VIBRATION OF BEAMS, LYING ON THE SOLID NONLOCAL ELASTIC FOUNDATION

Abstract

Now, the calculation of beams, lying on the solid elastic foundation is fulfilled with us- ing different model of elastic foundation. One of the most common is a model, based on the hypothesis of a proportion betweenthe reaction of the foundation at the point with the coordi- nate x and slump at the same point (the hypothesis of Winkler) which however is not accurate enough describes the behavior of structures lying on the solid elastic foundation. In this paper, we consider the problem of beam vibration, lying on the solid nonlocal elastic foundation. We give a comparison of calculation results, obtained with using the pro- posed model and the Winkler model