Thickness stretching and nonlinear hygro-thermo-mechanical loading effects on bending behavior of FG beams
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Date
2022-12-06
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Abstract
In this paper, the nonlinear vibration behavior of the spiral stiffened multilayer functionally graded (SSMFG)
cylindrical shells exposed to the thermal environment and a uniformly distributed harmonic loading using a semi-analytical
method is investigated. The cylindrical shell is surrounded by a nonlinear viscoelastic foundation consisting of a two-parameter
Winkler-Pasternak foundation augmented by a Kelvin-Voigt viscoelastic model with a nonlinear cubic stiffness. The distribution
of temperature and material constitutive of the stiffeners are continuously changed through the thickness direction. The
cylindrical shell has three layers consisting of metal, FGM, and ceramic. The interior layer of the cylindrical shell is rich in
metal, while the exterior layer is rich in ceramic, and the FG material is located between two layers. The nonlinear vibration
problem utilizing the smeared stiffeners technique, the von Kármán equations, and the Galerkin method has been solved. The
multiple scales method is utilized to examine the nonlinear vibration behavior of SSMFG cylindrical shells. The considered
resonant case is 1:3:9 internal resonance and subharmonic resonance of order 1/3. The influences of different material and
geometrical parameters on the vibration behavior of SSMFG cylindrical shells are examined. The results show that the angles of
stiffeners, temperature, and elastic foundation parameters have a strong effect on the vibration behaviors of the SSMFG
cylindrical shells.