Harmonic Analysis of a Bistable Piezoelectric Energy Harvester on Intrawell and Interwell Oscillations
-
摘要: 首先对压电俘能系统进行了平衡点分岔分析,证明其具有非线性双稳态特性,并且得到系统的运动方程。再采用谐波平衡法对双稳态压电俘能系统进行分析,推导出了激励幅值、激励频率、响应幅值及输出功率之间的解析关系式,预测了结构的阱内、阱间动力学响应。分析了阻尼、阻抗、激励幅值、激励频率等参数对响应幅值及输出功率的影响。结果表明,阻尼、阻抗对能量获取频带宽度、响应幅值有较大影响。系统阱间、阱内运动均有高、低能量态共存现象,不同激励幅值和激励频率下存在最优阻抗使得输出功率最大。Abstract: Firstly, the equilibrium bifurcation analysis of the piezoelectric system proves its nonlinear bistable characteristics, and also obtains the equations of motion. Then, the harmonic balance method is applied to derive relationship of the excitation amplitude, excitation frequency, response amplitude and output power. It could predict dynamic responses of the intrawell and interwell oscillations of the bistable piezoelectric energy harvester. The effects of the parameters, such as damping, impedance, excitation amplitude and excitation frequency on the response amplitude and output power, are analyzed. The results show that the damping and impedance have a great influence on the width and the amplitude of the energy harvester. There exist the high and low energy states for intrawell and interwell oscillations. The maximum power could be got by adjusting impedance under the excitation with different amplitudes and frequencies.
-
Key words:
- piezoelectric energy harvester /
- harmonic balance method /
- nonlinear /
- dynamic response
-
[1] Robert B. Energy harvesting and wireless sensors:a review of recent developments[J]. Sensor Review, 2009,29(3):194-199 [2] Wang H J, Meng Q F. Analytical modeling and experimental verification of vibration-based piezoelectric bimorph beam with a tip-mass for power harvesting[J]. Mechanical Systems and Signal Processing, 2013,36(1):193-209 [3] Anton S R, Sodano H A. TOPICAL REVIEW:a review of power harvesting using piezoelectric materials (2003-2006)[J]. Smart Materials and Structures, 2007,16(3):R1-R21 [4] Arrieta A F, Hagedorn P, Erturk A, et al. A piezoelectric bistable plate for nonlinear broadband energy harvesting[J]. Applied Physics Letters, 2010,97(10):104102 [5] Dhakar L, Liu H C, Tay F E H, et al. A new energy harvester design for high power output at low frequencies[J]. Sensors and Actuators A:Physical, 2013,199:344-352 [6] Stanton S C, McGehee C C, Mann B P. Nonlinear dynamics for broadband energy harvesting:investigation of a bistable piezoelectric inertial generator[J]. Physica D:Nonlinear Phenomena, 2010,239(10):640-653 [7] 孙舒,曹树谦.双稳态压电悬臂梁发电系统的动力学建模及分析[J].物理学报,2012,61(21) Sun S, Cao S Q. Dynamic modeling and analysis of a bistable piezoelectric cantilever power generation system[J]. Acta Physica Sinica, 2012,61(21) (in Chinese) [8] Erturk A, Inman D J. Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling[J]. Journal of Sound and Vibration, 2011,330(10):2339-2353 [9] Moon F C, Holmes P J. A magnetoelastic strange attractor[J]. Journal of Sound and Vibration, 1979,65(2):275-296 [10] 高毓璣,冷永刚,范胜波,等.弹性支撑双稳压电悬臂梁振动响应及能量采集研究[J].物理学报,2014,63(9) Gao Y J, Leng Y G, Fan S B, et al. Studies on vibration response and energy harvesting of elastic-supported bistable piezoelectric cantilever beams[J]. Acta Physica Sinica, 2014,63(9) (in Chinese) [11] He Q F, Daqaq M F. Influence of potential function asymmetries on the performance of nonlinear energy harvesters under white noise[J]. Journal of Sound and Vibration, 2014,333(15):3479-3489
点击查看大图
计量
- 文章访问数: 178
- HTML全文浏览量: 33
- PDF下载量: 11
- 被引次数: 0