Low- and high-frequency nonlinear acoustic phenomena in a magnesite

•The results studies of nonlinear acoustic phenomena in a magnesite rod are presented.•The phenomena is described within the by the hysteretic, dissipative and reactive nonlinearity.•The values of a magnesite acoustic nonlinearity parameters are determined. The results of experimental and theoretical studies of nonlinear acoustic phenomena (amplitude-dependent losses, resonant frequency shifts, damping of weak ultrasonic pulses and their carrier frequency phase delay under action of a powerful low-frequency pumping wave as well as amplitude-phase self-action of the finite-amplitude ultrasonic pulses) in a magnesite rod are presented. Analytical description of the observed phenomena was carried out within the frameworks of the phenomenological state equations that contain low-frequency hysteretic nonlinearity and both high-frequency dissipative and elastic nonlinearity. From comparison of experimental and analytical amplitude–frequency dependences of nonlinear phenomena, the values of magnesite acoustic nonlinearity parameters were determined. The frequency dependences have been discovered for hysteretic (in a range 3.6–17.2kHz) as well as dissipative and elastic nonlinearity (in a range 50–370kHz).