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Methodological notes


Self-oscillatory systems with high-frequency energy sources

 a,
a Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

Three types of systems in which the excitation of oscillations due to high-frequency energy sources is possible have been considered. Despite widely held ideas, one can classify such systems as self-oscillatory. Systems with times of interaction with the energy source that are short in comparison with the period of the oscillations which arise are the first type. Systems of the second type are those having two degrees of freedom, one of which is high-frequency and the other is low-frequency. Transfer of the energy of the high-frequency source to the energy of low-frequency oscillations is achieved by the formation of combination frequencies. Thermomechanical systems are the third type. The role of the high-frequency energy source is to maintain the necessary temperature of the element being heated. Self-modulation of the parameters is the cause of oscillation excitation in such systems.

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Fulltext is also available at DOI: 10.1070/PU1989v032n08ABEH002750
PACS: 05.45.−a
DOI: 10.1070/PU1989v032n08ABEH002750
URL: https://ufn.ru/en/articles/1989/8/f/
Citation: Landa P S, Duboshinskii Ya B "Self-oscillatory systems with high-frequency energy sources" Sov. Phys. Usp. 32 723–731 (1989)
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Оригинал: Ланда П С, Дубошинский Я Б «Автоколебательные системы с высокочастотными источниками энергии» УФН 158 729–742 (1989); DOI: 10.3367/UFNr.0158.198908g.0729

References (73) ↓ Cited by (18) Similar articles (20)

  1. J. W. S. Rayleigh The Theory Of Sound (Macmillan, London, 1986); Russ. transl., J. W. S. Rayleigh The Theory Of Sound (Gostekhizdat, M, 1955)
  2. L. I. Mandel'stam Izd. Akad. Nauk SSSR, M. Lectures On Vibrations, In: Collected Works Vol. 4 (1955) p. 131, 147, [in Russian]
  3. A. A. Andronov, A. A. Vitt, and S. E. Khaikin Theory Of Oscillators (Addison-Wesley, Pergamon Press, Oxford, 1966); Russ. original, A. A. Andronov, A. A. Vitt, and S. E. Khaikin Theory Of Oscillators (Fiz-matgiz, M., 1959)
  4. K. F. Teodorchik Self-Oscillatory Systems (Gostekhizdat, M, 1952), [in Russian]
  5. S. P. Strelkov Introduction To The Theory Of Oscillations (Nauka, M., 1964), [in Russian]
  6. P. S. Landa Self-Oscillations In Systems With A Finite Number Of Degrees Of Freedom (Nauka, M., 1980), [in Russian]
  7. I. I. Minakova Non-Autonomous Regimes Of Self-Oscillatory Systems (Izd. Moskovskogo Universiteta, M., 1987), [in Russian]
  8. M. I. Rabinovich and D. I. Trubetskov Introduction To The Theory Of Oscillations And Waves (Nauka, M., 1984), [in Russian]
  9. Yu. I. Neimark and P. S. Landa Stochastic And Chaotic Oscillations (Nauka, M., 1987), [in Russian]
  10. V. V. Migulin, V. I. Medvedev, E. R. Mustel', and V. N. Parygin Funda-mentalsofthe Theory Of Oscillations (Nauka, M., 1988), [in Russian]
  11. D. B. Duboshinskii, Yu. V. Galkin, Ya. B. Duboshinskii, and D. I. Penner Valdimir Gos. Pedagog. Inst., Uchen. Zapiski, Ser. “Fizika” 40 (No. 6) 50 (1972)
