Stability Analysis of a Shallow Shell

Havran, Jozef; Psotny, Martin

doi:10.1016/j.proeng.2017.05.320

Cited by 6 publications

(5 citation statements)

References 9 publications

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“…On the basis of the formulation presented in previous sections, a MATLAB code is developed to solve the equations. Some of the examples are extracted from the literature (Civalek, 2017;Havran and Psotny, 2017;Yiotis and Katsikadelis, 2014;Zhao and Liew, 2010) to validate the accuracy of the method. The proposed IG-SFSM is capable to analyze the shells with arbitrary geometries.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…This example is solved by IG-SFSM with various numbers of DOFs. The results are presented in Table II and compared with the related results given by Havran and Psotny (2017). All of I:…”

Section: Convergence Study and Validationmentioning

confidence: 98%

“…Similar works were carried out for conical FGM and composite shell panels by Bich et al (2012) and Demir et al (2016), respectively, using analytical approach. Yiotis and Katsikadelis (2014) and Havran and Psotny (2017) calculated critical external pressure of cylindrical doubly curved shell panels using meshless analog equation method and finite element method (FEM), respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Havran and Psotny (2017), and the corresponding IG-SFSM-based results are presented in TableII, which indicate some important points: the number of DOFs required to get converged results by means of IG-SFSM is equal to 1,105, whereas that by FEM is 6,534 DOFs. It implies that a shorter time is needed for buckling analysis using IG-SFSM in comparison to FEM.…”

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confidence: 97%

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Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method

Shahmohammadi

Azhari

Saadatpour

et al. 2019

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Purpose This paper aims to analyze the stability of laminated shells subjected to axial loads or external pressure with considering various geometries and boundary conditions. The main aim of the present study is developing an efficient combined method which uses the advantages of different methods, such as finite element method (FEM) and isogeometric analysis (IGA), to achieve multipurpose targets. Two types of material including laminated composite and sandwich functionally graded material are considered. Design/methodology/approach A novel type of finite strip method called isogeometric B3-spline finite strip method (IG-SFSM) is used to solve the eigenvalue buckling problem. IG-SFSM uses B3-spline basis functions to interpolate the buckling displacements and mapping operations in the longitudinal direction of the strips, whereas the Lagrangian functions are used in transverse direction. The current presented IG-SFSM is formulated based on the degenerated shell method. Findings The buckling behavior of laminated shells is discussed by solving several examples corresponding to shells with various geometries, boundary conditions and material properties. The effects of mechanical and geometrical properties on critical loads of shells are investigated using the related results obtained by IG-SFSM. Originality/value This paper shows that the proposed IG-SFSM leads to the critical loads with an approved accuracy comparing with the same examples extracted from the literature. Moreover, it leads to a high level of convergence rate and low cost of solving the stability problems in comparison to the FEM.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

“…This example is solved by IG-SFSM with various numbers of DOFs. The results are presented in Table II and compared with the related results given by Havran and Psotny (2017). All of I:…”

Section: Convergence Study and Validationmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 97%

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Stability of laminated composite and sandwich FGM shells using a novel isogeometric finite strip method

Shahmohammadi

Azhari

Saadatpour

et al. 2019

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“…To research of intense state of strain and stability of covers including at long loadings, number of works is devoted, for example [3,4,5,6] also other authors and foreign scientists [7,8,9]. While questions of bend and stability of thin-walled covers are studied rather well, to question research stability of covers at concrete creep not so many works are devoted.…”

Section: Introductionmentioning

confidence: 99%

Influence of Creep Concrete on Space Stability Thin-Walled Dome Coverings

Prokshits¹,

Gridnev²,

Sotnikova³

et al. 2021

AFST

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The task was set, due to the capabilities of modern software systems, to assess the effect of the increase in inelastic deformations under prolonged load action on the loss of stability of thin-walled dome coverings. The study of the dependences of the forms of the loss of stability of dome covering from creep concrete that will help further with optimization calculations when determining of the most influencing parameters of designs. Calculation results of thin-walled concrete dome roof of circular outline under the influence of operational loadings with use of two modern program complexes are given in article. It is investigated intense and deformation condition of dome coverings as a part of construction from position of forecasting of possible forms of loss of stability, with use of opportunities of the final and element «MidasCivil» computer system. In work provisions of the theory of elasticity, mechanics of deformation of solid body, construction mechanics and also methods of mathematical modeling based on application of finite element method are used. The received results give the chance to rationally select geometrical parameters and material of design and also to set structural strength safety factors at the solution of problems of stability of different covers taking into account possible creep of material.

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