| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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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| Cite this article: |
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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.
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Received: 28 September 2016
Published: 29 December 2016
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| PACS: |
43.35.+d
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(Ultrasonics, quantum acoustics, and physical effects of sound)
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43.25.+y
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(Nonlinear acoustics)
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43.20.Mv
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(Waveguides, wave propagation in tubes and ducts)
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11474361, 11474093 and 11274388. |
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