Dynamics Analysis Of Piezoelectric Laminated Structures Subjected To Voltage Excitation

Piezoelectric laminated structures have been applied widely in engineering, which areoften used in the production of sensors, converters, actuators and other equipments. Becausethe application research of piezoelectric smart laminated structures start soon, in order toguarantee these structures can work safely and reliably under outer incentive, there are manybasic mechanical problems need to solve. The ideal structure of high performancepiezoelectric element design is distributed structure, represented by piezoelectric laminatedbeam, plate. Dynamics analysis of piezoelectric laminated beam, plate structures hasimportant application value and theoretical significance. In this paper, with piezoelectricceramic-metal-piezoelectric ceramic symmetric laminated structures as the research object,the dynamics problems of piezoelectric laminated structures under excitation voltage havebeen studied.Firstly, the paper research purpose and meaning are elaborated, and the types andperformance of piezoelectric materials, piezoelectric equation and related theory, researchstatus at home and abroad are introduced.Secondly, the forced vibration differential equation of piezoelectric laminatedsymmetrical cantilever beam under transverse excitation voltage can be obtained based onLagrange equation. The finite element model is established, and the dynamic response of themodel is analyzed by using ANSYS software. The simulation results agree with thetheoretical value, which verify the validity of the theory. Further more, the influence ofdamping on the transverse displacement response is analyzed, and variation laws of velocityand acceleration with time are discussed, and the position of the maximum stress ofpiezoelectric cantilever beam and characteristics of the maximum stress with time areanalyzed. The results show that the damping influences the formation and duration of pat. Theposition of the maximum stress appears the adhesive side of piezoelectric ceramics and substrate close to the fixed end.Then based on the nonlinear constitutive equations caused by elastostriction andelectrostriction and Von Karman large deflection theory, the Hamilton principle andRayleigh-Ritz method were used to derive the nonlinear vibration equations of piezoelectriclaminated thin rectangular plates subjected to voltage excitation. The primary resonanceamplitude frequency response equation is obtained and numerical example verifies thevalidity of the theory. The results prove that when the excitation electric field is larger, thenonlinear effects of piezoelectric materials should not be neglected, and in this paper, thenonlinear vibration theory is also applicable to piezoelectric laminated beam structure whosethick wide ratio less than0.2.Finally, the primary resonance analysis of piezoelectric laminated plate is studied, thestability of the resonance solution is discussed, and voltage, damping, thickness ratio andother parameters on the influences of the primary resonance are analyzed. Voltage anddamping on the influences of the nonlinear bifurcation and chaos based on the nonlinearvibration equations are explored. The results show that thin plate structures can appear morevalue, jumping, hard spring characteristics, bifurcation and chaos and other nonlineardynamics behavior.