  12. M. I. Kozakov Vladimir Gos. Pedagog. Inst., Uchen. Zapiski, Ser. “Fizika” 40 (No. 6) 58, 63 (1972)
  13. D. I. Penner, Ya. B. Duboshinskii, D. B. Duboshinskii, and M. I. Kozakov Dokl. Akad. Nauk SSSR 204 1065 (1972); D. I. Penner, Ya. B. Duboshinskii, D. B. Duboshinskii, and M. I. Kozakov Sov. Phys.-Doklady 17 541 (1972)
  14. D. I. Penner, D. B. Duboshinskii, et al Usp. Fiz. Nauk 109 402 (1973); D. I. Penner, D. B. Duboshinskii, et al Sov. Fiz. Usp. 16 158 (1973)
  15. D. B. Duboshinskii Some Questions Of Exciting Undamped Oscillations (Vladimir Gos. Pedagog. Inst., Vladimir, 1974) p. 87, [in Russian]
  16. R. F. Ganiev and L. E. Ukrainski&ibreve; The Dynamics Of Particles Under The Action Of Vibrations (Naukova Dumka, Kiev, 1975) p. 141, [in Russian]
  17. Yu. V. Galkin The Oscillations Of An Anharmonic Oscillator Under The Action Of A Coordinate-Dependent Force (Donetski&ibreve; Fiziko-Tekhn. Inst., Donetsk, 1980), [in Russian]
  18. A. A. Belov, M. D. Karasev, S. I. Korovin, I. P. Lyapunov, V. I. Medvedev, and N. G. Khokholov New Designs, Materials, And Processes In The Clock Industry (Trudy Nauchno-Issled. Inst. Chasproma, Series) No. 22 (1976) p. 29, (in Russian)
  19. P. S. Landa and Ya. B. Duboshinskii Some Questions Of Exciting Undamped Oscillations (Vladimir Gos. Pedagog. Inst., Vladimir, 1974) p. 134, [in Russian]
  20. M. D. Karasev Vestn. Moskovskogo Univ., Ser. “Fizika. Astronomiya” 15 (No. 3) 365 (1974)
  21. L. A. Va&ibreve;nshtein and Ya. B. Duboshinski&ibreve; Zh. Tekh. Fiz. 48 1321 (1978); L. A. Va&ibreve;nshtein and Ya. B. Duboshinski&ibreve; Sov. Phys.-Tech. Phys. 23 745 (1978)
  22. L. A. Va&ibreve;nshte&ibreve;n, D. E. Vakman The Separation Of Frequencies In The Theory Of Oscillations And Waves (Nauka, M., 1983) p. 105, [in Russian]
  23. P. K. Khabibullin, Ya. B. Duboshinski&ibreve;, A. A. Rukhadze, et al Materials of the First Ail-Union Conference on Quantum Acoustics and Acoustical Electronics (F. Acad. Nauk (Tashkent), 1978) p. 22, [in Russian]
  24. L. V. Balakin, M. D. Karasev, and V.I. Medvedev Vestn. Moskovskogo Univ., Ser. “Fizika. Astronomiya” 22 (No. 3) 3 (1981)
  25. V. N. Damgov, D. B. Duboshinski&ibreve;, Ya. B. Duboshinskii, and D. I. Penner Reports of the Tenth International Conference on Non-Linear Oscillations (Press of the Bulgarian Academy of Sciences, Sofia, Bulgaria, 1985) p. 295
  26. P. S. Landa Mashinovedenie (No. 6) 90 (1988); P. S. Landa Sov. Mach. Sci. (1988)
  27. Yu. A. Mitropolski&ibreve; Averaging Methods In Nonlinear Mechanics (Naukova Dumka, Kiev, 1971), [in Russian]
  28. D. B. Duboshinski&ibreve;, Ya. B. Duboshinski&ibreve;, et at Zh. Tekh. Fiz. 49 1160 (1979); D. B. Duboshinski&ibreve;, Ya. B. Duboshinski&ibreve;, et at Sov. Phys.-Tech. Phys. 24 642 (1979)
  29. G. M. Zaslavski&ibreve; Statistical Irreversibility In Nonlinear Systems (Nauka, M., 1970), [in Russian]
  30. V. K. Astashev, V. I. Babitski&ibreve;, and A. N. Tresvyatski&ibreve; A Scanner For Photoelectric Devices For Guiding On Measurement Lines In Metal-cutting Machine Tools Vol. 43 (1977) p. 4, (Avt. Svidetel'stvo No. 580860, Byulle-tin Izobretenii) [in Russian]
