Skip to main content
Log in

Parametric instability of transverse vibrations of a filament whose parameters vary according to a traveling wave law

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. V. V. Bolotin, Dynamic Stability of Elastic Systems [in Russian], Gostekhizdat (1967).

  2. H. Schmidt, Parametric Vibrations [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  3. A. I. Vesnitskii, S. V. Krysov, and A. I. Potapov, “Experimental investigation of parametric excitation of impulsive vibrations in one-dimensional mechanical systems,” Prikl. Mekh.,16, No. 12 (1980).

  4. V. A. Svetlitskii, Transmissions with Flexible Coupling [in Russian], Mashinostroenie, Moscow (1967).

    Google Scholar 

  5. S. I. Averkov and L. A. Ostrovskii, “Vibration propagation in systems with time-dependent parameters,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,1, No. 4 (1958).

  6. L. I. Mandel'shtam, Lectures on Vibration Theory [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  7. S. I. Averkov and N. S. Stepanov, “Wave propagation in systems with a traveling parameter,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,2, No. 2 (1959).

  8. Yu. M. Sorokin and N. S. Stepanov, “Application of variational methods to the investigation of wave propagation in systems with traveling parameters,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1972).

  9. A. I. Vesnitski and A. I. Potapov, “On some general properties of wave processes in one-dimensional mechanical systems of variable length,” Prikl. Mekh.,2, No. 4 (1975).

  10. A. I. Vesnitskii, S. V. Krysov, and A. I. Potapov, “Instability of torsion waves in rods with moving fasteners,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6 (1978).

  11. A. I. Vesnitskii and S. V. Krysov, “Pulse generation in distributed systems with moving boundaries,” Pis'ma Zh. Tekh. Fiz.,3, No. 19 (1977).

  12. A. I. Vesnitskii, L. A. Ostrovskii, et al., “Pulse parametric generation in distributed systems,” Pis'ma Zh. éksp. Teor. Fiz., No. 5 (1969).

  13. G. S. Pisarenko, A. P. Yakovlev, and V. V. Matveev, Handbook on Strength of Materials [in Russian], Naukova Dumka, Kiev (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 163–169, May–June, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vesnitskii, A.I., Lyakhov, A.F. Parametric instability of transverse vibrations of a filament whose parameters vary according to a traveling wave law. J Appl Mech Tech Phys 23, 457–464 (1982). https://doi.org/10.1007/BF00910093

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00910093

Keywords

Navigation