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Vibrations of continuous Timoshenko beams on Winkler-Pasternak foundations

Journal of Sound and Vibration, 1978
Abstract The dynamic analysis of continuous Timoshenko beams on Winkler-Pasternak foundations by means of the general dynamic slope-deflection equations is presented. A three-span continuous beam on a Winkler-Pasternak foundation subjected to free and forced vibrations is used to illustrate the application of the proposed method and to show the ...
Wang, T. M., Gagnon, L. W.
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Green's Function for an Infinite Elastic Plateon Winkler's Foundation

Journal of Engineering Mechanics, 2001
In this technical note, an infinite thick plate on Winkler's foundation is studied. The effect of shear between the plate and the foundation on the deflection and the stresses is analyzed. It is assumed that the foundation has a stiffness k (the force needed to produce a unit displacement per area) and reacts in compression as well as tension.
Xianbing Liu, Roman Solecki
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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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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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Natural Frequencies of Railway Slab on Winkler Foundation

Applied Mechanics and Materials, 2014
Natural frequencies and natural modes represent the basic dynamic characteristics of all dynamic systems. They define the dynamic individuality of dynamic system. It is useful to know approximate relations giving the results with adequate accuracy. The analysis of plates in contact with elastic foundation is the part of structural dynamic which demands
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Differential quadrature method for Mindlin plates on Winkler foundations

International Journal of Mechanical Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liew, K. M.   +3 more
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Nonaxisymmetric Unbonded Contact of Plates on Tensionless Winkler Foundations*

Mechanics of Structures and Machines, 1994
ABSTRACT The unbonded contact problem for an annular plate resting on a tensionless Winkler elastic foundation is investigated. The problem is solved by minimizing the total potential energy of the plate-foundation system. Two alternative functions that include either Bessel or Kelvin functions are used to define the plate displacement. By satisfying a
A. A. Khathlan, H. A. Waly
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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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Rectangular thick plates on winkler foundation: differential quadrature element solution

International Journal of Solids and Structures, 2000
Abstract This paper deals with the static analysis of homogenous isotropic rectangular plates on Winkler foundation on the basis of first-order shear deformation theory. An improved differential quadrature (DQ) method, called the differential quadrature element method (DQEM), has been developed for this analysis.
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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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