Elastic and viscoelastic foundations: a review on linear and nonlinear vibration modeling and applications

D Younesian, A Hosseinkhani, H Askari… - Nonlinear …, 2019 - Springer
This paper presents a comprehensive review on different theoretical elastic and viscoelastic
foundation models in oscillatory systems. The review covers the simplest foundation models …

Static analysis of laminated composite beams based on higher-order shear deformation theory by using mixed-type finite element method

A Özütok, E Madenci - International Journal of Mechanical Sciences, 2017 - Elsevier
In this paper, mixed finite element (MFEM) equations which are based on a functional are
obtained by using the Gâteaux differential (GD) for laminated composite beams. Higher …

Free bending vibration analysis of thin bidirectionally exponentially graded orthotropic rectangular plates resting on two-parameter elastic foundations

VC Haciyev, AH Sofiyev, N Kuruoglu - Composite Structures, 2018 - Elsevier
The vibration of biderctionally exponentially graded orthotropic plates (BEGOPs) resting on
the two-parameter elastic foundation is studied. Pasternak elastic foundation (PEF) model is …

Buckling and free vibration analysis of symmetric and antisymmetric laminated composite plates on an elastic foundation

SS Akavci - Journal of Reinforced Plastics and Composites, 2007 - journals.sagepub.com
Buckling and free vibration analysis of simply supported symmetric and antisymmetric cross-
ply thick composite plates on elastic foundation are examined by a new hyperbolic …

Dynamic response of shear deformable laminated plates under thermomechanical loading and resting on elastic foundations

HS Shen, JJ Zheng, XL Huang - Composite Structures, 2003 - Elsevier
This paper deals with the dynamic response of shear deformable laminated plates exposed
to thermomechanical loading and resting on a two-parameter (Pasternak-type) elastic …

Warping included mixed finite elements for bending and stresses of functionally graded exact curved beams

UN Aribas, M Atalay, MH Omurtag - Mechanics of Advanced …, 2024 - Taylor & Francis
This study presents a warping included mixed finite element formulation for the static and
stress analyses of functionally graded (FG) exact curved beams. Another distinctive feature …

Bending of cross-ply laminated plates resting on elastic foundations under thermo-mechanical loading

AM Zenkour, MNM Allam, AF Radwan - International Journal of Mechanics …, 2013 - Springer
This article investigates the bending response of an orthotropic rectangular plate resting on
two-parameter elastic foundations under thermo-mechanical loadings. Analytical solutions …

Dynamic stiffness formulation for vibration analysis of thick composite plates resting on non-homogenous foundations

TI Thinh, MC Nguyen, DG Ninh - Composite Structures, 2014 - Elsevier
This research presents new continuous elements for thick laminated plates on a Pasternak
or a non-homogeneous foundation using the Dynamic Stiffness Method (DSM). The non …

Vibration of rectangular Mindlin plates resting on non-homogenous elastic foundations

Y Xiang - International journal of mechanical sciences, 2003 - Elsevier
This paper is concerned with the vibration behaviour of rectangular Mindlin plates resting on
non-homogenous elastic foundations. A rectangular plate is assumed to rest on a non …

On the simple and mixed first-order theories for plates resting on elastic foundations

AM Zenkour, MNM Allam, MO Shaker, AF Radwan - Acta Mechanica, 2011 - Springer
This article investigates the bending response of an orthotropic rectangular plate resting on
two-parameter elastic foundations. Analytical solutions for deflection and stresses are …