Related Experiment Video
Updated: May 7, 2026
08:01
Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures
Published on: November 21, 2019
Low- and high-frequency nonlinear acoustic phenomena in a magnesite
1Institute of Applied Physics RAS, 46 Uljanov Str., Nizhny Novgorod 603950, Russia.
Ultrasonics
|September 17, 2013
Summary
This study reveals nonlinear acoustic phenomena in magnesite rods, detailing amplitude-dependent losses and frequency shifts. Researchers quantified magnesite
Area of Science:
- Acoustics
- Materials Science
- Solid State Physics
Background:
- Nonlinear acoustic phenomena, such as amplitude-dependent losses and frequency shifts, are crucial for understanding material behavior under acoustic stress.
- Magnesite, a magnesium carbonate mineral, exhibits complex acoustic responses due to its inherent material properties.
- Previous studies have explored acoustic nonlinearity in various materials, but a comprehensive analysis in magnesite rods, particularly concerning frequency-dependent nonlinearities, is needed.
Purpose of the Study:
- To experimentally and theoretically investigate nonlinear acoustic phenomena in a magnesite rod.
- To analytically describe observed phenomena using phenomenological state equations incorporating hysteretic, dissipative, and elastic nonlinearities.
- To determine the acoustic nonlinearity parameters of magnesite and analyze their frequency dependencies.
Main Methods:
- Experimental studies of nonlinear acoustic phenomena, including damping of ultrasonic pulses and carrier frequency phase delay.
- Theoretical analysis using phenomenological state equations with low-frequency hysteretic nonlinearity and high-frequency dissipative/elastic nonlinearity.
- Comparison of experimental and analytical amplitude-frequency dependences to determine nonlinearity parameters.
Main Results:
- Observed and described nonlinear acoustic phenomena in a magnesite rod, including amplitude-dependent losses and resonant frequency shifts.
- Determined magnesite acoustic nonlinearity parameters by comparing experimental and analytical data.
- Discovered frequency dependencies for hysteretic nonlinearity (3.6–17.2 kHz) and dissipative/elastic nonlinearity (50–370 kHz).
Conclusions:
- The study successfully characterized nonlinear acoustic phenomena in magnesite rods.
- Phenomenological state equations effectively describe the observed acoustic nonlinearities.
- The determined frequency-dependent nonlinearity parameters provide valuable insights into magnesite's acoustic behavior.
Related Concept Videos
01:13The Cochlea
The cochlea is a coiled structure in the inner ear that contains hair cells—the sensory receptors of the auditory system. Sound waves are transmitted to the cochlea by small bones attached to the eardrum called the ossicles, which vibrate the oval window that leads to the inner ear. This causes fluid in the chambers of the cochlea to move, vibrating the basilar membrane.
01:14Sound Waves: Resonance
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
01:28Standing Waves in a Cavity
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by: