Quantifying the accuracy of numerical collapse predictions for the design of submarine pressure hulls

MacKay, John R.; Keulen, Fred van; Smith, Malcolm J.

doi:10.1016/j.tws.2010.08.015

Cited by 32 publications

(10 citation statements)

References 28 publications

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“…The models have simulated identical parameters to the initial studies with thicknesses of 0.05 m and 0.10 m, respectively. In order to obtain the critical load data, including pressure and point load, the different uniform pressure and displacement have been applied 1.0 m at the apex [52][53][54]. The bottom of the shell is set to be fixed, as shown in Figure 2a.…”

Section: Modelmentioning

confidence: 99%

Investigation of the Dynamic Buckling of Spherical Shell Structures Due to Subsea Collisions

Liu

Kaewunruen²,

Zhou

et al. 2018

Applied Sciences

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This paper is the first to present the dynamic buckling behavior of spherical shell structures colliding with an obstacle block under the sea. The effect of deep water has been considered as a uniform external pressure by simplifying the effect of fluid–structure interaction. The calibrated numerical simulations were carried out via the explicit finite element package LS-DYNA using different parameters, including thickness, elastic modulus, external pressure, added mass, and velocity. The closed-form analytical formula of the static buckling criteria, including point load and external pressure, has been firstly established and verified. In addition, unprecedented parametric analyses of collision show that the dynamic buckling force (peak force), mean force, and dynamic force redistribution (skewness) during collisions are proportional to the velocity, thickness, elastic modulus, and added mass of the spherical shell structure. These linear relationships are independent of other parameters. Furthermore, it can be found that the max force during the collision is about 2.1 times that of the static buckling force calculated from the analytical formula. These novel insights can help structural engineers and designers determine whether buckling will happen in the application of submarines, subsea exploration, underwater domes, etc.

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Section: Modelmentioning

confidence: 99%

Investigation of the Dynamic Buckling of Spherical Shell Structures Due to Subsea Collisions

Liu

Kaewunruen²,

Zhou

et al. 2018

Applied Sciences

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“…In general, the shape/topology optimization methods for improving buckling capacity are based on the variations of the shell meridian (with a positive Gaussian curvature) that can be represented in the form of ellipsoids, barrel-shaped, egg-shaped, or Cassini curves [2][3][4][5][6][7][8][9][10][11][12][13]. Unfortunately, the thin-walled structures are highly sensitive to the buckling phenomena.…”

Section: Introductionmentioning

confidence: 99%

Parametric Optimization of Isotropic and Composite Axially Symmetric Shells Subjected to External Pressure and Twisting

et al. 2021

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The present paper is devoted to the problem of the optimal design of thin-walled composite axially symmetric shells with respect to buckling resistance. The optimization problem is formulated with the following constraints: namely, all analyzed shells have identical capacity and volume of material. The optimization procedure consists of four steps. In the first step, the initial calculations are made for cylindrical shells with non-optimal orientation of layers and these results are used as the reference for optimization. Next, the optimal orientations of layers for cylindrical shapes are determined. In the third step, the optimal geometrical shape of a middle surface with a constant thickness is determined for isotropic material. Finally, for the assumed shape of the middle surface, the optimal fiber orientation angle θ of the composite shell is appointed. Such studies were carried for three cases: pure external pressure, pure twisting, and combined external pressure with twisting. In the case of shells made of isotropic material the obtained results are compared with the optimal structure of uniform stability, where the analytical Shirshov’s local stability condition is utilized. In the case of structures made of composite materials, the computations are carried out for two different materials, where the ratio of E1/E2 is equal to 17.573 and 3.415. The obtained benefit from optimization, measured as the ratio of critical load multiplier computed for reference shell and optimal structure, is significant. Finally, the optimal geometrical shapes and orientations of the layers for the assumed loadings is proposed.

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“…The differences obtained by the three methods were quite small (about 2%) for the case of overall buckling failure. It is also worth mentioning the contributions due to MacKay and his collaborators concerning the analysis of externally pressurized hulls in different aspects (see, e.g., References [30][31][32][33]).…”

Section: Introductionmentioning

confidence: 99%

Buckling Analysis of an AUV Pressure Vessel with Sliding Stiffeners

Freitas¹,

Álvarez

Ramos

et al. 2020

JMSE

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The structure of an autonomous underwater vehicle (AUV), usually composed of a cylindrical shell, may be exposed to high hydrostatic pressures where buckling collapse occurs before yield stress failure. In conventional submarines, welded stiffeners increase the buckling resistance, however, in small AUVs, they reduce the inner space and cause residual stresses. This work presents an innovative concept for the structural design of an AUV, proposing the use of sliding stiffeners that are part of the structure used to accommodate the electronics inside it. Since the sliding stiffeners are not welded to the shell, there are no residual stresses due to welding, the AUV fabrication process is simplified, enabling a reduction of the manufacturing cost, and the inner space is available to accommodate the equipment needed for the AUV mission. Moreover, they provide a higher buckling resistance when compared to that of an unstiffened cylindrical shell. A comparative analysis of the critical buckling loads for different shell designs was carried out considering the following: (i) the unstiffened shell, (ii) the shell with ring stiffeners, and (iii) the shell with sliding stiffeners. Results evidenced that major advantages were obtained by using the latter alternative against buckling.

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Quantifying the accuracy of numerical collapse predictions for the design of submarine pressure hulls

Cited by 32 publications

References 28 publications

Investigation of the Dynamic Buckling of Spherical Shell Structures Due to Subsea Collisions

Investigation of the Dynamic Buckling of Spherical Shell Structures Due to Subsea Collisions

Parametric Optimization of Isotropic and Composite Axially Symmetric Shells Subjected to External Pressure and Twisting

Buckling Analysis of an AUV Pressure Vessel with Sliding Stiffeners

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