TY - JOUR
AU1 - Zamani, H. A.
AU2 - Salehi, M.
AB - 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.
TI - Free vibration of foam plates on viscoelastic foundations considering thickness stretching
JF - Mechanics of Time-Dependent Materials
DO - 10.1007/s11043-023-09603-1
DA - 2024-06-01
UR - https://www.deepdyve.com/lp/springer-journals/free-vibration-of-foam-plates-on-viscoelastic-foundations-considering-uvSwflpQ0b
SP - 663
EP - 680
VL - 28
IS - 2
DP - DeepDyve
ER -