Abstract
A modal analysis is presented to derive second-harmonic generation of shear horizontal modes in an elastic plate. Under second-order perturbation the second harmonics will generate along with shear horizontal mode propagation due to the bulk elastic nonlinearity of the plate material. The fields of the second harmonics are regarded as superpositions of fields of harmonic frequency Lamb modes. The analysis results show that the field component of harmonic frequency Lamb modes may have a cumulative growth effect as its phase velocity exactly or approximately equals that of shear horizontal modes. The exact solution to the second harmonics is obtained.
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