Abstract:
When calculating beams lying on a solid elastic foundation, the simplest foundation model
proposed by Winkler-Zimmerman is often used. This hypothesis has been repeatedly subjected to wellfounded criticism, because the deformation of the base occurs only in the area of the load applied to it. In
order to clarify the Winkler-Zimmerman hypothesis, many authors have proposed other models that allow
mitigating the disadvantage of this model to varying degrees. The paper deals with the method of obtaining
an analytical solution to the problem of beam bending on a two-parameter elastic foundation. A new version
of the elastic foundation model is proposed. The account of the elastic foundation is produced by means of
parameter of the flexural rigidity. The resolving differential equation of bending of beams resting on a twoparameter elastic foundation is obtained. An analytical solution for this equation is derived, and solutions for
various boundary conditions of beams resting on a two-parameter elastic foundation are discussed. The
accuracy of the proposed method is verified through examples, and they showed an excellent agreement with
the Winkler and Vlasov models.
