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Performance of Rocking Shallow Foundations and the Evolution of Beam-on-Nonlinear-Winkler Foundation Modeling

Transportation Research Record: Journal of the Transportation Research Board, 2022
The nonlinear behavior of shallow bridge and building foundations under large-amplitude seismic loading is an important aspect of performance-based earthquake engineering. Soil yielding beneath foundations can be an effective energy dissipation mechanism; however, this yielding may lead to excessive permanent deformations.
Chad William Harden, Andres Lozano
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Fuzzy Behavior of Beams on Winkler Foundation

Journal of Engineering Mechanics, 1991
This paper addresses and solves the classical beam‐on Winkler‐foundation problem with fuzzy definitions for the Winkler‐spring stiffness, the flexural rigidity of the beam, and the concentrated load. The paper demonstrates through an example the extension of the classical solutions to include fuzzy quantities.
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THE PASTERNAK FOUNDATION An Attractive Alternative for the Winkler Foundation

Proceedings of the International Conference on Concrete Pavements
In this paper the Pasternak Foundation model is described. In this two parameter model the reaction of the foundation is determined by a vertical spring constant k (the modulus of subgrade reaction in the Winkler Foundation) in combination with a parameter k0 which can be seen as a horizontal linkage of the vertical springs (comparable to the function ...
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Statistical analysis of a circular plate on a random winkler foundation

Computers & Structures, 1993
Statistical analysis of the problem of a circular plate on a random Winkler support is presented using the small fluctuation approximation technique. In particular, we consider the specific case of an infinite circular plate loaded by a uniform circumferential load.
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Methodology to Evaluate First Transition Foundation Stiffness for Columns on Winkler Foundation

Journal of Structural Engineering, 2002
A methodology is developed in this paper to evaluate the first transition foundation stiffness for columns subjected to end concentrated loads, on a Winkler foundation, where the buckling mode shape changes. The method is based on earlier work of Naidu and Rao to predict the fundamental frequency of beam columns, wherein it was assumed that the mode ...
G. Venkateswara Rao, R. Neetha
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Beam‐Column Element on Weak Winkler Foundation

Journal of Engineering Mechanics, 1989
In this study an efficient beam-column on elastic foundation was derived using the exact displacement function obtained from the solution of the governing differential equation. The stiffness matrix and nodal load vector of the element are derived explicitly, and the detailed equations for the determination of the deflected shape, shearing force, and ...
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Interpolation-Element for Beam on Winkler Elastic Foundation

Applied Mechanics and Materials, 2013
On the basis of the deformation characteristics of Euler and Timoshenko beams on Winkler elastic foundation, the displacement shape functions were created. Lagrange interpolation function was used for the deformation in the axial direction, and Hermite interpolation function was applied in the bending direction.
Xiao Li   +3 more
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Monte Carlo Simulation of Beams on Winkler Foundation

1991
Modulus of subgrade reaction and displacement of a beam foundation are considered respectively as input and output random functions, connected by a non-linear fourth order operator. Relevant statistics of the output random functions are obtained through a Monte Carlo simulation, based on a Direct Boundary Element formulation of the problem, non-linear ...
P. de Simone, A. Ghersi, R. Mauro
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A boundary integral equation formulation for thick plates on a winkler foundation

Computers & Structures, 1993
A boundary integral equation formulation for thick plates on a Winkler foundation is presented. With the aid of the Hörmander operator method, a set of differential equations to find the fundamental solutions of thick plates on a Winkler foundation is converted into a sixth-order partial differential equation with one scalar function as an unknown. The
Wang, Jianguo   +2 more
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Beam on viscoelastic foundation: an extension of Winkler’s model

Archive of Applied Mechanics, 2009
Models in the field of Applied Mechanics originate less from thought experiments but rather from technical problems. So does the so-called Winkler model: elastic beam on deformable foundation. It stems from the then (1870) High Technology the railway system.
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