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Nonlinear vibrations of viscoelastic rectangular plates
M Amabili - Journal of Sound and Vibration, 2016 - Elsevier
Nonlinear vibrations of viscoelastic thin rectangular plates subjected to normal harmonic
excitation in the spectral neighborhood of the lowest resonances are investigated. The von …
excitation in the spectral neighborhood of the lowest resonances are investigated. The von …
Nonlinear higher-order shell theory for incompressible biological hyperelastic materials
In the present study, a geometrically nonlinear theory for circular cylindrical shells made of
incompressible hyperelastic materials is developed. The 9-parameter theory is higher-order …
incompressible hyperelastic materials is developed. The 9-parameter theory is higher-order …
Nonlinear mechanics of sandwich plates: Layerwise third-order thickness and shear deformation theory
The nonlinear mechanics of sandwich plates is studied using a layerwise third-order
thickness and shear deformation theory. In particular, the two face sheets are modelled …
thickness and shear deformation theory. In particular, the two face sheets are modelled …
Nonlinear analysis of cylindrical sandwich shells with porous core and CNT reinforced face-sheets by higher-order thickness and shear deformation theory
This paper presents the nonlinear static analysis of circular cylindrical sandwich shells using
a higher-order thickness and shear deformation theory with nine kinematic parameters. The …
a higher-order thickness and shear deformation theory with nine kinematic parameters. The …
Nonlinear vibrations and stability of laminated shells using a modified first-order shear deformation theory
M Amabili - European Journal of Mechanics-A/Solids, 2018 - Elsevier
An original and consistent first-order shear deformation theory that retains all the nonlinear
terms in the in-plane displacements and rotations is presented here. The theory is …
terms in the in-plane displacements and rotations is presented here. The theory is …
Static and dynamic behavior of circular cylindrical shell made of hyperelastic arterial material
Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial
material are studied. The material is modeled as a combination of Neo-Hookean and Fung …
material are studied. The material is modeled as a combination of Neo-Hookean and Fung …
Experimental and numerical study on vibrations and static deflection of a thin hyperelastic plate
The hyperelastic behavior of a thin square silicone rubber plate has been investigated
analytically, numerically and experimentally; the case of small-amplitude vibrations has …
analytically, numerically and experimentally; the case of small-amplitude vibrations has …
A new third-order shear deformation theory with non-linearities in shear for static and dynamic analysis of laminated doubly curved shells
M Amabili - Composite Structures, 2015 - Elsevier
A geometrically nonlinear theory is developed for shells of generic shape allowing for third-
order shear deformation and rotary inertia by using five parameters: in-plane and transverse …
order shear deformation and rotary inertia by using five parameters: in-plane and transverse …
Computing static behavior of flexible rectangular von Karman plates in fast and reliable way
In this paper, several modifications of the Bubnov–Galerkin method for studying flexible
rectangular plates have been constructed and validated. This is to overcome the challenges …
rectangular plates have been constructed and validated. This is to overcome the challenges …
Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane
This work presents the mathematical modeling, based on a variational formulation, for the
analysis of the nonlinear static and dynamic breathing motions of a hyperelastic spherical …
analysis of the nonlinear static and dynamic breathing motions of a hyperelastic spherical …