Dynamic Buckling of Externally Pressurized Imperfect Cylindrical Shells

1975 ◽  
Vol 42 (2) ◽  
pp. 316-320 ◽  
Author(s):  
D. Lockhart ◽  
J. C. Amazigo
Keyword(s):  
Asymptotic Expression ◽  
Cylindrical Shells ◽  
Simple Relation ◽  
Dynamic Buckling ◽  
Fourier Component ◽  
Buckling Load ◽  
Buckling Mode ◽  
Geometric Imperfections ◽  
Circular Cylindrical Shells ◽  
Step Loading

The dynamic buckling of imperfect finite circular cylindrical shells subjected to suddenly applied and subsequently maintained lateral or hydrostatic pressure is studied using a perturbation method. The geometric imperfections are assumed small but arbitrary. A simple asymptotic expression is obtained for the dynamic buckling load in terms of the amplitude of the Fourier component of the imperfection in the shape of the classical buckling mode. Consequently, for small imperfection, there is a simple relation between the dynamic buckling load under step-loading and the static buckling load. This relation is independent of the shape of the imperfection.

Dynamic Buckling of a Damped Externally Pressurized Imperfect Cylindrical Shell

1979 ◽  
Vol 46 (2) ◽  
pp. 372-376 ◽  
Author(s):  
D. F. Lockhart
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Asymptotic Expression ◽  
Simple Relation ◽  
Dynamic Buckling ◽  
Fourier Component ◽  
Buckling Mode ◽  
Buckling Loads ◽  
Imperfect Cylindrical Shell ◽  
Step Loading

The dynamic buckling of a finite damped imperfect circular cylindrical shell which is subjected to step-loading in the form of lateral or hydrostatic pressure is examined by means of a perturbation method. The imperfection is assumed to be small. An asymptotic expression for the dynamic buckling load is obtained in terms of the damping coefficient and the Fourier component of the imperfection in the shape of the classical buckling mode. A simple relation which is independent of the imperfection is then obtained between the static and dynamic buckling loads.

Static and Dynamic Buckling of a Fiber Embedded in a Matrix With Interface Debonding

1993 ◽  
Vol 115 (3) ◽  
pp. 297-301
Author(s):  
Y. W. Kwon ◽  
M. Serttunc
Keyword(s):  
Dynamic Instability ◽  
Interfacial Debonding ◽  
Dynamic Buckling ◽  
Buckling Load ◽  
Interface Debonding ◽  
Buckling Mode ◽  
Simply Supported ◽  
Surrounding Matrix ◽  
Foundation Model ◽  
Dynamic Instability Domain

Analyses were performed for static and dynamic buckling of a continuous fiber embedded in a matrix in order to determine effects of interfacial debonding on the critical buckling load and the domain of instability. A beam on elastic foundation model was used for the study. The study showed that a local interfacial debonding between a fiber and a surrounding matrix resulted in an increase of the wavelength of the buckling mode. An increase of the wavelength yielded a decrease of the static buckling load and lowered the dynamic instability domain. In general, the effect of a partial or complete interfacial debonding on the domain of dynamic instability was more significant than its effect on the static buckling load. For dynamic buckling of a fiber, a local debonding of size 10 to 20 percent of the fiber length had the most important influence on the domains of dynamic instability regardless of the location of debonding and the boundary conditions of the fiber. For static buckling, the location of a local debonding was critical to a free, simply supported fiber, but not to a fiber with both ends simply supported.

Initial Postbuckling Behavior of Imperfect, Antisymmetric Cross-Ply Cylindrical Shells Under Torsion

1987 ◽  
Vol 54 (1) ◽  
pp. 174-180 ◽  
Author(s):  
David Hui ◽  
I. H. Y. Du
Keyword(s):  
Cylindrical Shells ◽  
Elastic Stability ◽  
Buckling Load ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Torsional Buckling ◽  
Buckling Mode ◽  
Young’S Moduli ◽  
Coupling Behavior ◽  
Parameter Variations

This paper deals with the initial postbuckling of antisymmetric cross-ply closed cylindrical shells under torsion. Under the assumptions employed in Koiter’s theory of elastic stability, the structure is imperfection-sensitive in certain intermediate ranges of the reduced-Batdorf parameter (approx. 4 ≤ ZH ≤ 20.0). Due to different material bending-stretching coupling behavior, the (0 deg inside, 90 deg outside) two-layer clamped cylinder is less imperfection sensitive than the (90 deg inside, 0 deg outside) configuration. The increase in torsional buckling load due to a higher value of Young’s moduli ratio is not necessarily accompanied by a higher degree of imperfection-sensitivity. The paper is the first to consider imperfection shape to be identical to the torsional buckling mode and presents concise parameter variations involving the reduced-Batdorf paramter and Young’s moduli ratio.

