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• W4229021804 endingPage "104644" @default.
• W4229021804 startingPage "104644" @default.
• W4229021804 abstract "The nonlinear free vibration of the viscoelastic solid and annular circular microplate is investigated. Nonlinear viscoelastic symmetric and asymmetric foundations are considered. Thermal loading is assumed as constant value. The nonlinear equations of the microplate are derived by Hamilton principle based on third order shear deformation theory (TSDT) and modified couple stress theory (MCST). The finite element methods (FEM) and Newton repeated algorithm are employed to obtain the nonlinear natural frequency. The obtained results are validated with the literatures. Then, the effects of various parameters such as, length scale parameter, outer radius to thickness ratio , maximum deflection to thickness ratio, softening and hardening nonlinear foundation, symmetric and asymmetric nonlinear viscoelastic foundations, different boundary conditions, structure and foundation damping are conducted. The obtained results are compared with several literature and a close agreement are observed between them. The results show that the symmetric and asymmetric nonlinear viscoelastic foundations affect more the nondimensional nonlinear frequency ratio. Reduction effect of temperature difference on MCST nondimensional nonlinear frequency ratio is higher than that of classical theory. The results can be applied micro and nanomachines and smart systems. • Nonlinear free vibration formulation of circular micro plates based on MCST is presented. • Third order shear deformation theory is employed for nonlinear free vibration of thick circular microplates. • Cubic nonlinear foundation effect on nonlinear free vibration is investigated. • Softening and hardening foundations are considered. • Temperature change effect on the nonlinear free vibration are explored." @default.
• W4229021804 created "2022-05-08" @default.
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• W4229021804 date "2022-09-01" @default.
• W4229021804 modified "2023-10-16" @default.
• W4229021804 title "Third order nonlinear vibration of viscoelastic circular microplate based on softening and hardening nonlinear viscoelastic foundation under thermal loading" @default.
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• W4229021804 doi "https://doi.org/10.1016/j.euromechsol.2022.104644" @default.
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