Finite element based coupled mode initial post-buckling analysis of a composite cylindrical shell

Rahman, Tanvir; Jansen, Eelco

doi:10.1016/j.tws.2009.08.003

Cited by 58 publications

(39 citation statements)

References 24 publications

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“…In the present work the earlier implementation of a perturbation approach for static buckling analysis [25] will be extended to account for inertial forces in order to be able to analyse dynamic buckling problems. The extension is done along the lines proposed by Budiansky [26].…”

Section: Perturbation Methodsmentioning

confidence: 99%

“…where the coefficients α and β are known as the first and second imperfection form factors, respectively [25], and are given by…”

Section: Dynamic Analysismentioning

confidence: 99%

“…In earlier studies using this perturbation approach for static buckling, often problems have been considered under the assumption of a linear pre-buckling state. For shell structures, in relevant cases the inclusion of pre-buckling nonlinearity is essential [24,25]. Koiter's perturbation approach was presented using a functional notation by Budiansky [26] and by Byskov and Hutchinson [27].…”

Section: Introductionmentioning

confidence: 99%

“…The development environment of the general purpose finite element code DIANA [31] is used as implementation platform. DIANA's original implementation of the perturbation approach for static postbuckling analysis and its recent extension to include the effect of pre-buckling nonlinearity by the present authors [25] is used as a basis, and will be further extended in the present work to include the effect of inertia. The effectiveness of the approach will be illustrated by application to the dynamic buckling of composite cylindrical shells under axial and radial step loads.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic buckling analysis of composite cylindrical shells using a finite element based perturbation method

Rahman¹,

Jansen

Gürdal

2011

Nonlinear Dyn

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In this paper a finite element formulation of a reduction method for dynamic buckling analysis of imperfection-sensitive shell structures is presented. The reduction method makes use of a perturbation approach, initially developed for static buckling and later extended to dynamic buckling analysis. The implementation of a single-mode dynamic buckling analysis in a general purpose finite element code is described. The effectiveness of the approach is illustrated by application to the dynamic buckling of composite cylindrical shells under axial and radial step loads. Results of the reduction method are compared with results available in the literature. The results are also compared with full model finite element explicit dynamic analysis, and a reasonable agreement is obtained.

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Section: Perturbation Methodsmentioning

confidence: 99%

“…where the coefficients α and β are known as the first and second imperfection form factors, respectively [25], and are given by…”

Section: Dynamic Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic buckling analysis of composite cylindrical shells using a finite element based perturbation method

Rahman¹,

Jansen

Gürdal

2011

Nonlinear Dyn

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“…In each step, the method combines a prediction phase using a nonlinear reduced order model(ROM) based on Koiter asymptotic analysis [14,15,16] with a Newton iteration based correction procedure, thus allowing the algorithm to use fairly large step sizes. In the original Koiter-Newton method, the classical arc-length method is used to solve the nonlinear system of equations associated with the reduced order model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method

Liang

Ruess

2016

Aerospace Science and Technology

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Liang, K., and Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method. Aerospace Science and Technology, 55, There may be differences between this version and the published version. AbstractThin-walled conical and cylindrical shells subjected to axial compression often show a snap-back response in the presence of buckling. Newton iterations based path-following methods cannot trace reliably the snap-back response due to the extremely sharp turning angle near the limit point, and the original Koiter-Newton method also meets difficulties to achieve a complete post-buckling response beyond the limit point. In this paper, the improved KoiterNewton method is proposed to trace the post-buckling path of cylinders and cones, in the framework of the reducedorder modeling technique. The polynomial homotopy continuation (PHC) method is used to solve the lower-order nonlinear reduced order model reliably and efficiently. The simplified Green-Lagrange (SGL) kinematics which consider the stress redistribution after buckling are implemented into the construction of the reduced order model to produce accurate results for curved shells. The numerical results presented reveal that the improved method is a robust and efficient technology to achieve the entire nonlinear response for the snap-back case.

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Shells: Buckling Loads of Laminated Cylinders

Wetherhold

2012

Wiley Encyclopedia of Composites

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Structural elements in the form of cylindrical shells are often designed to be thin to save weight, and this can lead to buckling. The patterns and values of buckling loads depend greatly on the type of loading, the end support conditions, and effective laminate material properties and couplings. For many typical buckling loadings, there is a variety of similar buckling states, which causes sensitivity to initial imperfections. Understanding this phenomenon requires the consideration of nonlinear strain‐displacement relations, usually in the von Kármán form. In addition, shells of composite materials require deformation assumptions that permit transverse shear deformation. A review of the results obtained using theoretical techniques is given as well as finite element predictions and experimental observations. A very brief summary of references is given for the optimization of shell buckling loads and for the additional effects of stringer reinforcement, thermal loadings, and other topics.

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Finite element based coupled mode initial post-buckling analysis of a composite cylindrical shell

Cited by 58 publications

References 24 publications

Dynamic buckling analysis of composite cylindrical shells using a finite element based perturbation method

Dynamic buckling analysis of composite cylindrical shells using a finite element based perturbation method

Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method

Shells: Buckling Loads of Laminated Cylinders

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