中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4232-4241.doi: 10.1088/1674-1056/17/11/046

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Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate

邓明晰1, 项延训2   

  1. (1)Department of Physics, Logistics Engineering University, Chongqing 400016, China; (2)School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China
  • 收稿日期:2008-04-02 修回日期:2008-05-14 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the Shanghai Leading Academic Discipline Project, China (Grant No B503).

Cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate

Xiang Yan-Xun (项延训)a, Deng Ming-Xi (邓明晰)b    

  1. a School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China; b Department of Physics, Logistics Engineering University, Chongqing 400016, China
  • Received:2008-04-02 Revised:2008-05-14 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the Shanghai Leading Academic Discipline Project, China (Grant No B503).

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摘要： The physical process of cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate is presented by using the second-order perturbation and the technique of nonlinear reflection of acoustic waves at an interface. In general, the cumulative second-harmonic generation of a dispersive guided wave propagation does not occur. However, the present paper shows that the second-harmonic of Lamb wave propagation arising from the nonlinear interaction of the partial bulk acoustic waves and the restriction of the three boundaries of the solid plates does have a cumulative growth effect if some conditions are satisfied. Through boundary condition and initial condition of excitation, the analytical expression of cumulative second-harmonic of Lamb waves propagation is determined. Numerical results show the cumulative effect of Lamb waves on second-harmonic field patterns.

关键词: Lamb waves, second harmonics, cumulative effect, layered plates

Abstract: The physical process of cumulative second-harmonic generation of Lamb waves propagating in a two-layered solid plate is presented by using the second-order perturbation and the technique of nonlinear reflection of acoustic waves at an interface. In general, the cumulative second-harmonic generation of a dispersive guided wave propagation does not occur. However, the present paper shows that the second-harmonic of Lamb wave propagation arising from the nonlinear interaction of the partial bulk acoustic waves and the restriction of the three boundaries of the solid plates does have a cumulative growth effect if some conditions are satisfied. Through boundary condition and initial condition of excitation, the analytical expression of cumulative second-harmonic of Lamb waves propagation is determined. Numerical results show the cumulative effect of Lamb waves on second-harmonic field patterns.

Key words: Lamb waves, second harmonics, cumulative effect, layered plates

中图分类号:  (Acoustical properties)

  • 68.35.Iv
43.25.Dc (Nonlinear acoustics of solids)