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Vol 36 Iss. 3
Pages:
106-111
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RUS
Article

Some questions of solid body dynamics and their application to the theory of crushers

Authors:
Yu. I. Severov
Date submitted:
1957-09-08
Date accepted:
1957-11-26
Date published:
1958-03-07

Abstract

In this paper we consider the motion of a system consisting of three solid bodies rotating around a fixed point and having a common axis of self-rotation.The chosen system gives a schematic diagram of the working part of a crusher of the Mekhanobr type.Differential equations of motion of a solid body rotating around a fixed point were derived for the first time, as is known, by L. Euler, who also pointed out one of the cases when the solution under any initial conditions is reduced to quadrature. Further fundamental results in this matter were obtained by Lagrange, S. V. Kovalevskaya, A. M. Lyapunov and others.

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References

  1. Krylov A. N. and Krutkov Yu. A. General theory of gyroscopes and some technical applications. PH of the AS USSR, 1932.
  2. Bulgakov B. V. Applied theory of gyroscopes. GITTL, 1955.
  3. Kudrevich B. I. Theory and Practice of Gyroscopic Compass. PH Gidrogr. dir., pt. II-III, 1931, 1933.
  4. Okunev B. N. Free motion of a gyroscope. GITTL, 1951.
  5. Klein F. and Sommerfeld A. On the theory of the gyroscope. Iss.s 1, 2, 3, 4, Leipzig, 1910, 1914, 1918, 1922.
  6. Ferri E. S. Applied gyrodynamics, ONTI, 1936.
  7. Grammel R. The gyroscope, its theory and applications. V. I, 11, IL, 1952.
  8. Blekhman I. I. Dynamics of a gyroscopic crusher of the system of D. K. Cherkasov. Manuscript. Funds of the Mekhanobr Institute, 1952 (report No. 6317).

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