Wave propagation in rotating elastic solid

Authors

  • Vladimir Ivanovich Erofeev Nizhny Novgorod Branch of the Mechanical Engineering Research Institute RAS
  • Natalia Vladimirovna Kluyeva Nizhny Novgorod Branch of the Mechanical Engineering Research Institute RAS
  • Igor Nikolaevich Soldatov Nizhny Novgorod Branch of the Mechanical Engineering Research Institute RAS

DOI:

https://doi.org/10.7242/1999-6691/2008.1.1.4

Keywords:

Abstract

The propagation of bulk and surface waves in a rotating solid is studied. Analysis is carried out for a general case when the angle between the direction of wave propagation and rotation axis is arbitrary.

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References

Pohl A., Ostermayer G., Reindl L., Seifert F. Monitoring the tire pressure at cars using passive SAW sensors. // IEEE Ultrasonic Symposium. - 1997. - V. 1. - P. 471-474.
Pohl A. Steindl R., Reindl L. The intelligent tire’ utilizing passive SWA sensors - Measurement of tire friction. // IEEE Trans. Instrum. Meas. - 1999. - V. 48. - P. 1041-1046. DOI
Hall M.S. et al. System for measuring the ultrasonic velocity in the thickness direction of moving webs without errors due to delay in the outset of digitations // J. Acoust. Soc. Am. - 1996. - V. 100, No 2. - Pt. 1. P. 686 (U.S. Patent No. 5493911).
Kawasaki K., Sekiguchi M., Matsuhisa T. Detecting flaws formed in surfaces of rotating members with ultrasonic waves // J. Acoust. Soc. Am. - 1991. - V. 90. - P. 3386. DOI
Lao B.Y. Gyroscopic effect in surface acoustic waves // IEEE Ultras. Symp. - 1980. - P. 687-690.
Jahangir E., Howe R.M. Time-optimal attitude control scheme for spinning missile // J. Guidance Contr. Dyn. - 1993. - V. 16. - P. 346-353. DOI
Clarke N.S., Burdess J.S. A rotation rate sensor based upon a Rayleigh resonator // ASME J. Appl. Mech. - 1994. - V. 61. - P. 139-143. DOI
Kurosawa M., Fukuda Y., Takasaki M., Higuchi T. A surface-acoustic wave gyroscope sensor // Sens. Actuators A. - 1998. - V. 66. - P. 33-39. DOI
Varadan V.K., Suh W.D., Xavier P.B., Jose K.A., Varadan V.V. Design and development of a MEMS-IDT gyroscope // J. Smart Mater. Struct. - 2000. - V. 9. - P. 898-905. DOI
Jose K.A., Suh W.D., Xavier P.B., Varadan V.K., Varadan V.V. Surface acoustic wave MEMS gyroscope // Wave Motion. - 2002. - V. 36. - P. 367-381. DOI
Schoenberg M., Censor D. Elastic waves in rotating media // Quart. Appl. Math. - 1973. - V. 31. - P. 115-125.
Hamisch H. Die Ausbreitung elastischer Wellen im rotierenden Medium // Acustica. - 1990. - V. 72 (4). - P. 275-279.
Grigor’evskij V.I., Gulaev U.V., Kozlov A.I. Akusticeskie volny vo vrasausejsa uprugoj srede // Akust. z. - 2000. - T. 46. - No 2. - C. 282-284.
Clarke N.S., Burdess J.S. Rayleigh waves on a rotating surface // ASME J. Appl. Mech. - 1994. - V. 61. - P. 724-726. DOI
Destrade M. Surface acoustic waves in rotating orthorhombic crystals // Proc. R. Soc. London. - 2003. - V. 460. - P. 653-665.
Destrade M. Rayleigh waves in anisotropic crystals rotating about the normal to a symmetry plane // ASME J. Appl. Mech. - 2004. - Vol. 71. - No 4. - P. 516-520. DOI
Ting T.C.T. Surface waves in a rotating anisotropic elastic half-space // Wave Motion. - 2004. - Vol. 40. - P. 329-346. DOI
Fang H., Yang J., Jiang Q. Rotation perturbed surface acoustic waves propagating in piezo-electric crystals // Int. J. Solids Struct. - 2000. - Vol. 37. - P. 4933-4947. DOI
Wauer J. Waves in rotating conducting piezoelectric media // J. Acoust. Soc. Am. - 1999. - V. 106. - P. 626--636. DOI
Roy Choudhuri S.K., Debnath L. Magneto-thermo-elastic plane waves in rotating media. // Int. J. of Engineering Science. - 1983. - V. 39. - P. 1217-1232.
Zhou Y.H., Jiang Q. Effects of Coriolis force and centrifugal force on acoustic waves propagating along the surface of a piezoelectric half-space. // Z. Angew. Math. Phys. - 2001. - V.52. - P. 950-965. DOI
Othman M.I. Effect of rotation on plane waves in generalized thermo-elasticity with two relaxation times // International Journal of Solids and Structures. - 2004. - V. 41. - P. 2939-2956. DOI
Erofeev V.I., Soldatov I.N. Akusticeskie volny vo vrasausemsa ideal’nom gaze // Akust. z. - 2000. - T. 46. - No 5. - S. 642-647.
Shuvalov A.L. On the theory of plane inhomogeneous waves in anisotropic elastic media // Wave Motion. - 2001. - V. 34. - P.401-429. DOI
Gantmaher F.R. Teoria matric. - M.: Nauka, 1988. - 552s.

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Published

2008-04-01

Issue

Vol. 1 No. 1 (2008)

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Articles

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Copyright (c) 2008 Computational Continuum Mechanics

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How to Cite

Erofeev, V. I., Kluyeva, N. V., & Soldatov, I. N. (2008). Wave propagation in rotating elastic solid. Computational Continuum Mechanics, 1(1), 39-47. https://doi.org/10.7242/1999-6691/2008.1.1.4