Stochastic Bifurcation Characteristics of PZT-SMA Composite Energy Harvester
In this paper,a kind of PZT-SMA composite cantilever energy harvester was proposed,and its stochastic bifurcation characteristics were studied.SMA was chosen as the substrate of cantilever beam to induce self-excited vibration,and PZT was adhesively bonded on SMA beam to make PZT-SMA composite cantilever beam.Von de Pol difference item was introduced to interpret the hysteresis phenomena of the strain-stress curves of SMA,and the nonlinear dynamic model of PZT-SMA composite cantilever beam subjected to stochastic excitation was developed.The local stochastic stability of the system was analyzed according to the largest Lyapunov exponent method,and the conditions of global stochastic stability of the system were obtained in singular boundary theory.The probability density function of the dynamic response of the system was obtained,and the conditions of stochastic Hopf bifurcation were analyzed.Numerical simulation shows that self-excited vibration is induced by the hysteretic nonlinear characteristics of SMA,which can improve the efficiency of energy harvester; stochastic Hopf bifurcation appears when bifurcation parameter was adjusted,which can further increase vibration amplitude of cantilever beam system.PZTSMA composite cantilever energy harvester combines the advantages of piezoelectric energy harvester and SMA beam,and can improve the efficiency of energy harvester obviously.The results of this paper are helpful to application of PZT-SMA composite cantilever energy harvester in engineering fields.
piezoelectric ceramics SMA composite cantilever beam stochastic Hopf bifurcation
Zhi-Wen Zhu Qing-Xin Zhang Jia Xu
Department of Mechanics Tianjin University Tianjin,China Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control Tianjin University Tianjin,China
国际会议
南京
英文
1-5
2013-08-20（万方平台首次上网日期，不代表论文的发表时间）