Asymptotic Formulas for the Buckling Stresses of Axially Compressed Cylinders With Localized or Random Axisymmetric Imperfections

1972 ◽  
Vol 39 (1) ◽  
pp. 179-184 ◽  
Author(s):  
J. C. Amazigo ◽  
B. Budiansky
Keyword(s):  
Cylindrical Shells ◽  
Asymptotic Formulas ◽  
Buckling Mode ◽  
Axial Buckling ◽  
Axisymmetric Buckling ◽  
Circular Cylindrical Shells

Formulas are presented for the axial buckling stresses of long circular cylindrical shells having localized or random axisymmetric imperfections. The results are asymptotic in character, applicable only for sufficiently small magnitudes of the imperfections. The formulas found are discussed and compared with earlier results obtained by Koiter for the case of an imperfection in the shape of the axisymmetric buckling mode.

Buckling Analysis of Laminated Circular Cylindrical Shells Using a Two-Surface Theory

2002 ◽  
Vol 30 (2) ◽  
pp. 171-183 ◽  
Author(s):  
X. Huang ◽  
G. Lu
Keyword(s):  
Circular Cylindrical Shell ◽  
Buckling Analysis ◽  
Buckling Load ◽  
Normal Displacement ◽  
Double Trigonometric Series ◽  
Buckling Mode ◽  
Surface Theory ◽  
Shallow Shells ◽  
Thin Walls ◽  
Circular Cylindrical Shells

In this paper a simple and efficient method is used for buckling analysis of a laminated circular cylindrical shell based on a two-surface theory. The governing buckling equations are expressed in terms of stress function (φ) and normal displacement (w). These two basic unknowns are solved using double trigonometric series, which satisfy the boundary conditions. The Galerkin procedure is then used to determine the buckling load and buckling mode. Comparison of the obtained numerical results with those given in the literature shows that the two-surface theory gives a fairly good estimate of critical load, especially for shells with thin walls. A slightly revised two-surface theory for non-shallow shells is also presented, which yields a better estimate of buckling load.

Dynamic Buckling of Elastic Cylindrical Shells under Axial Step Load

2015 ◽  
Vol 751 ◽  
pp. 182-188
Author(s):  
Jia Qun Wang ◽  
Zhi Jun Han ◽  
Guo Yun Lu
Keyword(s):  
Critical Load ◽  
Cylindrical Shells ◽  
Ritz Method ◽  
Coefficient Matrix ◽  
Dynamic Buckling ◽  
Governing Equations ◽  
Space Technique ◽  
Circular Cylindrical Shells ◽  
The Relationship ◽  
Axial Waves

Considering the effect of stress wave, the dynamic buckling of circular cylindrical shells under an axial step load is discussed using the classical shell theories and the state-space technique in the paper. Based on the Hamilton’s principle, the dynamic buckling governing equations of shells are derived and solved with the Rayleigh-Ritz method. If the linear homogeneous equations have a non-trivial solution, the determinant of the coefficient matrix must be equal to zero, so the expression of the critical load on the dynamic buckling is got. The relationship between the critical load and length is obtained by using MATLAB software. The influences of boundary conditions, thickness, the number of circumferential waves and the number of axial waves on the dynamic buckling loads are discussed based on numerical computation.

Influence of the Yield Function Nonlinearity and Temperature in Dynamic Buckling of Viscoplastic Cylindrical Shells

1984 ◽  
Vol 51 (1) ◽  
pp. 114-120 ◽  
Author(s):  
W. Wojewo´dzki ◽  
R. Bukowski
Keyword(s):  
Elevated Temperature ◽  
Cylindrical Shells ◽  
Yield Function ◽  
Dynamic Buckling ◽  
Buckling Mode ◽  
Asymmetrical Mode ◽  
Theoretical Results

A viscoplastic theory of dynamic buckling is developed for cylindrical shells subjected to uniform radially inward impulses. The influence of the yield function nonlinearity and elevated temperature on the magnitude of displacements, buckling mode, and threshold impulse is investigated. Asymmetrical and axisymmetrical modes of buckling are considered. The asymmetrical mode is proved to exist. The obtained theoretical results are compared with existing experiments.

Sign in / Sign up

Export Citation Format

Share Document