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A contact problem: the elastic beam on one-sided pasternak foundation
Applicable Analysis, 1982We study the problem of the elastic beam on a unilateral Pasternak foundation.
MACERI F, TOSCANO R, MACERI, Aldo
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Advances in Applied Mathematics and Mechanics, 2021
Summary: In this paper, the vibration characteristics of beams with arbitrarily and continuously varying thickness and resting on Pasternak elastic foundations were analytically studied based on the elasticity theory directly. The general expression of stress function, which exactly satisfies the governing differential equations and the boundary ...
Li, Zhiyuan, Xu, Yepeng, Huang, Dan
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Summary: In this paper, the vibration characteristics of beams with arbitrarily and continuously varying thickness and resting on Pasternak elastic foundations were analytically studied based on the elasticity theory directly. The general expression of stress function, which exactly satisfies the governing differential equations and the boundary ...
Li, Zhiyuan, Xu, Yepeng, Huang, Dan
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Thermodynamical Bending of FGM Sandwich Plates Resting on Pasternak's Elastic Foundations
Advances in Applied Mathematics and Mechanics, 2015Summary: The analysis of thermoelastic deformations of a simply supported functionally graded material (FGM) sandwich plates subjected to a time harmonic sinusoidal temperature field on the top surface and varying through-the-thickness is illustrated in this paper.
Sobhy, Mohammed, Zenkour, Ashraf M.
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Vibrations of an Euler-Bernoulli Nanobeam on a Winkler/Pasternak-Type Elastic Foundation
2018 IEEE 13th Annual International Conference on Nano/Micro Engineered and Molecular Systems (NEMS), 2018A non-local Euler-Bernoulli nanobeam theory is used to calculate free vibrations for a beam resting on a Winkler/Pasternak-type elastic foundation. On using Hamilton's Principle, the nonlinear equation of motion, which includes terms for stretching of the neutral axis, is derived. The Adomian modified decomposition method is applied to solve the fourth-
Desmond Adair +3 more
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Clamped Plates on Pasternak-Type Elastic Foundation by the Boundary Element Method
Journal of Applied Mechanics, 1986A boundary element solution is developed for the analysis of thin elastic clamped plates of any shape resting on a Pasternak-type elastic foundation. The plate may have holes and it is subjected to concentrated loads, line loads, and distributed loads. The analysis is complete, i.e., deflections, stress resultants, subgrade reactions, and reactions on ...
Katsikadelis, J. T., Kallivokas, L. F.
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Thermal posybuckling of rectangular plates on pasternak elastic foundations
Mechanics Research Communications, 1988Thermal postbuckling of thin plates has not been studied extensively. Axisymmetric thermal postbuckling of circular plates and doubly-symmetric thermal postbuckling of square plates on Winkler foundations have been investigated by \textit{K. K. Raju} and \textit{G. V. Rao} [Comput. Struct.
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Acta Mechanica, 2009
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Zenkour, Ashraf M. +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zenkour, Ashraf M. +2 more
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Circular Elastic Plate Resting on Tensionless Pasternak Foundation
Journal of Engineering Mechanics, 2004In this technical note, a thin circular plate resting on a two-parameter (Pasternak-type) foundation is studied under concentrated central and distributed loads. The governing equations of the plate are derived for static loading case considering the lift off (uplift) of the plate from the foundation.
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Physica Scripta, 2023
Abstract This study investigates the free vibrations of elastically constrained shear and Rayleigh beams placed on the Pasternak foundation. Of particular interest, it is aimed to analyze the influence of shear strain, rotational inertia, elastic stiffness, and shear layer on the natural frequencies and eigenmodes of beam vibrations. For
Gulnaz Kanwal +3 more
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Abstract This study investigates the free vibrations of elastically constrained shear and Rayleigh beams placed on the Pasternak foundation. Of particular interest, it is aimed to analyze the influence of shear strain, rotational inertia, elastic stiffness, and shear layer on the natural frequencies and eigenmodes of beam vibrations. For
Gulnaz Kanwal +3 more
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Large Deflection of a Rectangular Plate Resting on a Pasternak-Type Elastic Foundation
Journal of Applied Mechanics, 1977The problem of large deflection of a rectangular plate resting on a Pasternak-type foundation and subjected to a uniform lateral load has been investigated by utilizing the linearized equation of plates due to H. M. Berger. The solutions derived and based on the effect of the two base parameters have been carried to practical conclusions by presenting ...
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