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The flexural vibration behavior of elastic wave across a slender beam with locally resonant multi-oscillators structure is studied by using the transfer-matrix method and the finite element method. A simplified model is proposed, and the formulas of start and end frequencies of band gap are deduced. The more abundant and wider flexural elastic wave band gaps are found in this locally resonant multi-oscillator beam than in one oscillator beam, which can be used in the reduction of multiple-frequency vibration and noise. The frequency response of vibration in the band gap frequency range has obvious attenuation. The results of simplified model are in good agreement with results from the theory model. The research project will provide a new way for vibration reduction of beam structure.
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Keywords:
- phononic crystals /
- multi-oscillators beam /
- locally resonant /
- vibration band gap
[1] Kushwaha M S, Halevi P, Dobrzynsi L, Djafari-Rouhani B 1993Phys. Rev. Lett. 71 2022
[2] Shen H J, Wen J H, Yu D L, Wen X S 2009 Acta Phys. Sin. 588357 (in Chinese) [沈惠杰, 温激鸿, 郁殿龙, 温熙森 2009 物理学报 58 8357]
[3] Cai L, Han X Y 2006 Acta Phys. Sin. 55 5866 (in Chinese) [蔡力, 韩小云 2006 物理学报 55 5866]
[4] Wen J H, Wang G, Liu Y Z, Yu D L 2004 Acta Phys. Sin. 53 3384(in Chinese) [温激鸿, 王刚, 刘耀宗, 郁殿龙 2004 物理学报 53 3384]
[5] Wang G 2005 Ph. D. Dissertation (Changsha: National Universityof Defense Technology (in Chinese) [王刚 2005 博士学位论文 (长沙:国防科技大学)]
[6] Hirsekom M 2004 Appl?Phys?Lett. S4 3364
[7] Goffaux C, Sanchez-Dehesa J 2003 Phys. Rev. B 67 144301
[8] Yu D L 2005 Ph. D. Dissertation (Changsha: National Universityof Defense Technology (in Chinese) [郁殿龙 2006 (博士学位论文) (长沙:国防科技大学)]
[9] Wang G, Wen J H, Wen X S 2005 Chin. J. Mech. Eng. 41 107 (in Chinese) [王刚, 温激鸿, 温熙森 2005 机械工程学报 41 107]
[10] Yu D L, Liu Y Z, Wang G, Zhao H G, Qiu J 2006 J. Appl. Phys.100 124901
[11] Zhao C S, Zhu S J 2004 Chin. J. Mech. Eng. 15 962 (in Chinese) 赵存生, 朱石坚 2004 机械工程学报 15 962]
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[1] Kushwaha M S, Halevi P, Dobrzynsi L, Djafari-Rouhani B 1993Phys. Rev. Lett. 71 2022
[2] Shen H J, Wen J H, Yu D L, Wen X S 2009 Acta Phys. Sin. 588357 (in Chinese) [沈惠杰, 温激鸿, 郁殿龙, 温熙森 2009 物理学报 58 8357]
[3] Cai L, Han X Y 2006 Acta Phys. Sin. 55 5866 (in Chinese) [蔡力, 韩小云 2006 物理学报 55 5866]
[4] Wen J H, Wang G, Liu Y Z, Yu D L 2004 Acta Phys. Sin. 53 3384(in Chinese) [温激鸿, 王刚, 刘耀宗, 郁殿龙 2004 物理学报 53 3384]
[5] Wang G 2005 Ph. D. Dissertation (Changsha: National Universityof Defense Technology (in Chinese) [王刚 2005 博士学位论文 (长沙:国防科技大学)]
[6] Hirsekom M 2004 Appl?Phys?Lett. S4 3364
[7] Goffaux C, Sanchez-Dehesa J 2003 Phys. Rev. B 67 144301
[8] Yu D L 2005 Ph. D. Dissertation (Changsha: National Universityof Defense Technology (in Chinese) [郁殿龙 2006 (博士学位论文) (长沙:国防科技大学)]
[9] Wang G, Wen J H, Wen X S 2005 Chin. J. Mech. Eng. 41 107 (in Chinese) [王刚, 温激鸿, 温熙森 2005 机械工程学报 41 107]
[10] Yu D L, Liu Y Z, Wang G, Zhao H G, Qiu J 2006 J. Appl. Phys.100 124901
[11] Zhao C S, Zhu S J 2004 Chin. J. Mech. Eng. 15 962 (in Chinese) 赵存生, 朱石坚 2004 机械工程学报 15 962]
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