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Dynamic modeling and analysis of a bistable piezoelectric cantilever power generation system are presented. Firstly, a magnetic force model is established which could induce bistability, and the force mathematical expression between the two magnets is given. Secondly, a lumped parameter model of piezoelectric cantilever power generation system is built, and the range of distance between the two magnets is analyzed while the bistable phenomenon occurs. Thirdly, the response characteristics of the system are studied numerically. The results show that the beam undergoes large-amplitude motion at low frequency and low amplitude, and that the voltage response has a broadband. The system has high energy escaped from potential well when excitation amplitude imereases. Finally, the result is verified experimentally. This study provides a theoretical basis for the design and application of bistable piezoelectric cantilever power generation system.
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Keywords:
- bistable cantilever beam /
- piezoelectric power generation /
- large-amplitude motion /
- chaotic motion
[1] Wu X M, Fang H J, Lin J H, Ren T L, Liu L T 2008 Journal of Functional Materials and Devices 14 467 (in Chinese) [伍晓明, 方华军, 林建辉, 任天令, 刘理天 2008 功能材料与器件学报 14 467]
[2] Arrieta A F, Hagedorn P, Erturk A, Inman D J 2010 Appl. Phys. Lett. 97 104102
[3] Gammaitoni L, Neri I, Vocca H 2010 Chem. Phys. 375 435
[4] Ferrari M, Ferrari V, Guizzetti M Andó B, Baglio S, Trigona C 2010 Sens. Actuators A: Phys. 162 425
[5] Erturk A, Inman D J 2011 J. Sound Vib. 330 2339
[6] Moon F C, Holmes P J 1979 J. Sound Vib. 65 275
[7] Mann B P, Owens B A 2010 J. Sound Vib. 329 1215
[8] S Stanton S C, McGehee C C, Mann B P 2010 Physica D 239 640
[9] Han Q W, Li K, Yan L, Zhou J L, Wang Y, Chen W L H 2011 Piezoelectrics & Acoustooptics 33 85 (in Chinese) [韩权威, 李坤, 严玲, 周金龙, 王雨, 陈王丽华 2011 压电与声光 33 85]
[10] Ma H A, Liu J Q, Tang G, Yang C S, Li Y G 2011 Transducer and Microsystem Technology 30 66 (in Chinese) [马华安, 刘景全, 唐刚, 杨春生, 李以贵 2011 传感器与微系统 30 66]
[11] Chen Z S, Yang Y M 2011 Acta Phys. Sin. 60 074301 (in Chinese) [陈仲生, 杨拥民 2011 60 074301]
[12] Yung K W, Landecker P B, Villani D D 1998 Magnetic and Electrical Separation 9 39
[13] Guckenheimer J, Holmes P 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (New York: Springer-Verlag)
[14] Lin M, Meng Y 2010 Acta Phys. Sin. 59 3627 (in Chinese) [林敏, 孟莹 2010 59 3627]
[15] Gottwald J A, Virgin L N, Dowell E H 1995 J. Sound Vib. 187 133
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[1] Wu X M, Fang H J, Lin J H, Ren T L, Liu L T 2008 Journal of Functional Materials and Devices 14 467 (in Chinese) [伍晓明, 方华军, 林建辉, 任天令, 刘理天 2008 功能材料与器件学报 14 467]
[2] Arrieta A F, Hagedorn P, Erturk A, Inman D J 2010 Appl. Phys. Lett. 97 104102
[3] Gammaitoni L, Neri I, Vocca H 2010 Chem. Phys. 375 435
[4] Ferrari M, Ferrari V, Guizzetti M Andó B, Baglio S, Trigona C 2010 Sens. Actuators A: Phys. 162 425
[5] Erturk A, Inman D J 2011 J. Sound Vib. 330 2339
[6] Moon F C, Holmes P J 1979 J. Sound Vib. 65 275
[7] Mann B P, Owens B A 2010 J. Sound Vib. 329 1215
[8] S Stanton S C, McGehee C C, Mann B P 2010 Physica D 239 640
[9] Han Q W, Li K, Yan L, Zhou J L, Wang Y, Chen W L H 2011 Piezoelectrics & Acoustooptics 33 85 (in Chinese) [韩权威, 李坤, 严玲, 周金龙, 王雨, 陈王丽华 2011 压电与声光 33 85]
[10] Ma H A, Liu J Q, Tang G, Yang C S, Li Y G 2011 Transducer and Microsystem Technology 30 66 (in Chinese) [马华安, 刘景全, 唐刚, 杨春生, 李以贵 2011 传感器与微系统 30 66]
[11] Chen Z S, Yang Y M 2011 Acta Phys. Sin. 60 074301 (in Chinese) [陈仲生, 杨拥民 2011 60 074301]
[12] Yung K W, Landecker P B, Villani D D 1998 Magnetic and Electrical Separation 9 39
[13] Guckenheimer J, Holmes P 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (New York: Springer-Verlag)
[14] Lin M, Meng Y 2010 Acta Phys. Sin. 59 3627 (in Chinese) [林敏, 孟莹 2010 59 3627]
[15] Gottwald J A, Virgin L N, Dowell E H 1995 J. Sound Vib. 187 133
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