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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 ...
A. Pronk
openaire   +2 more sources

Vibration response of the exponential functionally graded material plate with variable thickness resting on the orthotropic Pasternak foundation

Mechanics based design of structures and machines, 2023
The manuscript aims to perform the free and forced vibration analysis considering the porosity and orthotropic foundation effect. For the first time, the study is conducted on a variable thickness FGM plate resting on an orthotropic foundation.
V. Kumar   +3 more
semanticscholar   +1 more source

Winkler‐Pasternak foundation effect on the buckling loads of arbitrarily rigid or restrained supported nonlocal beams made of different FGM and porosity distributions

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2023
The present research investigates lateral stability of a functionally graded nanobeam using Eringen's differential nonlocal elasticity model under rigid (clamped, pinned, free) and deformable (lateral, rotational restraints) boundary conditions.
Büşra Uzun, M. Yaylı
semanticscholar   +1 more source

Hypar Shell on Pasternak Foundation

Journal of Engineering Mechanics, 1992
This paper deals with nonlinear static and dynamic analysis of hyperbolic paraboloid shells on Pasternak foundations. The governing differential equation of a hypar shell on a Pasternak foundation is reduced to that of a plate on a double elastic foundation.
D. N. Paliwal, S. N. Sinha, A. Ahmad
openaire   +1 more source

Natural frequencies of Timoshenko beams on pasternak foundations

Journal of Sound and Vibration, 1977
A study of the natural vibrations of a Timoshenko beam on a Pasternak-type foundation is presented. Frequency equations are derived for beams with different end restraints. A specific example is given to show the effects of rotary inertia, shear deformation, and foundation constants on the natural frequencies of the beam.
Wang, T. M., Stephens, J. E.
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Buckling and Vibration of Thick Laminates on Pasternak Foundations

Journal of Engineering Mechanics, 1996
This paper investigates buckling, free vibration, and vibration with initial in-plane loads for moderately thick, simply supported symmetric cross-ply rectangular laminates on Pasternak foundations. The total potential energy functional is derived based on the first-order shear deformation plate theory.
Xiang, Y, Kitipornchai, S, Liew, KM
openaire   +3 more sources

Shallow Spherical Shells on Pasternak Foundation

Journal of Engineering Mechanics, 1986
Static and dynamic analysis of fully clamped shallow spherical shells, subjected to uniform normal pressure on concave side and continuously supported on Pasternak foundation on the convex side, is made using Berger's and modified Berger's techniques.
D. N. Paliwal   +2 more
openaire   +1 more source

Fractional modeling of Pasternak-type viscoelastic foundation

Mechanics of Time-Dependent Materials, 2016
In this paper, we propose a fractional Pasternak-type foundation model to characterize the time-dependent properties of the viscoelastic foundation. With varying fractional orders, the proposed model can govern the traditional Winkler model, Pasternak model, and viscoelastic model.
Wei Cai, Wen Chen, Wenxiang Xu
openaire   +2 more sources

Analytical solution considering the tangential effect for an infinite beam on a viscoelastic Pasternak foundation

Applied Mathematical Modelling, 2020
In this study, the dynamic response of an infinite beam resting on a Pasternak foundation subjected to inclined travelling loads was developed in the form of the analytical solution wherein the tangential effect between the beam and foundation and the ...
Y. Miao   +3 more
exaly   +2 more sources

Circular plates on Pasternak elastic foundations

International Journal for Numerical and Analytical Methods in Geomechanics, 1987
AbstractThis study deals with the geometrically nonlinear axisymmetric static and transient response of cylindrically orthotropic thin circular plates resting on Pasternak elastic foundations subjected to uniformly distributed loads. Clamped and simply‐supported plates with radially movable and immovable edges have been considered.
openaire   +2 more sources

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