Features of stability loss of structures on an elastic foundation

Abstract

Abstract The features of stability loss for some models of structures on the elastic foundation (e.g. ground) modeled using the Winkler’s foundation were researched. The first model of the structure is given in form of Mises’s truss. The second one is presented as the sloping arc stressed by horizontal load. The pressure related to the deformation was considered. Researches to see how system loses stability were made. In case of Mises’s truss, the solution is obtained in algebraic form. In case of arc the solution is represented in integral-differential form. Methods to solve them are suggested. Computational investigations are made. The method of getting the critical values for load was given. It was discovered that for the lengths big enough the stability loss is accompanied by the “crackling”.