  31. N. N. Andreev Zh. Prikl. Fiz. 2 205 (1925)
  32. M. J. Bethenod Acad. Sci. 207 847 (1938)
  33. Y. Rocard Dynamique Generate Des Vibrations Vol. 1949 (Masson et Cie, Paris) ch. 10.
  34. N. Minorsky Nonlinear Oscillations (van Nostrand, N.Y. Princeton, N.J., 1962) p. 495, 498
  35. D. B. Duboshinskii, A. G. Karapetyan, et al Some Questions Of Exciting Undamped Oscillations (Valdimir Gos. Pedagog. Inst., Vladimir, 1974) p. 55, [in Russian]
  36. N. D. Papaleksi "One Case of Parametrically Bound Systems" Collected Works (Izd. Akad. Nauk SSSR, M., 1948) p. 208, [in Russian]
  37. S. M. Rytov Zh. Eksp. Teo. Fiz. 14 370 (1944)
  38. F. A. Gabarev et al Vibrotekhnika (NO. 2 (59)) 14 (1987)
  39. M. A. Emel'yanov Vibration In Mechanisms And Machines 504 60 (1988), [in Russian]
  40. S. G. Kalashnikov Electricity (Nauka, M., 1977) p. 255, [in Russian]
  41. V. B. Braginski&ibreve; and I. I. Minakova Vestn. Moskovskogo Univ., Ser. “Fizika. Astronomiya” (No. 1) 83 (1964)
  42. V. B. Bragniski&ibreve; Physics Experiments With Test Bodies (Nauka, M., 1970) p. 29, 34, [in Russian]
  43. V. B. Braginski&ibreve; and A. B. Manukin The Measurement Of Small Forces In Physics Experiments (Nauka, M., 1974) p. 29, [in Russian]
  44. V. B. Braginski&ibreve; et al Zh. Eksp. Teo. Fiz. 58 1549 (1970); V. B. Braginski&ibreve; et al Sov. Phys.-JETP 31 829 (1970)
  45. M. M. Karliner, V. E. Shipiro, and I. A. Shekhtman Zh. Tekh. Fiz. 36 2017 (1966); M. M. Karliner, V. E. Shipiro, and I. A. Shekhtman Sov. Phys.-Tech. Phys. 11 1501 (1967)
  46. G. V. Belokopytov Izv. Vyssh. Uchebn. Zaved., Radiofiz. 30 1121 (1987); G. V. Belokopytov Radiophys. And Quantum Electronics 30 (1987)
  47. G. V. Belokopytov, I. V. Ivanov, M. E. Reshetnikov, and V. A. Chistyaev Izv. Akad. Nauk SSSR., Ser. Fiz. 51 2208 (1987); G. V. Belokopytov, I. V. Ivanov, M. E. Reshetnikov, and V. A. Chistyaev Bull. Acad. Sci. USSR, Phys. Ser. 51 ((12)) 121 (1987)
  48. G. V. Belokopytov et al Zh. Tekh. Fiz. 58 1381 (1988); G. V. Belokopytov et al Sov. Phys.-Tech. Phys. 33 821 (1988)
  49. V. E. Shipiro Elasticity Of The Configurations Of Conducting Bodies In Electromagnetic Fields (Krasnoyarsk, 1978); Preprint IFSO-84F, [in Russian]
  50. A. Tondl Rev. Mec. Appl. Ser. B 8 573 (1963)
  51. T. Yamamoto and S. Hayashi Intern. J. Nonlinear Mech. 6 237 (1971)
  52. W. Szemplinska-Stupnicka Intern. J. Nonlinear Mech. 4 335 (1969)
  53. M. I. Kozakov, D. B. Duboshinskii, and D. I. Penner Vladimir Gos. Pedagog. Inst., Uchen. Zapiski, “Fizika” 40 (No. 6) 47 (1972)
  54. B. I. Kryukov, et al Mashinovedenie (No. 6) 30 (1984); B. I. Kryukov, et al Sov. Mach. Sci. (1984)
