non‐geodesic filament wound composite pressure vessels is proposed. The study begins by establishing a meridian rotation mapping model and deriving fiber path equations on the shell surface. Subsequently, the fiber paths, curvature characteristics, slippage coefficients, and shell stress responses of the shell under variable geometrical parameters are simulated and analyzed. Next, the winding parameters are optimized while considering bandwidth and stable winding constraints. The optimal winding parameters are determined, and filament winding simulations are conducted on composite pressure vessels. Results demonstrate the feasibility of the proposed method for variable slippage coefficient fiber path winding mode, providing a new and effective filament winding path design approach for composite pressure vessels.Highlights Establishment of meridian rotation mapping model and simulation of shell fiber paths under variable geometric parameters. The fiber paths, curvature characteristics, slippage coefficients, and winding angles of the shell under variable geometrical parameters are simulated and analyzed. Stress response analysis of shells based on Tsai‐Wu failure criterion and classical lamination theory stress field dimensionless modeling. Construction of winding parameter optimization strategies and bandwidth error evaluation based on stable winding and fiber bandwidth constraints. Simulation of variable slippage coefficient non‐geodesic filament winding for composite pressure vessels with different parameters.

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Minimum weight design of helically and hoop wound toroidal hydrogen storage tanks with variable slippage coefficients

Cited by 9 publications

References 27 publications

A review of toroidal composite pressure vessel optimisation and damage tolerant design for high pressure gaseous fuel storage

A review of toroidal composite pressure vessel optimisation and damage tolerant design for high pressure gaseous fuel storage

Influence of fiber slippage coefficient distributions on the geometry and performance of composite pressure vessels

Design method of variable slippage coefficient non‐geodesic filament‐wound composite pressure vessels

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