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Radial Vibrations and Heating of a Ring Piezoplate under Electric Excitation Applied to Nonuniformly Electroded Surfaces

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Abstract

Radial vibrations and dissipative heating of a polarized piezoceramic ring plate are studied. The plate is excited by a harmonic electric field applied to nonuniformly electroded surfaces of the plate. The viscoelastic behavior of piezoceramics is described in terms of complex quantities. An analytical solution is found in the case of quasistatic harmonic loading. The dynamic nonlinear problem of coupled thermoviscoelasticity is solved with regard for the temperature dependence of the properties of piezoceramics by step-by-step integration in time, using the numerical methods of discrete orthogonalization and finite differences. A numerical analysis is conducted for TsTStBS-2 piezoceramics to study the influence of partial electroding on the stress–strain distribution, natural frequency, and amplitude–frequency and temperature–frequency characteristics

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REFERENCES

  1. A. M. Bolkisev, V. L. Karlash, and N. A. Shul'ga, “Temperature-dependence of the properties of piezoceramic materials,” Prikl. Mekh., 20, No. 7, 70–74 (1984).

    Google Scholar 

  2. O. V. Boriseiko, “Planar vibrations of a piezoceramic disk with controlled electric excitation,” in: All-Ukrainian Sci.-Meth. Conf. on Current Research and Methodology Issues in College-Level Mathematics [in Ukrainian], Vyd. UDUKhT, Kiev (2001), pp. 95–98.

    Google Scholar 

  3. Yu. A. Vengrenyuk, I. F. Kirichok, and N. I. Obizyuk, “Resonance vibrations and dissipative heating of piezoceramic spherical shells with thermal depolarization,” Akust. Vestn., 2, No. 2, 3–10 (1999).

    Google Scholar 

  4. V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga, Electroelasticity, Vol. 5 of the five-volume series Mechanics of Coupled Fields in Structural Elements [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

  5. V. G. Karnaukhov and I. F. Kirichok, Electrothermoviscoelasticity, Vol. 4 of the five-volume series Mechanics of Coupled Fields in Structural Elements [in Russian], Naukova Dumka, Kiev (1988).

    Google Scholar 

  6. V. G. Karnaukhov, I. F. Kirichok, and Yu. A. Vengrenyuk, “Electromechanical harmonic vibrations and dissipative heating of shells of revolution made of viscoelastic piezoactive materials with depolarization,” Prikl. Mekh., 33, No. 9, 34–42 (1997).

    Google Scholar 

  7. V. G. Karnaukhov, V. I. Kozlov, V. V. Mikhailenko, and S. V. Mikhailenko, “Planar vibrations of a piezoceramic plate with vibroheating-induced depolarization,” Prikl. Mekh., 30, No. 3, 67–73 (1994).

    Google Scholar 

  8. V. G. Karnaukhov, V. V. Mikhailenko, and S. V. Mikhailenko, “Axisymmetric vibration and dissipative heating of structurally inhomogeneous piezoelectric energy converters,” in: Abstracts of Papers Read at the 3rd Int. Meeting on Engineering and Physical Problems of New Technology (Moscow, May 17-19, 1994) [in Russian], Izd. MGTU, Moscow (1994), pp. 106–107.

    Google Scholar 

  9. I. F. Kirichok and Yu. A. Vengrenyuk, “Vibration and dissipative heating of a compound piezoelectric viscoelastic ring plate,” Prikl. Mekh., 27, No. 11, 61–67 (1991).

    Google Scholar 

  10. A. I. Shinkar', A. B. Kitaigorodskii, and S. K. Borshchevskaya, “Solving linear boundary-value problems for systems of ordinary differential equations,” in: Algorithms and Solvers for Solid Mechanics Problems [in Russian], Naukova Dumka, Kiev (1976), pp. 157–170.

    Google Scholar 

  11. V. L. Karlash, “Electroelastic characteristics of a piezoelectric transformer plate,” Int. Appl. Mech., 39, No. 7, 870–874 (2003).

    Google Scholar 

  12. V. L. Karlash, “Influence of energy losses on the performance of a piezoelectric transformer plate,” Int. Appl. Mech., 39, No. 8, 987–992 (2003).

    Google Scholar 

  13. V. L. Karlash, “Modal analysis of a rectangular piezoceramic plate with cross polarization,” Int. Appl. Mech., 39, No. 10, 1215–1220 (2003).

    Google Scholar 

  14. V. G. Karnaukhov, I. F. Kirichok, and V. I. Kozlov, “Electromechanical vibrations and dissipative heating of viscoelastic thin-walled piezoelements,” Int. Appl. Mech., 37, No. 2, 182–212 (2001).

    Google Scholar 

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    I. F. Kirichok

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  1. I. F. Kirichok
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Kirichok, I.F. Radial Vibrations and Heating of a Ring Piezoplate under Electric Excitation Applied to Nonuniformly Electroded Surfaces. International Applied Mechanics 40, 304–310 (2004). https://doi.org/10.1023/B:INAM.0000031913.89989.73

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  • DOI: https://doi.org/10.1023/B:INAM.0000031913.89989.73

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