A STUDY OF BUCKLING BEHAVIOR OF CLAMPED SPHERICAL SHELLS UNDER UNIFORM PRESSURE

The boundary-value problems associated with the axisymmetrical, asymmetrical, and initial postbuckling behavior of the clamped shallow conical sandwich shell under a uniform pressure are developed for face sheets of the same material and equal thicknesses. The numerical results presented show that the buckling and initial postbuckling behavior of the sandwich cap is similar to that of the conical homogeneous cap. The effects of the thickness and material parameters on the axisymmetric snap-through buckling behavior of the clamped shallow spherical and conical sandwich shells are also studied. For one material parameter considered the axisymmetric buckling behavior of the sandwich shells is similar to that of the corresponding homogeneous shells; so it is suggested that, without any further analysis, the asymmetric buckling and the initial postbuckling behavior of the sandwich cap can be obtained by conjecture. For the other material parameters considered, the axisymmetric buckling behavior of the sandwich caps is different from the axisymmetric buckling behavior of the corresponding homogeneous caps.

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Buckling of Spherical Concrete Shells

10.32920/ryerson.14655927.v1 ◽

2021 ◽

Author(s):

Emad Zolqadr

Keyword(s):

American Concrete Institute ◽

Major Effect ◽

Elastic Behavior ◽

Fe Method ◽

Spherical Shells ◽

Load Combination ◽

Buckling Behavior ◽

Buckling Resistance ◽

Support Conditions ◽

Concrete Shells

This study is focused on the buckling behavior of spherical concrete shells (domes) under different loading conditions. The background of analytical analysis and recommended equations for calculation of design buckling pressure for spherical shells are discussed in this study. The finite element (FE) method is used to study the linear and nonlinear response of spherical concrete shells under different vertical and horizontal load combination buckling analysis. The effect of different domes support conditions are considered and investigated in this study. Several dome configurations with different geometry specifications are used in this study to attain reliable results. The resulted buckling pressures from linear FE analysis for all the cases are close to the analytical equations for elastic behavior of spherical shells. The results of this study show that geometric nonlinearity widely affects the buckling resistance of the spherical shells. The effect of horizontal loads due to horizontal component of earthquake is not currently considered in the recommended equation by The American Concrete Institute (ACI) to design spherical concrete shells against buckling. However, the results of this study show that horizontal loads have a major effect on buckling pressure and it could not be ignored.

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An investigation of the complete post-buckling behavior of axisymmetric spherical shells

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00944895 ◽

1985 ◽

Vol 36 (6) ◽

pp. 803-821 ◽

Cited By ~ 12

Author(s):

M. Gräff ◽

R. Scheidl ◽

H. Troger ◽

E. Weinmüller

Keyword(s):

Spherical Shells ◽

Buckling Behavior ◽

Post Buckling

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Buckling and Postbuckling Behavior of Clamped Shallow Spherical Shells Under Axisymmetric Ring Loads

Journal of Applied Mechanics ◽

10.1115/1.3408987 ◽

1971 ◽

Vol 38 (4) ◽

pp. 996-1002 ◽

Cited By ~ 7

Author(s):

N. Akkas ◽

N. R. Bauld

Keyword(s):

Numerical Study ◽

Postbuckling Behavior ◽

Spherical Shells ◽

Concentrated Load ◽

Fixed Ring ◽

Buckling Behavior ◽

Load Carrying ◽

Post Buckling ◽

Shell Parameter ◽

Shell Geometry

This paper presents the results of a numerical study of the buckling and initial post-buckling behavior of clamped shallow spherical shells under axisymmetric ring loads. This behavior is studied for a cap with fixed geometry when the location of the ring load is allowed to vary from the equivalent of a concentrated load at the apex to a location near the midpoint of the shell base radius, and for a fixed ring load location when the shell geometry is allowed to vary. It is found in both studies that a significant range of the geometric shell parameter λ exists such that buckling is accompanied by a loss in load-carrying capacity.

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Creep Buckling of a Complete Spherical Shell

Journal of Applied Mechanics ◽

10.1115/1.3423889 ◽

1976 ◽

Vol 43 (3) ◽

pp. 450-454 ◽

Cited By ~ 3

Author(s):

Norman Jones

Keyword(s):

Spherical Shell ◽

External Pressure ◽

Elastic Instability ◽

Spherical Shells ◽

Critical Mode ◽

Linear Elastic ◽

Buckling Behavior ◽

Creep Buckling ◽

Imperfect Shape ◽

Long Cylindrical Shell

The creep buckling behavior of a complete spherical shell which is subjected to a uniform external pressure is investigated using a perturbation method of analysis. The spherical shell has an arbitrary initial imperfect shape and is made from a material which creeps according to the generalized Norton’s law. It turns out that the critical mode number of the deformed profile is identical to that obtained previously by various authors for the linear elastic instability of complete spherical shells. It also appears that the resistance to creep buckling of complete spherical shells is greater than the resistance of a long cylindrical shell having the same R/h ratio and material properties.

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