The interaction between structures and supporting media is crucial for several engineering
applications. Among existing models, the elastic one originally attributed to Emil Winkler is …

In this paper a mixed method, which combines the state space method and the differential
quadrature method, is proposed for bending and free vibration of arbitrarily thick beams …

Two methods for solving the eigenvalue problems of vibrations and stability of a beam on a
variable Winkler elastic foundation are presented and compared. The first is based on using …

Fully distributed Brillouin-scattering-based optical sensors—eg, Brillouin optical time-
domain analysis (BOTDA) sensors—appear to be promising supplementary tools for the …

Two methods for the solution of beams on variable two-parameter elastic foundation are
presented. The first is based on using the exact shape functions for beams on variable two …

A general solution to vibrations of beams on variable Winkler elastic foundation is
presented. The exact solution of the dynamic response of the beam is obtained by …

This paper presents the dynamic response of an Euler‐Bernoulli beam supported on two‐
parameter Pasternak foundation subjected to moving load as well as moving mass. Modal …

A simplified analytical approach to analyze soil-structure interaction of beam-column
elements (ie, beams, columns, piles, etc.) with generalized end-boundary conditions on a …

Abstract Design of piles under lateral loads requires accurate estimation of the pile
deflections. The Winkler beam model is the most popular mechanical model for piles …

Beams on elastic foundations are applied to a vast number of engineering problems.
Several elastic foundation models are available, from the simplest Winkler element with one …