Abstract
Harmonic generation in homogeneous, isotropic, stress-free elastic waveguides with arbitrary constant cross-sectional area is investigated theoretically. Perturbation and modal analysis are used to obtain solutions of the nonlinear equation of motion for harmonic generation. Conditions for internal resonance are quantified. There are no restrictions on the modes or frequencies of the primary waves. Calculations for second-harmonic and difference-frequency components are presented for cylindrical rods and shells.
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