StressCheck Tutorial: Displacement-Controlled Buckling Analysis
Abstract: Steps for computing a critical buckling force (Pcr) from a displacement-controlled loading on a column with fixed/fixed end conditions. The steps are as follows:
- Fix the in-plane directions at the loaded end.
- Apply a constant imposed displacement of arbitrary value at the loaded end.
- Solve an eigenvalue buckling analysis.
- Extract the resultant force Fy at the loaded end using the linear elastic solution.
- Scale Fy by the buckling load factor computed via the eigenvalue buckling solution.
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“The p-type element has been used to great advantage in the finite element system ESRD StressCheck®, . This software provides the engineer with the means to conduct solution verification in an extremely straightforward manner by simply increasing the degree of the element, monitoring convergence and using Richardson extrapolation reliably to estimate the error. This can be conducted automatically by the software thereby enabling the engineer to concentrate on the engineering rather than the simulation. StressCheck® has also been used to develop ESRD’s Handbook and Toolbox applications. The first of these provides engineers with a repository of parameterised standard problems of the type found in texts like Roark’s “Formulas for Stress and Strain”, . The second, Toolbox, is a tool that can be used to parameterise a company’s range of components for rapid and reliable analysis by non-expert analysis. Toolbox then is an exemplary of the way in which the democratisation of simulation can be applied.”
Angus Ramsay, PhDEngineering Director, Ramsay Maunder Associates