Nonlinear Dynamics Of Cantilever Plate With Piezoelectric Function Gradient Material

Functionally gradet materials (referred to as FGM) is usually a new material made bythe ceramic and metal composite, components can be better than the usual uniform withthe mechanical properties of materials in hot environment through the reasonable design ofcomposite materials. Piezoelectric materials is also a kind of new functional material ofaerospace engineering, it has advantages such as high strength, high rigidity and fatigueresistance, is suitable for advantages as actuators embedded engineering structurecomposed of piezoelectric composites structure so as to improve the comprehensiveperformance. Functionally graded materials with piezoelectric in aerospace, dynamicmechanics etc fields has a broad prospect of application. The nonlinear dynamic behaviorresearch of the materials in complex hot-mechanical structure-electricity load hasimportant theoretical and engineering application value. This paper mainly studiednonlinear dynamics problems of the functionally graded cantilever plate with piezoelectriclayers by the horizontal load in thermal environment. The research contents of papermainly in the following aspects.(1) Clarify FGM and piezoelectric materials in engineering application in thedevelopment of domestic and overseas, the superiority of the FGM; reviewed nonlineardynamic research status of ordinary laminates, FGM plate, cantilever plate structure andFGM cantilever plate under different conditions, the present research of board piezoelectricmaterials; nonlinear dynamics research situation of FGM of cantilever plate withpiezoelectric layer. This research project briefly introduced the main research contents andthe structure arrangement in this paper.(2) Take the FGM cantilever plate with piezoelectric layer as the research object,petrophysical parameters of FGM and piezoelectric are gived, The nonlinear partialdifferential equation of motion control of FGM cantilever plate with piezoelectric underhorizontal load based on Reddy’s third-order shear deformation plate theory that includesthermo-piezoelectric effects. Used Hamilton principle in the process of modeling, and theinfluence of damping on vibration characteristic of the system and cantilever boundaryconditions are considered, by using the Galerkin method, the loads-displacement relationwas achieved.(3) Take the FGM cantilever plate with piezoelectric layer covering the surface(P/FGM/P) as the research object, on the basis of the model and the dynamic equation, Runge-kutta numerical simulation of the equations, the material properties of plate andpiezoelectric are assumed to be linear functions of temperature change. The influences ofcontrol voltage, initial system conditions and material volume fraction on the nonlinearvibration are discussed．(4) Take the FGM cantilever plate with piezoelectric embedded (FGM/P/FGM) as theresearch object, the nonlinear dynamic behavior of the (FGM/P/FGM) rectangular plate isanalyzed, the material properties of plate and piezoelectric are assumed to be linearfunctions of temperature change. The influences of control voltage, initial systemconditions and material volume fraction on the nonlinear vibration are discussed, and thencompared with conclusion of the third chapter.(5) By using ANSYS, the modal analysis of the FGM cantilever rectangular plate iscarried out.The unique superiority of FGM cantilever plate with piezoelectric in aviation, nuclearreactor, energy, power and other high-tech areas is getting increasingly widely used, so studyof the functionally graded materials plate and shell structure mechanics behaviorcharacteristics is of great significance.