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Interpolation-Element for Beam on Winkler Elastic Foundation
Applied Mechanics and Materials, 2013On 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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Fuzzy Behavior of Beams on Winkler Foundation
Journal of Engineering Mechanics, 1991This 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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Beam‐Column Element on Weak Winkler Foundation
Journal of Engineering Mechanics, 1989In 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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Natural Frequencies of Railway Slab on Winkler Foundation
Applied Mechanics and Materials, 2014Natural 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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Monte Carlo Simulation of Beams on Winkler Foundation
1991Modulus 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 mixed finite element formulation for timoshenko beam on winkler foundation
Computational Mechanics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ergüven, M. E., Gedikli, A.
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A boundary integral equation formulation for thick plates on a winkler foundation
Computers & Structures, 1993A 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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Unilateral plate contact with the elastic-plastic winkler-type foundation
Computers & Structures, 1991Abstract In this work contact problems of a plate with the elastic-plastic Winkler-type foundation has been solved. An unilateral character of bonds between plate and foundation has been taken into consideration. The effect of friction forces in the contact plane has been neglected and an incremental approach has been applied.
Lewandowski, R., Świtka, R.
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Dynamic stability of a rectangular plate on non-homogeneous winkler foundation
Computers & Structures, 1997Summary: We study the dynamic stability of a rectangular plate on non-homogeneous foundation, subjected to uniform compressive in-plane bi-axial dynamic loads and supported on completely elastically restrained boundaries. The non-homogeneous foundation consists of two regions having different stiffnesses but symmetric about the centre lines of the ...
Saha, K. N., Kar, R. C., Datta, P. K.
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Stability and dynamics of beams on winkler elastic foundations
Earthquake Engineering & Structural Dynamics, 1989AbstractThe dynamical properties of a foundation beam on a Winkler soil have been recently discussed by using the power series method14 and the finite element method.15, 17 – 19 The first method can be applied only if the Winkler soil is linearly distributed along the whole span: on the contrary, the second method is more general, but it requires ...
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