Nonlinear Dynamic Behavior Of Graphene/Piezoelectric Laminated Structures

In recent years,with the rapid development of graphene research and processing technology,graphene is increasingly used in molecular detection,lithium battery electrode and other fields,mainly because of its excellent mechanical properties and electrochemical properties.Piezoelectric materials(PVDF)are also widely used in lithium batteries because of their stable physical and chemical properties,and they also have applications in the fields of molecular sensor and damage detection.In this paper,we study the linear and nonlinear dynamic behaviors of three-layer graphene / graphene / piezoelectric(BGP)laminated films with interlayer considering van der Waals forces under multi-field loading.The effects of scale effect,electric field force,magnetic field force,thermal load and viscoelastic properties of piezoelectric materials on nonlinear dynamic behaviors of BGP laminated films are revealed.Firstly,based on the nonlocal elastic theory,the nonlinear dynamic governing equations of BGP laminated films under multi-field loading are established.The corresponding nonlinear dynamic governing equations are solved by the resonance frequency drift method.The effect of small scale parameters,electric field,magnetic field,thermal load and model shape on the relationship between nonlinear resonant frequency and resonant amplitude of BGP laminates are calculated and revealed.Secondly,the nonlinear dynamic governing equations of the bi-graphene/viscoelastic piezoelectric laminated films under the multi-field loading of the particles(macromolecules,atoms,lithium ions,etc.)passing through BGP laminated films are established,the differential quadrature method is used to solve the corresponding viscoelastic nonlinear dynamic governing equations.The influence of small scale parameters,electric field,magnetic field,thermal load and viscoelastic coefficient on the nonlinear deflection response of the laminated films was calculated and described.The research results have important theoretical reference significance and practical engineering application value for the design of micro-nano detector and sensor based on BGP laminated film.