Numerical analysis of diamond buckles

Wing Kam Liu; Dennis Lam

doi:10.1016/0168-874X(89)90024-3

Numerical analysis of diamond buckles

Wing Kam Liu^*, Dennis Lam

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The "diamond" modes of collapse are studied with finite element methods. Both linear and nonlinear analyses are performed on the buckling of a cylindrical shell under axial compression. Among the postbuckling shapes of the cylindrical shell, a number of diamond modes (cost nθ; n = 0, 14, 18, 10, 24 and 28) are found to be possible. The analysis is compared to those conducted by Maewal and Nachbar, Crisfield, and Yoshida et al. Agreement is established in conceiving the deformed shape with circumferential number of 14 as the stable postbuckling mode of the cylindrical shell. The transition from the axisymmetric mode to a diamond mode of collapse is shown to be an instantaneous process triggered in the proximity of the critical state by a small perturbation of the load increment.

Original language	English (US)
Pages (from-to)	291-302
Number of pages	12
Journal	Finite elements in analysis and design
Volume	4
Issue number	4
DOIs	https://doi.org/10.1016/0168-874X(89)90024-3
State	Published - Feb 1989

Funding

We wish to thank Mr. Edward Law in the Department of Mechanical Engineering at Northwestern University for his valuable help in the analysis. The support of the National Science Foundation to this research is gratefully acknowledged.

ASJC Scopus subject areas

Analysis
General Engineering
Computer Graphics and Computer-Aided Design
Applied Mathematics

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10.1016/0168-874X(89)90024-3

Cite this

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title = "Numerical analysis of diamond buckles",

abstract = "The {"}diamond{"} modes of collapse are studied with finite element methods. Both linear and nonlinear analyses are performed on the buckling of a cylindrical shell under axial compression. Among the postbuckling shapes of the cylindrical shell, a number of diamond modes (cost nθ; n = 0, 14, 18, 10, 24 and 28) are found to be possible. The analysis is compared to those conducted by Maewal and Nachbar, Crisfield, and Yoshida et al. Agreement is established in conceiving the deformed shape with circumferential number of 14 as the stable postbuckling mode of the cylindrical shell. The transition from the axisymmetric mode to a diamond mode of collapse is shown to be an instantaneous process triggered in the proximity of the critical state by a small perturbation of the load increment.",

author = "Liu, {Wing Kam} and Dennis Lam",

note = "Funding Information: We wish to thank Mr. Edward Law in the Department of Mechanical Engineering at Northwestern University for his valuable help in the analysis. The support of the National Science Foundation to this research is gratefully acknowledged.",

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T1 - Numerical analysis of diamond buckles

AU - Liu, Wing Kam

AU - Lam, Dennis

N1 - Funding Information: We wish to thank Mr. Edward Law in the Department of Mechanical Engineering at Northwestern University for his valuable help in the analysis. The support of the National Science Foundation to this research is gratefully acknowledged.

PY - 1989/2

Y1 - 1989/2

N2 - The "diamond" modes of collapse are studied with finite element methods. Both linear and nonlinear analyses are performed on the buckling of a cylindrical shell under axial compression. Among the postbuckling shapes of the cylindrical shell, a number of diamond modes (cost nθ; n = 0, 14, 18, 10, 24 and 28) are found to be possible. The analysis is compared to those conducted by Maewal and Nachbar, Crisfield, and Yoshida et al. Agreement is established in conceiving the deformed shape with circumferential number of 14 as the stable postbuckling mode of the cylindrical shell. The transition from the axisymmetric mode to a diamond mode of collapse is shown to be an instantaneous process triggered in the proximity of the critical state by a small perturbation of the load increment.

AB - The "diamond" modes of collapse are studied with finite element methods. Both linear and nonlinear analyses are performed on the buckling of a cylindrical shell under axial compression. Among the postbuckling shapes of the cylindrical shell, a number of diamond modes (cost nθ; n = 0, 14, 18, 10, 24 and 28) are found to be possible. The analysis is compared to those conducted by Maewal and Nachbar, Crisfield, and Yoshida et al. Agreement is established in conceiving the deformed shape with circumferential number of 14 as the stable postbuckling mode of the cylindrical shell. The transition from the axisymmetric mode to a diamond mode of collapse is shown to be an instantaneous process triggered in the proximity of the critical state by a small perturbation of the load increment.

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Numerical analysis of diamond buckles

Abstract

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