A penalty approach to obtain lower bound buckling loads for imperfection-sensitive shells

Godoy, Luis A.; Jaca, Rossana C.; Sosa, Eduardo M.; Flores, Fernando G.

doi:10.1016/j.tws.2015.07.005

Cited by 5 publications

(2 citation statements)

References 42 publications

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“…For more pictures and references related to the wider field of shell bucking see the excellent and comprehensive web-page of Bushnell [2015], and for design implications in aeronautics and astronautics [Bushnell, 1981]. The approximate analytical procedures of James Croll are nicely summarised in a recent paper by Godoy, et al [2015], and for the probabilistic approach to imperfections we can recommend the new book by Elishakoff [2014]. Other applications may lie in the wrinkling of membranes and thin films, where Takei, et al [2014] make use of a probe in their theoretical analysis.…”

Section: Discussionmentioning

confidence: 99%

Shock-Sensitivity in Shell-Like Structures: With Simulations of Spherical Shell Buckling

Thompson

Sieber

2016

Int. J. Bifurcation Chaos

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Under increasing compression, an unbuckled shell is in a metastable state which becomes increasingly precarious as the buckling load is approached. So to induce premature buckling, a lateral disturbance will have to overcome a decreasing energy barrier which reaches zero at buckling. Two archetypal problems that exhibit a severe form of this behavior are the axially-compressed cylindrical shell and the externally pressurized spherical shell. Focusing on the cylinder, a nondestructive technique was recently proposed to estimate the “shock-sensitivity” of a laboratory specimen using a lateral probe to measure the nonlinear load-deflection characteristic. If a symmetry-breaking bifurcation is encountered on the path, computer simulations showed how this can be suppressed by a controlled secondary probe. Here, we extend our understanding by assessing in general terms how a single control can capture remote saddle solutions: in particular, how a symmetric probe could locate an asymmetric solution. Then, more specifically, we analyze the spherical shell with point and ring probes, to test the procedure under challenging conditions to assess its range of applicability. Rather than a bifurcation, the spherical shell offers the challenge of a destabilizing fold (limit point) under the rigid control of the probe.

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Section: Discussionmentioning

confidence: 99%

Shock-Sensitivity in Shell-Like Structures: With Simulations of Spherical Shell Buckling

Thompson

Sieber

2016

Int. J. Bifurcation Chaos

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“…In the work of Godoy et al [17], both reduced stiffness analysis (RSA) and reduced energy analysis (REA) were applied to the buckling analysis of cantilever cylindrical shells, with or without a fixed top roof, and subjected to wind loads. The numerical results were compared with those obtained by a geometrically nonlinear analysis including geometric imperfections, allowing them to show the advantages and drawbacks of both approaches.…”

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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Fast procedure for Non-uniform optimum design of stiffened shells under buckling constraint

Hao

Wang

Tian

et al. 2016

Struct Multidisc Optim

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A penalty approach to obtain lower bound buckling loads for imperfection-sensitive shells

Cited by 5 publications

References 42 publications

Shock-Sensitivity in Shell-Like Structures: With Simulations of Spherical Shell Buckling

Shock-Sensitivity in Shell-Like Structures: With Simulations of Spherical Shell Buckling

Buckling Analysis of an AUV Pressure Vessel with Sliding Stiffeners

Fast procedure for Non-uniform optimum design of stiffened shells under buckling constraint

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