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This paper focuses on the piezoelectric cantilever energy harvesting system with an externally applied magnetic field. The calculation method and model for the magnetic force are proposed from the magnetizing current method, and the calculation results are compared with a set of experimental data. The study shows that there is a deviation in the calculation model derived by the magnetizing current method, which increases as the distance between two magnets decreases. The calculation model is improved by introducing the deflection angle of the magnet at the end of the cantilever beam, and is reliable to calculate the magnetic force of piezoelectric cantilever energy harvesting system with an externally applied magnetic field for further studying this energy harvesting system.
[1] Priya S, Inman D J (Translated by Huang J Q, Huang Q A) 2010 Energy Harvesting technologies (Nanjing: Dongnan University Press) pp1-4 (in Chinese) [(印)沙山克·普利亚, (美)丹尼尔·茵曼 著 (黄见秋, 黄庆安 译) 2010能量收集技术(南京: 东南大学出版社) 第1–4页]
[2] Kim H S, Kim J H, Kim J 2011 Int. J. Precis. Eng. Man. 12 1129
[3] Lu Y W, Shan X B, Yuan J B, Xie T 2010 Machinery Design & Manufacture 5 118 (in Chinese) [卢有为, 单小彪, 袁江波, 谢涛 2010 机械设计与制造 5 118]
[4] Cottone F, Vocca H, Gammaitoni L 2009 Phys. Rev. Lett. 102 080601
[5] Andò B, Baglio S, Trigona C, Dumas N, Latorre L, Nouet P 2010 J. Micromech. Microeng. 20 125020
[6] S Stanton S C, McGehee C C, Mann B P 2010 Physica D 239 640
[7] Fan K Q, Xu C H, Wang W D, Fang Y 2014 Chin. Phys. B 23 084501
[8] Han Q W, Li K, Yan L, Zhou J L, Wang Y, Chen W L H 2011 Piezoelectr. Acoustoop. 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]
[9] Ma H A, Liu J Q, Tang G, Yang C S, Li Y G 2011 Trans. Microsyst. Technol. 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]
[10] Ferrari M, Ferrari V, Guizzetti M, Andò B, Baglio S, Trigona C 2010 Sensor Actuat. A: Phys. 162 425
[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] Gao Y J, Leng Y G, Fan S B, Lai Z H 2014 Acta Phys. Sin. 63 090501 (in Chinese) [高毓璣, 冷永刚, 范胜波, 赖志慧 2014 63 090501]
[13] Furlani E P, Reznik S, Kroll A 1995 IEEE Trans. Magn. 31 844
[14] Agashe J S, Arnold D P 2008 J. Phys. D: Appl. Phys. 41 105001
[15] Bobbio S, Delfino F, Girdinio P, Molfino P 2000 IEEE Trans. Magn. 36 663
[16] Akoun G, Yonnet J P 1984 IEEE Trans. Magn. 20 1962
[17] Lin J T, Lee B, Alphenaar B 2010 Smart Mater. Struct. 19 045012
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[1] Priya S, Inman D J (Translated by Huang J Q, Huang Q A) 2010 Energy Harvesting technologies (Nanjing: Dongnan University Press) pp1-4 (in Chinese) [(印)沙山克·普利亚, (美)丹尼尔·茵曼 著 (黄见秋, 黄庆安 译) 2010能量收集技术(南京: 东南大学出版社) 第1–4页]
[2] Kim H S, Kim J H, Kim J 2011 Int. J. Precis. Eng. Man. 12 1129
[3] Lu Y W, Shan X B, Yuan J B, Xie T 2010 Machinery Design & Manufacture 5 118 (in Chinese) [卢有为, 单小彪, 袁江波, 谢涛 2010 机械设计与制造 5 118]
[4] Cottone F, Vocca H, Gammaitoni L 2009 Phys. Rev. Lett. 102 080601
[5] Andò B, Baglio S, Trigona C, Dumas N, Latorre L, Nouet P 2010 J. Micromech. Microeng. 20 125020
[6] S Stanton S C, McGehee C C, Mann B P 2010 Physica D 239 640
[7] Fan K Q, Xu C H, Wang W D, Fang Y 2014 Chin. Phys. B 23 084501
[8] Han Q W, Li K, Yan L, Zhou J L, Wang Y, Chen W L H 2011 Piezoelectr. Acoustoop. 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]
[9] Ma H A, Liu J Q, Tang G, Yang C S, Li Y G 2011 Trans. Microsyst. Technol. 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]
[10] Ferrari M, Ferrari V, Guizzetti M, Andò B, Baglio S, Trigona C 2010 Sensor Actuat. A: Phys. 162 425
[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] Gao Y J, Leng Y G, Fan S B, Lai Z H 2014 Acta Phys. Sin. 63 090501 (in Chinese) [高毓璣, 冷永刚, 范胜波, 赖志慧 2014 63 090501]
[13] Furlani E P, Reznik S, Kroll A 1995 IEEE Trans. Magn. 31 844
[14] Agashe J S, Arnold D P 2008 J. Phys. D: Appl. Phys. 41 105001
[15] Bobbio S, Delfino F, Girdinio P, Molfino P 2000 IEEE Trans. Magn. 36 663
[16] Akoun G, Yonnet J P 1984 IEEE Trans. Magn. 20 1962
[17] Lin J T, Lee B, Alphenaar B 2010 Smart Mater. Struct. 19 045012
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