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Vibration Analysis of Functionally Graded Timoshenko Beams on Winkler–Pasternak Elastic Foundation

Iranian Journal of Science and Technology, Transactions of Civil Engineering, 2019
This paper aims to analyze dynamic response of axially functionally graded (FG) Timoshenko beams on Winkler–Pasternak elastic foundation. Spring constant and material inhomogeneity are used as research parameters in the dynamic analysis. In this study, ODEs in Laplace domain are calculated by using complementary functions method.
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Free vibration analysis of a magneto-electro-elastic doubly-curved shell resting on a Pasternak-type elastic foundation

Smart Materials and Structures, 2014
Free vibration of a simply-supported magneto-electro-elastic doubly-curved thin shell resting on a Pasternak foundation is investigated based on Donnell theory. The rotary inertia effect is considered in the formulation. Maxwell equations for electrostatics and magnetostatics are used to model the electric and magnetic behavior.
Soheil Razavi, Alireza Shooshtari
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Benchmark solutions for functionally graded thick plates resting on Winkler–Pasternak elastic foundations

Composite Structures, 2008
Abstract Exact solutions for functionally graded thick plates are presented based on the three-dimensional theory of elasticity. The plate is assumed isotropic at any point, while material properties to vary exponentially through the thickness. The system of governing partial differential equations is reduced to an ordinary one about the thickness ...
Z.Y. Huang, C.F. Lü, W.Q. Chen
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On the disturbances in a thin elastic circular plate resting on a viscoelastic foundation of Pasternak type

pure and applied geophysics, 1969
In this paper disturbances due to impulsive as well as transient load in a thin elastic finite circular plate resting on viscoelastic foundation of Pasternak type have been considered separately.
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On buckling of porous double-layered FG nanoplates in the Pasternak elastic foundation based on nonlocal strain gradient elasticity

Composites Part B: Engineering, 2018
Abstract In the present investigation, the buckling behaviours of porous double-layered functionally graded nanoplates in hygrothermal environment are presented for the first time. The nonlocal strain gradient theory with two material scale parameters is developed to examine buckling behaviour much accurately.
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Vibration of circular sandwich plates with FG face sheets on the Pasternak elastic foundation

In this paper, the free vibration behaviour of the circular sandwich plates with two functionally graded face sheets on the Pasternak elastic foudation is investigated in a clamped boundary condition based on a high order sandwich plate theory. By considering the inplane stresses of the core the theory is modified and the obtained equation is more ...
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The effect of considering Pasternak elastic foundation on acoustic insulation of the finite doubly curved composite structures

Composite Structures, 2021
MohamadReza Zarastvand   +2 more
exaly  

Improvement of the low-frequency sound insulation of the poroelastic aerospace constructions considering Pasternak elastic foundation

Aerospace Science and Technology, 2021
MohamadReza Zarastvand   +2 more
exaly  

DYNAMIC ANALYSIS OF HETEROGENEOUS ANISOTROPIC PLATES RESTING ON THE PASTERNAK ELASTIC FOUNDATION

2018
   In this study, the effects of elasticfoundation on the frequencies of the heterogeneous orthotropic plates usingshear deformation plate theory are investigated. Pasternak elastic foundationmodel is used to define the reaction of two-parameter elastic media on theplate. The formulation of the problem is based on the Donnell type platetheory.
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