ON CERTAIN NONLINEAR WAVE EFFECT, WHICH OCCURS WHEN THE SECOND HARMONIC IS GENERATING
DOI:
https://doi.org/10.15407/dopovidi2025.01.022Keywords:
nonlinear elastic harmonic wave, generation of the second harmonic, phenomenon of deformation of the second harmonic profileAbstract
The problem under consideration belongs to mechanics. A specific type of waves (plane longitudinal waves) and a specific propagation medium (nonlinear elastically deforming according to the Murnaghan model) are selected and analyzed. The main goal of the analysis is to detect and comment on a new mechanical wave phenomenon. As a result, the existence of the nonlinear wave effect is certified (described and commented on) that accompanies the classical effect of forming the second harmonic of a harmonic wave at the output of a quadratically nonlinear medium when the first harmonic is generated at the input. The effect consists in asymmetric deformation of the profile of the formed second harmonic, which appears at the beginning of the wave motion and manifests itself in the shift of zeros to the left and peaks upward. As a result of the combination of two effects — the presence of the second harmonic in the second approximation and the deformation of its classical profile — the profile obtained in the two approximations becomes asymmetric.
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