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Self-Synchronization of the Oscillations of Electromechanical Transducers

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Measurement Techniques Aims and scope

Abstract

A physical-mathematical model is formulated and the conditions for the occurrence of self-excited oscillations of acoustoelectronic and piezoelectric transducers are determined. Resonance interaction of electromechanical transducers with a source of external electrical excitation is considered in the general case. It is shown, by analogy with mechanical oscillations, that it is best to use “shock-vibration” and recombination resonances to increase electromechanical coupling.

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REFERENCES

  1. A. I. Samburskii and V. K. Novik, Contactless Measurements of the Parameters of Rotating Objects [in Russian], Mashinostroenie, Moscow (1976).

    Google Scholar 

  2. L. I. Mandel'shtam, Lectures on Oscillations [in Russian], M. A. Leontovich (ed.), Izd. Akad. Nauk SSSR, Moscow (1955).

    Google Scholar 

  3. P. N. Lebedev, Experimental Investigation of the Ponderomotive Action of Electromagnetic Waves on Resonators. Collected Papers [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963), p 68.

    Google Scholar 

  4. N. D. Papaleksi, The Evolution of the Idea of Resonance. Collected Papers [in Russian], S. M. Rytov (ed.), Izd. Akad. Nauk SSSR, Moscow (1948), p. 343.

    Google Scholar 

  5. I. I. Blekhman, Synchronization of Dynamic Systems [in Russian], Nauka, Moscow, (1971).

    Google Scholar 

  6. T. S. Krasnopol'skaya, Resonance Phenomena in Elastic Systems with Limited Excitation, Candidate Dissertation, Moscow (1977).

  7. A. A. Zakharova, Self-Excited Wave Effects in Semiconductor and Dielectric Systems, Candidate Dissertation, Moscow (1983).

  8. Yu. A. Rzhanov et al., Pis'ma v ZhTF, 9,No. 4, 197 (1983).

    Google Scholar 

  9. Yu. A. Balkerei, M. G. Nikulin, and M. I. Elinson, in: Problems of Modern Radio Engineering and Electronics [in Russian], V. A. Kotel'nikov (ed.), Nauka, Moscow (1980), p. 431.

    Google Scholar 

  10. P. N. Zavodvorov, Radiotekh. Elektron., 3,No. 2, 286 (1958).

    Google Scholar 

  11. N. N. Lunacharskii, Radiotekh. Elektron., 4,No. 2, 286 (1959).

    Google Scholar 

  12. V. N. Yakovlev, Transistor Pulse Generators [in Russian], Tekhnika, Kiev (1968).

    Google Scholar 

  13. V. N. Yakovlev and L. A. Cherkasov, Izv. Vyssh. Ucheb. Zaved. Radioelektron., 12,No. 1, 72 (1969).

    Google Scholar 

  14. A. N. Ser'eznov et al., Negatronics [in Rusian], Nauka, Novosibirsk (1995).

    Google Scholar 

  15. A. A. Aref'ev, A. N. Ser'eznov, and L. N. Stepanova, Equivalents of Devices with Negative Differential Resistance. Series 2. Radioelectronics and Communications [in Russian], Znanie, Moscow (1987).

    Google Scholar 

  16. G. Yu. Khrenov, Mathematical Modeling of Nonstationary Electronic Processes in Vertical and Planar Submicron GaAs Field-Effect Transistors, Candidate Dissertation, Moscow (1998).

  17. A. I. Shelest and V. Z. Kagan, Differential Equations and Their Applications [in Russian], Dnepropetrovsk (1971).

  18. W. Cady, Piezoelectricity and Its Practical Applications [Russian translation], IIL, Moscow (1949).

    Google Scholar 

  19. L. W. Hussey and L. R. Wrathall, Bell Syst. Tech. J., 15,No. 3, 441 (1936).

    Google Scholar 

  20. K. F. Teodorchik, Self-Excited Oscillatory Systems [in Russian], GITTL (1948).

  21. T. Hayasi, Nonlinear Oscillations in Physical Systems [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  22. A. A. Alifov and K. V. Frolov, The Interaction of Nonlinear Oscillatory Systems with a Power Source [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  23. A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillations [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  24. P. S. Landa, Nonlinear Waves and Oscillations [in Russian], Nauka, Moscow (1997).

    Google Scholar 

  25. G. Nikolis and I. Prigozhin, Self-Organization in Nonequilibrium Systems (from Dissipative Structures to Ordering via Fluctuations) [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  26. H. Haken, Synergetics [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  27. A. Yu. Loskutov, Nelinein. Dinam. Upravl., No. 1, 163 (2001).

  28. A. M. Bolkisev and N. A. Shul'ga, Prikl. Mekh., 21,No. 5, 118 (1985).

    Google Scholar 

  29. N. V. Ostrovskii and A. I. Polovina, Fiz. Tverd. Tela, 20,No. 11, 3430 (1978).

    Google Scholar 

  30. G. Kossov, IEEE Trans. Sonics, Ultrasonics, SU-13,No. 1, 20 (1966).

    Google Scholar 

  31. O. G. Pavlenko, Electromechanical and Magnetomechanical Changes in Electrodynamic Systems with Oscillatory Piezoelectric and Ferromagnetic Materials, Candidate Dissertation, Moscow (1974).

  32. A. V. Mezharitskii, Elektrich., No. 10, 65 (1984).

  33. A. V. Mezharitskii and P. E. Kandyba, Elektrich., No. 4, 66 (1986).

  34. V. M. Bogomol'nyi, Izmer. Tekh., No. 3, 53 (1997).

  35. G. Shraiber, Infra-Red Rays in Electronics. Practical Infra-Red Radiator and Receiver Circuits, Active and Passive Sensors [in Russian], DMK Press, Moscow (2001).

    Google Scholar 

  36. V. M. Bogomol'nyi, Izmer. Tekh., No. 5, 46 (2001).

  37. I. M. Chizhenko, I. A. Kurilo, and O. S. Yakimov, Probl. Tekh. Elektrodin., No. 71, 3 (1979).

  38. A. I. Kopeikin and S. I. Malafeev, Controllable Electromechanical Oscillatory Systems [in Russian], Posad, Vladimir (2001).

    Google Scholar 

  39. Ch. J. Cross and S. Fluter, Smart Materials and Structures, 11,No. 2, 239 (2002).

    Google Scholar 

  40. T. Sakurada, Y. Kadoya and M. Yamanishi, Jap. J. Appl. Phys., 41, Pt. 2, No. 3a, L256 (2002).

    Google Scholar 

  41. V. M. Bogomol'nyi, Izmer. Tekh., No. 8, 51, (1998).

  42. D. Ferry, L. Eikers, and E. Greenwich, Ultralarge Integrated Circuit Electronics [Russian translation], Mir, Moscow (1991).

    Google Scholar 

  43. A. N. Malakhov, Fluctuations in Self-Excited Oscillatory Systems [in Russian], Nauka, Moscow (1968).

    Google Scholar 

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Bogomol'nyi, V.M. Self-Synchronization of the Oscillations of Electromechanical Transducers. Measurement Techniques 46, 601–611 (2003). https://doi.org/10.1023/A:1025424314466

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