Timoshenko beam under Winkler foundation
Résumé
We are interested in buckling for Timoshenko beam supported along its length by an elastic wall (Winkler foundation) and subjected to a longitudinal force. We use analytical methods to determine buckling load and mode shape rather than numerical methods. Haringx and Engesser models are compared. We show that the rigidity of the wall solely gouverns the phenomena and that the two models are equivalent whatever the parameters of the problem.
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