Primary Resonance of Piezoelectric Energy Harvesters Considering Nonlinearities of Piezoelectric Material
GUO Kang-kang 1,2 CAO Shu-qian 1,2
1. School of Mechanical Engineering, Tianjin University, Tianjin 300072, China；2. Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China
Abstract：Dynamic modeling and primary response analysis of piezoelectric energy harvesters are presented. Firstly, the electromechanical coupling model of cantilevered piezoelectric harvester was developed by considering nonlinearities of piezoelectric material, based on Hamilton theory, Rayleigh-Ritz method, Euler-Bernoulli beam theory and constant electrical field across the piezoelectric element. Then, the second order approximate solution of the primary response was investigated by using the method of multiple scales. The influences of piezoelectric material nonlinear and external excitation on system response, and load resistance on output power were analyzed. By exploring the nonlinear characteristics of the piezoelectric vibrator near the resonant frequency, the nature of the multi-solutions and jump phenomena in the resonance region has been revealed. The realization of primary resonance depends on the stability conditions and initial conditions. In addition, the generation power reaches the maximum by proper selections of resistance. Finally, numerical integral results verified the validity of the analysis.
2014, Vol. 33 
