Journal ArticleDOI
Finite Beam-Columns on Elastic Foundations
TLDR
In this paper, a series of the appropriate characteristic functions of beam vibration are used for beams with different types of end conditions, such as axial and transverse loads, for continuous beam-columns and for continuous varying flexural and foundation stiffnesses.Abstract:
Beam-columns of finite length resting on elastic foundation are analyzed by a series method. The series of the appropriate characteristic functions of beam vibration are used for beams with different types of end conditions. The method is shown to be applicable to continuous beam-columns and to the beam-columns with distributed axial and transverse loads. Cases of continuously varying flexural and foundation stiffnesses are also covered. A method is suggested for the calculation of the buckling loads of beam-columns. The method is illustrated by several numerical examples.read more
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Journal ArticleDOI
Analysis of a beam column on elastic foundation
TL;DR: In this article, an exact analytical solution of a finite element beam column resting on a Winkler foundation is performed from which the exact stiffness terms are determined, and the stiffness matrix is incorporated into a common beam program.
Journal ArticleDOI
Analytical solution for the elastic bending of beams lying on a variable Winkler support
Diego Froio,Egidio Rizzi +1 more
TL;DR: In this article, the analytical solution of the ordinary differential equation describing the static deflection of a simply-supported Euler-Bernoulli elastic beam lying on a variable Winkler elastic foundation is sought.
Journal ArticleDOI
Flexure of beams resting on hyperbolic elastic foundations
K.P. Soldatos,A.P.S. Selvadurai +1 more
TL;DR: In this article, a perturbation technique is used to solve the nonlinear differential equation associated with the flexure of a Bernoulli-Euler beam resting on a nonlinear Winkler-type foundation.
Structural Dynamics Modelization of One-Dimensional Elements on Elastic Foundations under Fast Moving Load
TL;DR: In this paper, structural dynamics analysis of one-dimensional elements (strings, beams) on continuous elastic support under high-velocity moving load is the main subject of the present doctoral dissertation.
Journal ArticleDOI
Analytical solutions for piles’ lateral deformations: The nonlinear stiffness case
TL;DR: In this article , the Winkler beam model is used to model piles under lateral loads embedded in soils with stiffness that does not linearly depend on depth, and the analytical solution of the governing Ordinary Differential Equation is derived and represented in explicit closed-form in terms of generalized hypergeometric functions.