Chin. Phys. Lett.  2016, Vol. 33 Issue (12): 124301    DOI: 10.1088/0256-307X/33/12/124301
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Numerical Perspective of Second-Harmonic Generation of Circumferential Guided Wave Propagation in a Circular Tube
Ming-Liang Li1, Ming-Xi Deng1**, Wu-Jun Zhu2, Guang-Jian Gao1, Yan-Xun Xiang2**
1Department of Physics, Logistics Engineering University, Chongqing 401331
2School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237
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Ming-Liang Li, Ming-Xi Deng, Wu-Jun Zhu et al  2016 Chin. Phys. Lett. 33 124301
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Abstract The effect of second-harmonic generation (SHG) by primary (fundamental) circumferential guided wave (CGW) propagation is investigated from a numerical standpoint. To enable that the second harmonic of the primary CGW mode can accumulate along the circumferential direction, an appropriate mode pair of primary and double frequency CGWs is chosen. Finite element simulations and evaluations of nonlinear CGW propagation are analyzed for the selected CGW mode pair. The numerical simulations performed directly demonstrate that the response of SHG is completely generated by the desired primary CGW mode that satisfies the condition of phase velocity matching at a specific driving frequency, and that the second harmonic of the primary CGW mode does have a cumulative effect with circumferential angles. The numerical perspective obtained yields an insight into the complicated physical process of SHG of primary CGW propagation unavailable previously.
Received: 28 September 2016      Published: 29 December 2016
PACS:  43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)  
  43.25.+y (Nonlinear acoustics)  
  43.20.Mv (Waveguides, wave propagation in tubes and ducts)  
Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11474361, 11474093 and 11274388.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/33/12/124301       OR      https://cpl.iphy.ac.cn/Y2016/V33/I12/124301
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Ming-Liang Li
Ming-Xi Deng
Wu-Jun Zhu
Guang-Jian Gao
Yan-Xun Xiang
[1]Deng M X, Xiang Y X and Liu L B 2011 Chin. Phys. Lett. 28 074301
[2]Pruell C, Kim J Y, Jacobs L J and Qu J M 2009 Smart Mater. Struct. 18 035003
[3]Chillara V K and Lissenden C J 2015 Opt. Eng. 55 011002
[4]Muller M F, Kim J Y, Qu J M and Jacobs L J 2010 J. Acoust. Soc. Am. 127 2141
[5]Xiang Y X, Xuan F Z and Deng M X 2010 Chin. Phys. Lett. 27 016202
[6]Xiang Y X, Deng M X, Xuan F Z, Chen H and Chen D Y 2012 Chin. Phys. Lett. 29 106202
[7]Li W B, Cho Y and Achenbach J D 2012 Smart Mater. Struct. 21 085019
[8]Xiang Y X, Deng M X, Liu C J and Xuan F Z 2015 J. Appl. Phys. 117 214903
[9]Deng M X 2003 J. Appl. Phys. 94 4152
[10]Deng M X 2002 PhD Dissertation (Shanghai: Tongji University) (in Chinese)
[11]de Lima W J N and Hamilton M F 2003 J. Sound Vib. 265 819
[12]Chillara V K and Lissenden C J 2014 Ultrasonics 54 1553
[13]Rauter N and Lammering R 2015 Smart Mater. Struct. 24 045027
[14]Zhu W J, Deng M X, Xiang Y X and Xuan F Z 2016 Ultrasonics 68 134
[15]Zhao J L, Chillara V K, Ren B Y and Lissenden C 2016 J. Appl. Phys. 119 064902
[16]Chillara V K and Lissenden C 2013 Ultrasonics 53 862
[17]Rauter N and Lammering R 2015 Mech. Adv. Mater. Struct. 22 44
[18]Valle C, Qu J M and Jacobs L J 1999 Int. J. Eng. Sci. 37 1369
[19]Gao G J, Deng M X and Li M L 2015 Acta Phys. Sin. 64 184303 (in Chinese)
[20]Deng M X, Gao G J and Li M L 2015 Chin. Phys. Lett. 32 124305
[21]Simulia Abaqus 6.10 Documentation [2016-08-19]
[22]Hamilton M F and Blackstock D T 1998 Nonlinear Acoustics (New York: Academic)
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