抄録
In this study, the nonlinear behavior of Lamb waves at contacting edges of linear elastic plates is investigated by the perturbation analysis using the hybrid finite element method. The contacting surfaces are modeled as a nonlinear spring interface, which takes into account quadratic nonlinearity. For the incidence of the lowest-order symmetric (SO) Lamb mode, the amplitude reflection and transmission coefficients of the SO mode, which are obtained by linear analysis, vary monotonically with the incident frequency. Due to the nonlinear interaction of the incident SO mode with the contacting interface, the double-frequency SO mode is generated. The amplitude of the generated second-harmonic SO mode has a sharp peak at the half of the resonance frequency of the contacting interface.