An isogeometric formulation for stability analysis of laminated plates and shallow shells

Praciano, Jamires Sousa Cordeiro; Barros, Pedro Sanderson Bastos; Barroso, Elias Saraiva; Parente, Evandro; Holanda, Áurea Silva de; Sousa, João Batista M.

doi:10.1016/j.tws.2019.106224

Cited by 12 publications

(5 citation statements)

References 49 publications

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“…Figure 3b shows the buckling asymmetric mode at the first bifurcation point for the [0/90/0] shallow shell. Figure 4a shows the pre-buckling equilibrium paths of shallow shells with layer-parameters of [90/0/90], [0/90/0] and [45/-45]s based on the 16×16 cubic IGA model, which is compared with the results obtained from Sze [4] and Praciano [1]. The result of the shells with layer-parameters of [0/90/0] and [45/-45]s are almost identical to the results of references, and the difference is only perceptible for [90/0/90] near the critical point.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…With high stiffness, good fatigue resistance, low weight, and many other excellent material properties, composite plate and shell structures have been widely used in the manufacture of aerospace engineering, mechanical and naval engineering structural components. Based on the practical importance of these structures, the advancement of analysis techniques for composite plates and shells is currently a thriving area of research [1].…”

Section: Introductionmentioning

confidence: 99%

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Isogeometric pre-buckling analysis of laminated shallow shells

Huang

Fan

et al. 2023

J. Phys.: Conf. Ser.

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The deployment of laminated shallow shells has achieved significant traction across the domains of aerospace, mechanical, and marine engineering, where ensuring structural stability remains a major consideration. In this paper, the pre-buckling analysis of laminated shells is proposed based on the isogeometric model. The geometric structure and displacement of the shallow shell are represented by NURBS basis functions with fewer control points, and the nonlinear behavior of the shell is shown by the path-following method. The result shows that the nonlinear pre-buckling critical points are associated with the laminated material, which provides a certain reference for the further optimization of laminated parameters to improve the pre-buckling performance of shells.

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Section: Numerical Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Isogeometric pre-buckling analysis of laminated shallow shells

Huang

Fan

et al. 2023

J. Phys.: Conf. Ser.

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“…According to the Reissner-Mindlin theory, also known as the Firstorder Shear Deformation Theory (FSDT), the displacements of the plate, at any point, can be written in matrix form as [44][45][46]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…The internal forces and moments are obtained integrating stresses through the plate thickness as presented in Praciano et al [45]. Finally, the stress resultants σ can be written in terms of the generalized strains ɛ as:…”

Section: Governing Equationsmentioning

confidence: 99%

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Surrogate based optimization of functionally graded plates using radial basis functions

Ribeiro

Maia

Parente

et al. 2020

Composite Structures

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Kriging-based optimization of functionally graded structures

Maia

Parente

Melo

2021

Struct Multidisc Optim

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This work presents an efficient methodology for the optimum design of functionally graded structures using a Krigingbased approach. The method combines an adaptive Kriging framework with a hybrid particle swarm optimization (PSO) algorithm to improve the computational efficiency of the optimization process. In this approach, the surrogate model is used to replace the high-fidelity structural responses obtained by a NURBS-based isogeometric analysis. In addition, the impact of key factors on surrogate modelling, as the correlation function, the infill criterion used to update the surrogate model, and the constraint handling is assessed for accuracy, efficiency, and robustness. The design variables are related to the volume fraction distribution and the thickness. Displacement, fundamental frequency, buckling load, mass, and ceramic volume fraction are used as objective functions or constraints. The effectiveness and accuracy of the proposed algorithm are illustrated through a set of numerical examples. Results show a significant reduction in the computational effort over the conventional approach.

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An isogeometric formulation for stability analysis of laminated plates and shallow shells

Cited by 12 publications

References 49 publications

Isogeometric pre-buckling analysis of laminated shallow shells

Isogeometric pre-buckling analysis of laminated shallow shells

Surrogate based optimization of functionally graded plates using radial basis functions

Kriging-based optimization of functionally graded structures

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