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《Journal of Xi'an Jiaotong University》 2014-01
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Nonlinear Model for Piezoelectric Energy Harvester with Magnetic Coupling

ZHOU Shengxi;CAO Junyi;Alper ERTURK;LIN Jing;ZHANG Xining;State Key Laboratory for Manufacturing Systems Engineering,Xi'an Jiaotong University;G.W.Woodruff School of Mechanical Engineering,Georgia Institute of Technology;  
To establish the dynamical model of piezoelectric energy harvester with magnetic coupling,the modeling approach for the harvester is proposed based on nonlinear polynomial description of nonlinear restoring force.The nonlinear restoring force of the cantilever beam being in different positions is measured directly by a small electronic dynamometer and the polynomial parameters of the force are estimated.Then the nonlinear restoring force is taken into account to establish the nonlinear model following Hamilton principle,Euler-Bernoulli beam theory and piezoelectric theory.Runge-Kutta method is introduced to simulate the nonlinear output characteristics of the harvester.The results show that the proposed model enables to simply solve the parameters,reduce calculation task and avoid the direct calculation of magnetic force.And the model can describe the important designing parameters in terms of the jump frequency,maximum voltage and effective bandwidth for the mechanism analysis of magnetic coupled piezoelectric energy harvester.
【Fund】: 国家自然科学基金资助项目(51075317 51275379);; 教育部新世纪优秀人才计划资助项目(NCET-12-0453);; 陕西省国际合作重点资助项目(2011KW-21)
【CateGory Index】: TH825
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