DYNAMIC BUCKLING AND POSTBUCKLING OF A COMPOSITE SHELL

2010 ◽  
Vol 10 (04) ◽  
pp. 791-805 ◽  
Author(s):  
CHRISTOS C. CHAMIS
Keyword(s):  
Solution Method ◽  
Composite Shell ◽  
Dynamic Buckling ◽  
Dynamic Loads ◽  
Composite Cylindrical Shell ◽  
Buckling Loads ◽  
Loading Rates ◽  
Computer Codes ◽  
Updated Lagrangian ◽  
Composite Mechanics

A computationally effective method for evaluating the dynamic buckling and postbuckling of thin composite shells is described. It is a judicious combination of available computer codes for finite element, composite mechanics and incremental structural analysis. The solution method is an incrementally updated Lagrangian. It is illustrated by applying it to a thin composite cylindrical shell subjected to dynamic loads. Buckling loads are evaluated to demonstrate the effectiveness of the method. A universal plot is obtained for the specific shell that can be used to approximate buckling loads for different dynamic loading rates. Results from this plot show that the faster the rate, the higher the buckling load and the shorter the time. They also show that the updated solution can be carried out in the postbuckling regime until the shell collapses completely. Comparisons with published literature indicate reasonable agreement.

Effects of Solid Viscosities, Loading Velocities and Initial Deflections to Dynamic Buckling Loads of a Column

1969 ◽  
Vol 73 (706) ◽  
pp. 890-894
Author(s):  
Shin-Ichi Suzuki
Keyword(s):  
Dynamic Load ◽  
Analytical Methods ◽  
Dynamic Buckling ◽  
Static Loads ◽  
Buckling Loads ◽  
Load Factors

It is a well-known fact that buckling values for columns under dynamical loads are different from those under static loads. Meier, Gerard and Davidson have already investigated the dynamics of the buckling of elastic columns theoretically and experimentally, and Hoff discussed analytical methods in detail. However, solid viscosities are neglected in all these researches. Previously, the author obtained the relationships between dynamic load factors and solid viscosities, and it was found that their effects on dynamic load factors cannot be neglected. It will be interesting to investigate the relationships between solid viscosities and dynamic buckling values.

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.

Analytical Study on Dynamic Buckling of Cylindrical Shells with General Thickness Variations Subjected to Exponentially Increasing External Pressure

2020 ◽  
Vol 20 (12) ◽  
pp. 2050133
Author(s):  
Licai Yang ◽  
Ying Luo ◽  
Tian Qiu ◽  
Hao Zheng ◽  
Yang Qiu
Keyword(s):  
Cylindrical Shells ◽  
Analytical Investigation ◽  
External Pressure ◽  
Variable Coefficients ◽  
Dynamic Buckling ◽  
Thickness Variation ◽  
Power Exponent ◽  
Buckling Loads ◽  
Critical Dynamic ◽  
Thickness Variations

This paper presents an analytical investigation on dynamic buckling of cylindrical shells with general thickness variations under exponentially increasing external pressure over the time. Different from the previous studies in literatures, the shell thickness varies arbitrarily and is common in actual engineering, which leads to failure of the existing methods. A new analytical method is first developed to solve the fourth-order governing partial differential equations with variable coefficients for the shell subjected to varying external pressure. Then the asymptotic formulae for dynamic buckling loads considering general thickness variations are derived and expressed by geometry sizes of the shell and thickness variation functions. To validate the presented results, two specific non-axisymmetric thickness cases are discussed in detail. The critical dynamic buckling loads show a great agreement with the previous ones by other researchers for simple and axial thickness variation situation. Finally, example calculations and parametric discussion are performed, and influences of thickness variation types, speed of external pressure and the power exponent of time on the critical dynamic buckling loads are discussed.

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