- Open Access
Intrinsic eigenvibration frequency in the resonant ultrasound spectroscopy: Evidence for a coupling vibration between a sample and transducers
Earth, Planets and Space volume 54, pages 763–770 (2002)
The resonant ultrasound spectroscopy enables us to measure elastic constants of various materials with high accuracy. One of its curious features is resonance frequency shift caused by modulation of clamp force for a sample, although its mechanism has not been clarified yet. A coupling vibration model is newly proposed to interpret this phenomenon and predict its functional form. Further, it is confirmed that the resulted functional forms depend on characteristics of each eigenvibration mode. The extrapolation based on those functional forms enables us to correct measured frequency to the intrinsic one with improved accuracy at least by one order of magnitude. Thus the correction is essential in order to obtain accurate derivatives of frequency with respect to temperature, pressure, composition, and so forth.
Migliori, A. and J. Sarrao, Resonant ultrasound spectroscopy, John Wiley & Sons, New York, 1997.
Ohno, I., Free vibration of a rectangular parallelepiped crystal and its application to determination of elastic constants of orthorhombic crystals, J. Phys. Earth, 24, 355–379, 1976.
Ohno, I., M. Abe, M. Kimura, Y. Hanayama, H. Oda, and I. Suzuki, Elasticity measurement of silica glass under gas pressure, American Mineralogist, 85, 288–291, 2000.
Schreiber, E., O. L. Anderson, and N. Soga, Elastic constants and their measurement, McGraw Hill, New York, 1973.
Spetzler, H. A., G. Chen, S. Whitehead, and I. C. Getting, A new ultrasonic interferometry for the determination of equation of state parameter of sub-milimeter single crystal, Pure Appl. Geophys., 141, 341–377, 1993.
Sumino, Y., I. Ohno, T. Goto, and M. Kumazawa, Measurement of elastic constants and internal frictions on single-crystal MgO by rectangular parallelepiped resonance, J. Phys. Earth, 24, 263–273, 1976.
Suzuki, I., I. Ohno, and O. L. Anderson, Harmonic and anharmonic properties of spinel MgAl2O4, American Mineralogist, 85, 304–311, 2000.
Timoshenko, S. P. and J. N. Goodier, Theory of Elasticity third edition, p. 412, McGraw Hill, New York, 1970.
Visscher, W. M., A. Migliori, T. M. Bell, and R. A. Reinert, On the normal modes of free vibration of inhomogeneous and anisotropic elastic objects, J. Acoust. Soc. Am., 90, 2154–2162, 1991.
Yoneda, A., Pressure derivatives of elastic constants of single crystal MgO and MgAl2O4, J. Phys. Earth, 38, 19–55, 1990.
Yoneda, A., The xyzr algorithm specialized for eigenvibration problem of bored and laminated objects, J. Sound and Vibration, 236, 431–441, 2000.
About this article
Cite this article
Yoneda, A. Intrinsic eigenvibration frequency in the resonant ultrasound spectroscopy: Evidence for a coupling vibration between a sample and transducers. Earth Planet Sp 54, 763–770 (2002). https://doi.org/10.1186/BF03351729
- Resonance Frequency
- Frequency Shift
- Elastic Wave Velocity
- Coupling Vibration
- Resonance Frequency Shift