  55. V. P. Gusev, V. A. Kovanovskaya, L. M. Litvin, and V. V. Rudnev The Investigation And Solution Of Applied Mechanics Problems On Electronic Computers (Nauka, M., 1985) p. 44, [in Russian]
  56. P. S. Landa and V. V. Rudnev The Oscillations And Vibrational Acoustic Activity Of Machines And Structures (Nauka, M., 1986) p. 139, [in Russian]
  57. V. V. Rudnev Mashinovedenie 5 100 (1986); V. V. Rudnev Sov. Mach. Sci. (1986)
  58. N. B. Vinogradova et al The Theory Of Waves (Nauka, M., 1979), [in Russian]
  59. A. S. Vermel' Some Questions Of Exciting Undamped Oscillations (Vladimir Gos. Pedagog. Inst., Vladimir, 1974) p. 159, [in Russian]
  60. D. I. Penner, Ya. B. Duboshinski&ibreve;, D. B. Duboshinski&ibreve;, and V. A. Petrosov Some Questions Of Exciting Undamped Oscillations (Valdimir Gos. Pedagog. Inst., Vladimir, 1974) p. 168, [in Russian]
  61. L. D. Landau and E. M. Lifshitz The Theory Of Elasticity (Nauka, Moscow, 1965), [in Russian]
  62. M. E. Bakman and K. F. Teodorchik Zh. Tekh. Fiz. 6 298 (1936)
  63. M. E. Bakman and K. F. Teodorchik The Physical Encyclopedia Dictionary (Sov. Entsiklopediya, M., 1983) p. 744, [in Russian]
  64. V. I. Babitski&ibreve; and P. S. Landa Dokl. Adad. Nauk SSSR 266 1087 (1982); V. I. Babitski&ibreve; and P. S. Landa Sov. Phys.-Doklady 27 826 (1982)
  65. V. I. Babitski&ibreve; and P. S. Landa The Dynamics Of Systems (Gor'ki&ibreve; Tekh. Univ., Gor'ki&ibreve;, 1983) p. 147, [in Russian]
  66. Yu. I. Nelmark and P. S. Landa Stochastic And Chaotic Oscillations (Nauka, M., 1987) p. 288, [in Russian]
  67. V. I. Babitzky and P. S. Landa Z. Ang. Math. Mech. 64 329 (1984)
  68. V. I. Gaiduk Dokl. Akad. Nauk SSSR 133 760 (1960); V. I. Gaiduk Sov. Phys.-Doklady 5 713 (1961)
  69. V. I. GaTduk Approximate Methods For Solving Differential Equations (Naukova Dumka, Kiev, 1964) p. 33, [in Russian]
  70. F. V. Bunkin et al Zh. Tekh. Fiz. 58 2241 (1988); F. V. Bunkin et al Sov. Phys.-Tech. Phys. 33 1362 (1988)
  71. F. L. Chernous'ko Zh. Vychisl. Mat. Mat. Fiz. 3 131 (1963); F. L. Chernous'ko USSR Comput. Math. Math. Phys. 3 168 (1963)
  72. M. I. Kozakov, Ya. B. Duboshinski&ibreve;, and D. B. Duboshinski&ibreve; An Electromechanical Lowering Regulator [in Russian], Avt. Svidetel'stvo No. 330422, Byull. Izobretenii, No. 8 (1972) p. 146
  73. D. B. Duboshinski&ibreve;, Ya. B. Duboshinski&ibreve;, M. I. Kozakov, et al A Reactive Electric Motor [in Russian], Avt. Svidetel'stvo No. 1138893, Byull. Izobreteni&ibreve;, No. 5 (1985) p. 187
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