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Abstrakty
Mathematical modeling of axisymmetric waves in a piezoelectric fiber of circular cross section coated with thin film is studied using three-dimensional theory of piezoelectricity. Potential functions are introduced to uncouple the equations of motion, electric conduction equations. The surface area of the fiber is coated by a perfectly conducting gold material. The frequency equations are obtained for longitudinal and flexural modes of vibration and are studied numerically for PZT-4 ceramic fiber. The computed nondimensional frequencies and attenuation for fiber with and without coating are presented in the form of dispersion curves.
Czasopismo
Rocznik
Tom
Strony
637--648
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
- Department of Mathematics, Karunya University, Coimbatore, Tamil Nadu, India
Bibliografia
- [1] Mindlin, R.D.: On the equations of motion of piezoelectric crystals, problems of continuum, in: N. I. Muskelishvili (Ed.). Mechancis. 70th Birthday volume. SIAM: Philadelphia, 282-290, 1961.
- [2] Mindlin, R. D.: Equations of Higher Frequency vibrations of Thermo-piezoelectric, crystal plates. Interactions in Elastic Solids. Springer: Wein, 1979.
- [3] Nowacki, W.: Foundations of linear piezoelectricity, in: H.Parkus (Ed.), Electromagnetic Interactions in Elastic Solids, Springer: Wein, (Chapter1), 1979.
- [4] Chandrasekharaiah, D. S.: A temperature rate dependent theory of piezoelectricity, J. Therm.Stresses, 7, 293-306, 1984.
- [5] Chandrasekharaiah, D. S.: A generalized linear thermoelasticity theory of piezoelectric media, Acta Mech, 71, 39-49, 1988.
- [6] Pal, A. K.: Surface waves in a thermo-piezoelectric medium of monoclinic symmetry. Czechoslovak J. phy, 29, 1271-1281, 1979.
- [7] Paul, H. S. and Ranganathan, K.: Free vibrations of a pyroelectric layer of hexagonal (6mm) class, J. Acoust.Socie. America, 78, 395-397, 1985.
- [8] Yang, J. S. and Batra, R. C.: Free vibrations of a linear thermo-piezoelectric body, J. Therm.Stresses, 18, 247-262, 1995.
- [9] Sharma, J. N. and Kumar, M.: Plane harmonic waves in piezo-thermoelastic materials, Indian J. Engi. Mater. Sci, 7, 2000,434-442.
- [10] Graff, K. F.: Wave motion in Elastic Solids, Dover, Newyork, 1991.
- [11] Achenbach, J. D.: Wave motion in Elastic solids, North-Holland, Amsterdam, 1973.
- [12] Sinha, K., Plona, J., Kostek, S. and Chang, S.: Axisymmetric wave propagation in a fluid-loaded cylindrical shells. I: Theory; II Theory versus experiment, J. Acoust.Socie. America, 92, 1132-1155, 1992.
- [13] Berliner, J. and Solecki, R.: Wave Propagation in a fluid-loaded, transversely isotropic cylinders. Part I. Analytical formulation; Part II Numerical results, J. Acoust.Socie. America, 99, 1841-1853, 1996.
- [14] Ponnusamy, P. and Selvamani, R.: Wave propagation in magneto thermo elastic cylindrical panel, European J. Mech. A/Solids, 39, 76-85, 2013.
- [15] Ponnusamy, P. and Selvamani, R.: Wave propagation in a transversely isotropic magneto-electro-elastic solid bar immersed in an inviscid fluid, J. Egyptian Mathe. Soc, 24, 92-99, 2016.
- [16] Dayal, V.: Longitudinal waves in homogeneous anisotropic cylindrical bars immersed in fluid, J. Acoust.Socie. America, 93, 1249-1255, 1993.
- [17] Nagy, B.: Longitudinal guided wave propagation in a transversely isotropic rodimmersed in fluid, J. Acoust.Socie. America, 98(1), 454-457, 1995.
- [18] Ahmad, F.: Guided waves in a transversely isotropic cylinder immersed in fluid, J. Acoust.Socie. America, 109, 3, 886-890, 2001.
- [19] Selvamani, R.: Dispersion analysis in a fluid filled and immersed transversely isotropic thermo-electro-elastic hollow cylinder, Mechanics & Mechanical Engineering, 20, 3, 209-231, 2016.
- [20] Selvamani, R.: Influence of thermo-piezoelectric field in a circular bar subjected to thermal loading due to laser pulse, Mater.Phy. and Mech, 27, 1-8, 2016.
- [21] Paul, H. S.: Vibrations of circular cylindrical shells of piezo-electric silver iodide crystals, J. Acoust.Socie. America, 40, 5, 1077-1080, 1966.
- [22] Berlincourt, D. A., Curran, D. R. and Jaffe, H.: Piezoelectric and piezomagnetic materials and their function in transducers, Physical Acoustics, 1A, (W.P.Mason, editor), New York and London: Academic Press, 1964.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0f1ac722-d1b4-4c96-a04b-b26347d22236