GBT-based FE formulation to analyse the buckling behaviour of isotropic conical shells with circular cross-section

Mureşan, Adina-Ana; Nedelcu, Mihai; Gonçalves, Rodrigo

doi:10.1016/j.tws.2018.07.032

Cited by 28 publications

(7 citation statements)

References 20 publications

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“…In Romanian, Nedelcu et.al. developed studies about buckling identification modes based on GBT [122] and taper beams [120], especially concerning conical shell analysis [116,121].…”

Section: Literature Review and Historical Development Of Gbtmentioning

confidence: 99%

Coupling between Shell and Generalized Beam Theory (GBT) elements

Bianco

Könke

Habtemariam

et al. 2018

Forschungskolloquium 2018 Grasellenbach

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I would like to express my deepest gratitude to my supervisor Univ.-Prof. Dr.-Ing. habil. Carsten Könke and Dr.-Ing. habil. Volkmar Zabel. Their guidance and observations were crucial to the development of this study. Without them, I would still be lost in the darkness of the maze of doubt and incomprehension where lies the subject of this Phd Dissertation.Also, I would like to thank Cnpq -(Conselho Nacional de Desenvolvimento Científico e Tecnológico -Development National Council for Scientific and Technological) -Brazil -for the financial support of my studies at Bauhaus-Universität Weimar, and Ricardo Bozza, who allowed the tranquility away from my technical responsibilities in Brazil.Finally, with all my heart, I extoll my family for their endless encouragement, and the light of my life, Juliana Guarany da Cunha Santos, who helped me with more than just the English review, but also with love and support during these five years of studies.

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“…In Romanian, Nedelcu et.al. developed studies about buckling identification modes based on GBT [122] and taper beams [120], especially concerning conical shell analysis [116,121].…”

Section: Literature Review and Historical Development Of Gbtmentioning

confidence: 99%

Coupling between Shell and Generalized Beam Theory (GBT) elements

Bianco

Könke

Habtemariam

et al. 2018

Forschungskolloquium 2018 Grasellenbach

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“…Condition ( 9) is easily proved once we know that the solution to Problem 2 is unique, as shown in [10]. In turn, uniqueness for Problem 2 is achieved by proving uniqueness for the corresponding homogeneous problem (that is the one with l = 0) [25] (p. 20), [24] (p. 92). Finally, uniqueness for the corresponding homogeneous problem can be deduced by a standard technique [26] (pp.…”

Section: Hypotheses To Prove Condition (9)mentioning

confidence: 99%

Finite Elements and Symmetry

Touzani¹

2020

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A set of sufficient conditions for the well posedness and the convergence of the finite element approximation of three-dimensional time-harmonic electromagnetic boundary value problems involving non-conducting rotating objects with stationary boundaries or bianisotropic media is provided for the first time to the best of authors' knowledge. It is shown that it is not difficult to check the validity of these conditions and that they hold true for broad classes of practically important problems which involve rotating or bianisotropic materials. All details of the applications of the theory are provided for electromagnetic problems involving rotating axisymmetric objects.

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“…Although GBT was developed for prismatic bars, efforts have been undertaken to extend its scope to moderately tapered members [3], conical shells [4,5] and members with holes [6], the latter at the expense of using a refined cross-section discretisation and taking into account only the membrane longitudinal normal pre-buckling stresses. A more general approach to handle members with holes, discrete thickness variations and physical/geometrical non-linearities was proposed in [7], using non-orthogonal deformation modes to enable modelling complex geometries and enhancing the computational cost (the participations of the orthogonal modes are retrieved by post-processing).…”

Section: Introductionmentioning

confidence: 99%

On the Modeling of Thin-Walled Member Assemblies Combining Shell and GBT-Based Beam Finite Elements: the Linear and Bifurcation Case

Manta¹,

Gonçalves²,

Camotim³

2021

14th WCCM-ECCOMAS Congress

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In this paper, a general and efficient approach to model thin-walled members and frames with complex geometries (including tapered segments and holes). The approach combines shell and GBT-based (beam) finite elements, using each of them where it is most efficient: (i) shell elements in the plastic and geometrically complex zones, and (ii) GBT elements in the prismatic and elastic zones. To illustrate the capabilities and potential of the proposed approach, a set of numerical examples are presented, concerning linear, bifurcation (linear stability) and first-order plastic zone analyses. The examples analysed involve (i) members with tapered segments, (ii) members with holes and (iii) tapered beam-column assemblies. For validation and comparison purposes, full shell finite element solutions are provided and it is demonstrated that the proposed approach yields very accurate solutions in all cases, while involving much less DOFs.

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GBT-based FE formulation to analyse the buckling behaviour of isotropic conical shells with circular cross-section

Cited by 28 publications

References 20 publications

Coupling between Shell and Generalized Beam Theory (GBT) elements

Coupling between Shell and Generalized Beam Theory (GBT) elements

Finite Elements and Symmetry

On the Modeling of Thin-Walled Member Assemblies Combining Shell and GBT-Based Beam Finite Elements: the Linear and Bifurcation Case

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