Nonlinear Vibration Study of Functionally Graded Three-Phase Composite Cylindrical Shell
We study the nonlinear vibration response of functionally graded three-phase composite cylin-drical shell,which is made of epoxy resin,Graphene NanoPlatelets and carbon fibers.Based on the first-order shear deformation theory and the von-Karman geometric nonlinear relation,the nonlinear partial differential equations of motion of the clamped cylindrical shell at both ends are established by Hamilton principle,taking into account the interaction of hygrothermal environment,aerodynamic force and exter-nal excitation.The nonlinear partial differential equations of motion are discreteted into a set of coupled second-order nonlinear ordinary differential equations by Galerkin method.The nonlinear ordinary differ-ential equations are solved by pseudo-arc length extension method,and the corresponding frequency-re-sponse curves are given.We only consider the influence of moisture and external excitation on the non-linear vibration response of the new three-phase composite cylindrical shell,and the resonance response of functionally graded three-phase composite cylindrical shell under the influence of moisture and exter-nal excitation is analyzed.
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