Study of the influence of equivalent stiffness on the performance of nonlinear piezoelectric energy harvesting system
Received:July 25, 2019  Revised:October 15, 2019
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DOI:10.7511/jslx20190725001
KeyWord:piezoelectric energy harvester  geometric nonlinearity  harmonic balance method  stability analysis  layered configuration  parameter analysis
           
AuthorInstitution
方飞 合肥工业大学 土木与水利工程学院, 合肥
夏光辉 合肥工业大学 土木与水利工程学院, 合肥
汪权 合肥工业大学 土木与水利工程学院, 合肥
王建国 合肥工业大学 土木与水利工程学院, 合肥
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Abstract:
      Based on Hamilton's principle,considering the geometric nonlinearity and the inextensible condition of the beam,the differential equations of motion of an energy harvester in the form of a five-layer piezoelectric bimorph laminated beam under direct and parametric excitations are established.Analytical solutions of the displacement,the output voltage and the output power of the harvester are obtained by the Galerkin approach and Harmonic balance method.Introducing a time-dependent perturbation,the stability condition of the solution of the nonlinear equation is presented.In order to comprehensively analyze the structural performance relationship of the piezoelectric harvester,the effects of the layered form of passive layer (substrate layer),the thickness ratio of the passive layer to the active layer and the modulus of elasticity on the performance of piezoelectric energy harvesting system are studied.The results show that when the thickness of the composite beam is constant,using five-layer piezoelectric bimorph composite structure,selecting a reasonable elastic modulus of passive layer,the thickness ratio of the passive layer to the active layer,the thickness ratio of the passive layers and the load resistance,the efficiency of the piezoelectric energy harvester can be effectively improved.