Free vibration of foam plates on viscoelastic foundations considering thickness stretching

In this work, we study the thickness-stretching effects for vibrational behaviors of open-cell foam plates resting on the visco-Pasternak foundation. The kinematic relations consist of shear and normal deformation theory with hyperbolic functions and normal strains in the thickness directions. These...

Full description

Saved in:
Bibliographic Details
Published in:Mechanics of time-dependent materials 2024-06, Vol.28 (2), p.663-680
Main Authors: Zamani, H. A., Salehi, M.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Classical Mechanics
Composite structures
Constitutive relationships
Damping
Engineering
Free vibration
Functionally gradient materials
Hamilton's principle
Hyperbolic functions
Iterative algorithms
Kinematics
Laminar composites
Mathematical analysis
Polymer Sciences
Resonant frequencies
Solid Mechanics
Stretching
Thick plates
Thickness ratio
Thin plates
Viscoelasticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, we study the thickness-stretching effects for vibrational behaviors of open-cell foam plates resting on the visco-Pasternak foundation. The kinematic relations consist of shear and normal deformation theory with hyperbolic functions and normal strains in the thickness directions. These relations of foam plates are extended here for the first time. We derive the porosity distribution, viscoelastic constitutive relations, and the governing equations with frequency-dependent coefficients using power law, Boltzmann–Volterra superposition principles, and the Hamilton principle, respectively. We derive natural frequencies and modal loss factors of simply supported thick plates based on a semianalytical solution and numerical iterative algorithm. To verify, we carry some numerical examples for elastic functionally graded plates and viscoelastic laminated composite plates. We study the influences of geometry, material, and foundation parameters through numerical examples. It is revealed that loss factors of thin plates show increment as both thickness ratio and viscoelastic coefficients increase because external damping dominates over structural damping.
ISSN:1385-2000
1573-2738
DOI:10.1007/s11043-023-09603-1