Nonlinear acoustic phenomena in a quartzite rod resonator

• Published in: Wave motion 2017-07, Vol.72, p.187-200
• Main Authors: Nazarov, V.E., Kolpakov, A.B.
• Format: Article
• Language: English
• Subjects: Amplitude-dependent internal friction; Dissipative and reactive nonlinearity; Equations of state; Hysteresis; Nonlinear equations; Nonlinear phenomena; Nonlinearity; Phenomenology; Quartz; Quartzite; Resonator; Studies; Ultrasonic pulses
• ISSN: 0165-2125; 1878-433X
• DOI: 10.1016/j.wavemoti.2017.03.003

Here we have presented the results of experimental and theoretical studies of nonlinear acoustic effects (such as low-frequency amplitude-dependent losses, resonant frequency shifts, and high harmonic generation as well as a damping and carrier phase delay of weak ultrasonic pulses under powerful low-frequency pumping wave) in a rod resonator made of a crystalline rock – quartzite. Also, we have given an analytical description of the observed phenomena within the frameworks of the phenomenological equations of state that contain low-frequency hysteretic nonlinearity and both dissipative and reactive high-frequency nonlinearities. Comparison of experimental and analytical amplitude–frequency dependencies of the nonlinear phenomena allowed us to determine quartzite acoustic nonlinearities parameter values. •The results of experimental and theoretical studies of nonlinear acoustic phenomena in a quartzite rod resonator are presented.•Analytical description of the observed phenomena is carried out within the frames of the phenomenological state equations containing hysteretic, dissipative and reactive nonlinearity.•The values of quartzite acoustic nonlinearity parameters are determined.