Wave propagation in piezoelectric rings with rectangular cross-sections

• Autorzy: Zhang X. , Wang Y. , Chen H.

Identyfikatory

DOI

10.15632/jtam-pl.53.3.673

• Języki publikacji: EN

Abstrakty

EN

The ring ultrasonic transducers are widely used in the ocean engineering and medical fields. This paper employs an extended orthogonal polynomial approach to solve the guided wave propagation in two-dimensional structures, i.e. piezoelectric rings with rectangular cross- -sections. The extended polynomial approach can overcome the drawbacks of the conven- tional orthogonal polynomial approach which can be used to solve wave propagation in one-dimensional structures. Through numerical comparison with the available results for a rectangular aluminum bar, the validity of the present approach is illustrated. The dispersion curves and displacement and electric potential distributions of various rectangular piezo- electric rings are calculated, and the effects of different radius to thickness ratios, width to height ratios and polarizing directions on the dispersion curves are illustrated.

Słowa kluczowe

EN

piezoelectric rings; orthogonal polynomial; guided wave; dispersion curves

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 3
• Strony: 673--682
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Zhang X.

• School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, P.R. China

autor

Wang Y.

• School of Materials Science and Engineering, Henan Polytechnic University, Jiaozuo, P.R. China

autor

Chen H.

• School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, P.R. China

Bibliografia

• 1. Cai C., Liu G.R., Lam K.Y., 2001, A technique for modelling multiple piezoelectric layers, Smart Materials And Structures, 10, 689
• 2. Chakraborty A., 2009, Wave Propagation in Porous Piezoelectric Media, Computer Modeling in Engineering and Sciences, 40, 105
• 3. Han X., Liu G.R., Ohyoshi T., 2004, Dispersion and characteristic surfaces of waves in hybrid multilayered piezoelectric circular cylinders, Computational Mechanics, 33, 334-344
• 4. Ing Y.S., Liao H.F., Huang K.S., 2013, The extended Durbin method and its application for piezoelectric wave propagation problems, International Journal of Solids and Structures, 50, 4000-4009
• 5. Lefebvre J.E., Zhang V., Gazalet J., Gryba T., 1999, Legendre polynomial approach for modeling free-ultrasonic waves in multilayered plates, Journal of Applied Physics, 85, 3419-3427
• 6. Loveday P.W., 2006, Numerical comparison of patch and sandwich piezoelectric transducers for transmitting ultrasonic waves, Smart Structures and Materials. International Society for Optics and Photonics, 6166, 1-8
• 7. Paul H.S., Venkatesan M., 1987, Vibrations of a hollow circular cylinder of piezoelectric ceramics, The Journal of the Acoustical Society of America, 82, 952-956
• 8. Puzyrev V., Storozhev V., 2011, Wave propagation in axially polarized piezoelectric hollow cylinders of sector cross section, Journal of Sound and Vibration, 330, 4508-4518
• 9. Shul’ga H.A., 2002, Propagation of harmonic waves in anisotropic piezoelectric cylinders. Homo-geneous piezoceramic waveguides, International Applied Mechanics, 38, 933-953
• 10. Singh B.M., Rokne J., 2013, Propagation of SH waves in layered functionally gradient piezoelectric-piezomagnetic structures, Philosophical Magazine, 93, 1690-1700
• 11. Wilson L.O., Morrison J.A., 1977, Wave propagation in piezoelectric rods of hexagonal crystal symmetry, Journal of Mechanics and Applied Mathematics, 30, 387-395
• 12. Yu J.G., Lefebvre J.E., Guo Y.Q., 2013, Wave propagation in multilayered piezoelectric spherical plates, Acta Mechanica, 224, 1335-1349
• 13. Yu J.G., Ma Q.J., 2008, Circumferential wave in functionally graded piezoelectric cylindrical curved plates, Acta Mechanica, 198, 171-190
• 14. Yu J.G., Wu B., Chen G.Q., 2009, Wave characteristics in functionally graded piezoelectric hollow cylinders, Archive of Applied Mechanics, 79, 807-824
• 15. Zenkour A.M., 2012, Piezoelectric behavior of an inhomogeneous hollow cylinder with thermal gradient, International Journal of Thermophysics, 33, 1288-1301