The remarkable mechanical and physical characteristics of functionally graded(FG)graphene origami(GOri)-enabled auxetic metamaterial(GOEAM)structures,including their high strength-to-weight ratio,tunable stiffness and...The remarkable mechanical and physical characteristics of functionally graded(FG)graphene origami(GOri)-enabled auxetic metamaterial(GOEAM)structures,including their high strength-to-weight ratio,tunable stiffness and strength,and negative Poisson's ratio(NPR),have demonstrated significant promise for a range of engineering applications.This paper aims to investigate the nonlinear free vibrations behaviors of FG-GOEAM non-uniform thickness skew-microplate with rectangular and elliptical planform and resting on Kerr-elastic foundation in thermal environment.Within the framework of the higher-order shear deformation theory(HSDT),von Kármán assumption,modified couple stress theory(MCST)and by employing Hamilton's principle the nonlinear governing equations of motion are established.By combining an iterative technique with a displacement control strategy,an isogeometric analysis(IGA)approach used to determine the nonlinearity in free vibration,as measured by the nonlinear frequency ratio associated with the center deflection amplitude.The effects of GOri distribution patterns,weight fraction,length-scale parameter,temperature difference,skew-angle,and micro-plate dimensions on the nonlinear free vibrations behaviors of the FG-GOEAM non-uniform thickness skew-microplate are revealed through a thorough parametric study.This result can be applied in studies on the design of micro-electro-mechanical devices operating in various complex environments and conditions.展开更多
文摘The remarkable mechanical and physical characteristics of functionally graded(FG)graphene origami(GOri)-enabled auxetic metamaterial(GOEAM)structures,including their high strength-to-weight ratio,tunable stiffness and strength,and negative Poisson's ratio(NPR),have demonstrated significant promise for a range of engineering applications.This paper aims to investigate the nonlinear free vibrations behaviors of FG-GOEAM non-uniform thickness skew-microplate with rectangular and elliptical planform and resting on Kerr-elastic foundation in thermal environment.Within the framework of the higher-order shear deformation theory(HSDT),von Kármán assumption,modified couple stress theory(MCST)and by employing Hamilton's principle the nonlinear governing equations of motion are established.By combining an iterative technique with a displacement control strategy,an isogeometric analysis(IGA)approach used to determine the nonlinearity in free vibration,as measured by the nonlinear frequency ratio associated with the center deflection amplitude.The effects of GOri distribution patterns,weight fraction,length-scale parameter,temperature difference,skew-angle,and micro-plate dimensions on the nonlinear free vibrations behaviors of the FG-GOEAM non-uniform thickness skew-microplate are revealed through a thorough parametric study.This result can be applied in studies on the design of micro-electro-mechanical devices operating in various complex environments and conditions.
