Nonlinear Interaction of Longitudinal and Torsional Quasi-Harmonic Waves in a Rod
The article considers the nonlinear mathematical model which describes the interconnected longitudinal and torsional waves extending in a rectilinear rod. It is shown that the nonlinear interaction in such system is asymmetrical: the longitudinal waves raise torsional waves in a parametrical way, the latter influence longitudinal waves as nonlinear power sources. Analytical solutions of the task on the self-coordinated resonant interaction of waves are found. Possible practice is discussed.