A Method for Determining the Lower Bound Dynamic Buckling Loads of Imperfection-Sensitive Structures

1997 ◽  
Vol 77 (6) ◽  
pp. 447-456 ◽  
Author(s):  
B. Wu
Keyword(s):  
Lower Bound ◽  
Dynamic Buckling ◽  
Buckling Loads

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.

On Buckling Loads of Timoshenko Columns with Elastically Supported Ends

2012 ◽  
Vol 446-449 ◽  
pp. 578-581
Author(s):  
Hua Zhang ◽  
Xiang Fang Li
Keyword(s):  
Lower Bound ◽  
Closed Form ◽  
Upper Bound ◽  
Intermediate State ◽  
Critical Loads ◽  
Compressive Force ◽  
Buckling Loads ◽  
Characteristic Equations ◽  
The Stability ◽  
Elastically Supported

The stability of Timoshenko columns with elastically supported ends under axially compressive force is analyzed. Characteristic equations are obtained according to an intermediate state between Haringx’s and Engesser’s models. For clamped-free, clamped-clamped, and pinned-pinned columns, buckling loads are given in closed form. The influences of elastic restraint stiffness on the critical loads are elucidated. Haringx’s and Engesser’s models are two extreme cases of the present. Critical buckling loads using Haringx’s model are upper bound, and those using Engesser’s model are lower bound.

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.

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