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With the development of micro electromechanical systems, many researchers focus their attention on nonlinear energy harvesting device. The stochastic equivalent linearization method is used to analyze an energy harvesting system under ambient noise. First, according to the bistability of beam axially loaded, a model of bistable nonlinear vibration energy harvester under the stochastic condition is proposed. A close-form approximation expression for the ensemble average of harvested power is derived and the numerical simulation of the system shows stochastic resonance. The results show that it is possible to optimally design system such that the harvest power is maximized for a given density or variance of random excitation.
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Keywords:
- random excitation /
- energy harvesting system /
- coherence resonance
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[2] Masana R, Daqaq M F 2011 J. Vib. Acoust. 133 011007
[3] Masana R, Daqaq M F 2011 J. Sound. Vib. 330 6036
[4] Masana R, Daqaq M F 2012 J. Appl. Phys. 111 044501
[5] Sun S, Cao S Q 2012 Acta Phys. Sin. 61 210505 (in Chinese) [孙舒, 曹树谦 2012 物理学报 61 210505]
[6] Fan K Q, Ming Z F, Xu C H, Chao F B 2013 Chin. Phys. B 22 104502
[7] Friswell M I, Ali S F, Adhikari S, Lees A W, Bilgen O, Litak G 2012 J. Intellig. Mater. Syst. Struct. 23 1505
[8] Andó B, Baglio S, Trigona C, Dumas N, Latorr L, Nouet P 2010 J. Micromech. Microeng. 20 125020
[9] Ferrari M, Ferrari V, Guizzetti M, Andó B, Baglio S, Trigona C 2010 Sensors Actuators A 162 425
[10] McInnes C R, Gorman D G, Cartmell M P 2008 J. Sound Vib. 318 655
[11] Litak G, Friswell M I, Adhikari S 2010 Appl. Phys. Lett. 96 214103
[12] Chen Z S, Yang Y M 2011 Acta Phys. Sin. 60 074301 (in Chinese) [陈仲生, 杨拥民 2011 物理学报 60 074301]
[13] Cao Z J, Li P F, Hu G 2007 Chin. Phys. Lett. 24 882
[14] Huang X C, Liu X T, Sun J Y, Zhang Z Y, Hua H X 2014 J. Sound. Vib. 333 1132
[15] Cao Q, Wiercigroch M, Pavlovskaia E E, Grebogi C, Thompson J M T 2008 Phil. Trans. R. Soc. A 366 635
[16] Tian R L, Cao Q J, Yang S P 2010 Nonlinear Dynamics 59 19
[17] Tian R L, Yang X W, Cao Q J, Wu Q L 2012 Chin. Phys. B 21 020503
[18] Ali S F, Adhikari S, Friswell M I, Narayanan S 2011 J. Appl. Phys. 109 074904
[19] Roberts J B, Spanos P D 2003 Random Vibration and Statistical Linearization (New York Mineola: Dover Publications) p380-386
[20] Fang T 1995 Engineering Random Vibration (Beijing: National Defense Industry Press) p301 (in Chinese) [方同 1995 工程随机振动 (北京: 国防工业出版社) 第301 页]
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[1] Cottone F, Vocca H, Gammaitoni L 2008 Phys. Rev. Lett. 102 080601
[2] Masana R, Daqaq M F 2011 J. Vib. Acoust. 133 011007
[3] Masana R, Daqaq M F 2011 J. Sound. Vib. 330 6036
[4] Masana R, Daqaq M F 2012 J. Appl. Phys. 111 044501
[5] Sun S, Cao S Q 2012 Acta Phys. Sin. 61 210505 (in Chinese) [孙舒, 曹树谦 2012 物理学报 61 210505]
[6] Fan K Q, Ming Z F, Xu C H, Chao F B 2013 Chin. Phys. B 22 104502
[7] Friswell M I, Ali S F, Adhikari S, Lees A W, Bilgen O, Litak G 2012 J. Intellig. Mater. Syst. Struct. 23 1505
[8] Andó B, Baglio S, Trigona C, Dumas N, Latorr L, Nouet P 2010 J. Micromech. Microeng. 20 125020
[9] Ferrari M, Ferrari V, Guizzetti M, Andó B, Baglio S, Trigona C 2010 Sensors Actuators A 162 425
[10] McInnes C R, Gorman D G, Cartmell M P 2008 J. Sound Vib. 318 655
[11] Litak G, Friswell M I, Adhikari S 2010 Appl. Phys. Lett. 96 214103
[12] Chen Z S, Yang Y M 2011 Acta Phys. Sin. 60 074301 (in Chinese) [陈仲生, 杨拥民 2011 物理学报 60 074301]
[13] Cao Z J, Li P F, Hu G 2007 Chin. Phys. Lett. 24 882
[14] Huang X C, Liu X T, Sun J Y, Zhang Z Y, Hua H X 2014 J. Sound. Vib. 333 1132
[15] Cao Q, Wiercigroch M, Pavlovskaia E E, Grebogi C, Thompson J M T 2008 Phil. Trans. R. Soc. A 366 635
[16] Tian R L, Cao Q J, Yang S P 2010 Nonlinear Dynamics 59 19
[17] Tian R L, Yang X W, Cao Q J, Wu Q L 2012 Chin. Phys. B 21 020503
[18] Ali S F, Adhikari S, Friswell M I, Narayanan S 2011 J. Appl. Phys. 109 074904
[19] Roberts J B, Spanos P D 2003 Random Vibration and Statistical Linearization (New York Mineola: Dover Publications) p380-386
[20] Fang T 1995 Engineering Random Vibration (Beijing: National Defense Industry Press) p301 (in Chinese) [方同 1995 工程随机振动 (北京: 国防工业出版社) 第301 页]
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