Summary
The axisymmetric vibration of a piezoelectric laminated hollow circular cylinder has been studied for an imperfect interface model. The frequency equation is derived for traction free inner and outer surfaces of the hollow cylinder with continuity conditions at the bonding interfaces. The composite cylinder is composed of two different piezoelectric materials belonging to 6 mm class and a hypothetical Linear Elastic Material with Voids (LEMV) as bonding layer. Numerical solutions of the frequency equation are obtained for the composite cylinder ceramic(1)/LEMV/ceramic(2). Computational results are presented as dispersion curves as well as in tables to characterize the attenuation of axial waves for three layered cylinders with and without voids in the thin LEMV layer.
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References
Adler, E. L.: Matrix methods applied to acoustic waves in multilayers. IEEE Trans. Ultrason. Ferroel. Freq. Contr.37, 485–490 (1990).
Hossack, J. A., Alud, B. A.: Improving the characteristics of a transducers using multiple piezoelectric layers. IEEE Trans. Ultrason. Ferroel. Freq. Contr.40, 131–139 (1993).
Toda, K., Yamamoto, Y.: Surface acoustic wave transducers in a layered structure composed of thin piezoelectric ceramic plate and glass. Jpn. J. Appl. Phys.32, 4230–4232 (1993).
Skinner, D. P., Newnham, R. E., Cross, L. E.: Flexible composite transducers. Mat. Res. Bull.13, 599–607 (1978).
Padmanabhan, V., Semmlow, J. L.: Accelerometer type cardiac transducer for detection of low-level heart sounds. IEEE Trans. Biomedical Eng.40, 21–28 (1993).
Nomura, T., Oobuchi, K., Yasuda, T., Furukawa, S.: Humidity sensor using surface acoustic wave delay line with hygroscopic dielectric film. Jpn. J. Appl. Phys.32, 4205–4208 (1993).
Sugizaki, G., Takenaka, T., Sakata, K., Toda, K.: Motion characteristics measurement of rotated object using surface acoustic wave oscillator. Jpn. J. Appl. Phys.32, 4237–4240 (1993).
Tzou, H. S.: A new distributed sensor and actuator theory for intelligent shells. J. Sound Vib.153, 335–349 (1992).
Crawley, E. F., Luis, J. D.: Use of piezoelectric actuators as elements of intelligent structures. AIAA J.25, 1373–1385 (1987).
Ray, M. C., Bhattacharya, R., Samanta, B.: Exact solutions for static analysis of intelligent structures. AIAA J.31, 1684–1691 (1993).
Rao, S. S., Sunar, M.: Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey. Appl. Mech. Rev.47, 113–123 (1994).
Harper, B. D., Staab, G. H., Chen, R. C.: A note on the effects of voids upon the hygral and mechanical properties of AS4/3502 graphite/epoxy. J. Comp. Mat.21, 280–289 (1987).
Nagy, P. B., Adler, L.: Nondestructive evaluation of adhesive joints by guided waves. J. Appl. Phys.66, 4658–4663 (1989).
Teller, C. M., Mal, A. K.: Recent advances in the application of leakey Lamb waves to the NDE of adhesive bonds. J. Adhes30, 1–4 (1989).
Rokhlin, S. I., Wang, Y. I.: Analysis of boundary conditions for elastic wave interaction with an interface between two solids. J. Acoust. Soc. Am.89, 503–515 (1991).
Jasiuk, I., Chen, J., Thorpe, M. F.: Elastic moduli of composites with rigid sliding inclusions. J. Mech. Phys. Solids40, 373–391 (1992).
Voorhees, E. J. V., Green, D. J.: Mechanical behavior of a ceramic sandwich composite system. J. Comp. Mat.26, 1664–1677 (1992).
Cowin, S. C., Nunziato, J. W.: Linear elastic material with voids. J. Elasticity13, 125–147 (1983).
Cowin, S. C.: The viscoelastic behavior of linear elastic material with voids. J. Elasticity15, 185–191 (1985).
Passman, S. L.: Stress relaxation, creep, failure and hysteresis in a linear elastic material with voids. J. Elasticity14, 201–212 (1984).
Vasudeva, R. Y., Govinda Rao, P.: Influence of voids in interface zones on Lamb wave propagation in composite plates. J. Acoust. Soc. Am.89, 516–522 (1991).
Vasudeva, R. Y., Govinda Rao, P.: Influence of voids in interface zones on Lamb-mode spectra in fiber-reinforced composite laminates. J. Appl. Phys.71, 612–619 (1992).
Paul, H. S., Nelson, V. K.: Axisymmetric vibration of piezoelectric composite cylinders. In: Proceedings of Third International Congress On Air and Structure-borne Sound and Vibration, Montreal, June 13–15, 1994, vol. 1, pp. 137–144 (1994).
Paul, H. S., Venkatesan, M.: Axisymmetric vibration of a piezoelectric solid cylinder guided by a thin film. J. Acoust. Soc. Am.80, 1091–1096 (1986).
Cowin, S. C., Puri, P.: The classical pressure vessel problems for linear elastic materials with voids. J. Elasticity13, 157–163 (1983).
Atkin, R. J., Cowin, S. C., Fox, N.: On boundary conditions for polar materials. ZAMP28, 1017–1022 (1977).
Puri, P., Cowin, S. C.: Plane waves in linear elastic materials with voids. J. Elasticity15, 167–183 (1985).
Berlincourt, D. A., Curran, D. R., Jaffe, H.: Physical acoustics, vol. 1, Pt. A., p. 204. New York: Academic Press 1964.
Zhang, C., Achenbach, J. D.: Effective wave velocity and attenuation in a material with distributed penny-shaped cracks. Int. J. Solids Struct.27, 751–767 (1991).
Dayal, V., Kinra, V. K.: A new technique for ultrasonic NDE of thin specimen. Exp. Mech.28, 288–297 (1988).
Williams, P. L., Dyson, M.: Gray's anatomy, 37th ed., p. 87. London: Churchill Livingstone 1992.
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Paul, H.S., Nelson, V.K. Axisymmetric vibration of piezocomposite hollow circular cylinder. Acta Mechanica 116, 213–222 (1996). https://doi.org/10.1007/BF01171431
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DOI: https://doi.org/10.1007/BF01171431