Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Method of calculating the bending modes in an inhomogeneous viscoelastic system

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

Literature Cited

  1. 1.

    V. E. Kryutchenko, “Normal transverse vibrations of two rods joined together and to a support by damping elements”, Mashinovedenie, No. 2, 37–42 (1976).

  2. 2.

    V. E. Kryutchenko, “On the fundamental system of solutions of a linear differential equation of the fourth order”, Differents. Uravn., No 11, 1993–1994 (1982).

  3. 3.

    V. B. Kuleshov, G. N. Mikishev, N. D. Pronin, et al., “On the effectiveness of some experimental methods of determining the fundamental dynamical characteristics of elastic structures in the case of close eigenfrequencies”, Issled. Teor. Sooruzh., No. 20, 112–120 (1974).

  4. 4.

    N. N. Luzin, “Study of the matrix theory of differential equations”, Avtomatika Telemekhanika, No. 5, 3–66 (1940).

  5. 5.

    E. Skuchik, Simple and Complex Vibrational Systems [Russian translation], Mir Moscow (1971).

  6. 6.

    E. S. Sorokin, “On the errors of a well-known method of the theory of vibrations of dissipative systems applied to nonuniform damping”, Stroit Mekh. Raschet Sooruzh., No. 2, 29–34 (1984).

  7. 7.

    A. P. Filippov, Vibrations of Deformable Systems [in Russian], Mashinostroenie, Moscow (1970).

  8. 8.

    V. G. Chudnovskii, Method of Calculation of Vibrations and Stability of Rod Systems [in [in Russian], AN USSR, Kiev (1952).

  9. 9.

    H. Fuhrke, “Bestimmung von Balkenschwingungen mit Hilfe des Matrizenkalkyls”, Ing. Arch.,25, No. 5, 329–347 (1955).

  10. 10.

    J. S. Snowdon, Vibration and Shock in Damped Mechanical Systems, Wiley, New York (1968).

Download references

Additional information

Institute of Engineering Mechanics, Academy of Sciences of the Ukrainian SSR, Dnepropetrovsk. Translated from Prikladnaya Mekhanika, Vol. 25, No. 6, pp. 95–100, June, 1989.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kryutchenko, V.E. Method of calculating the bending modes in an inhomogeneous viscoelastic system. Soviet Applied Mechanics 25, 616–621 (1989). https://doi.org/10.1007/BF00887068

Download citation

Keywords

  • Viscoelastic System