Submit an Article
Become a reviewer
Vol 36 Iss. 3
Pages:
106-111
Download volume:
RUS
Article

Some problems of rigid 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 rigid bodies rotating around a fixed point and having a common axis of own 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 rigid 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.

Область исследования:
(Archived) Without section
Funding:

None

Go to volume 36

References

  1. Krylov A. N. and Krutkov Yu. A. General theory of gyroscopes and some technical applications. Izd. AN SSSR, 1932. (in Russian)
  2. Bulgakov B. V. Applied theory of gyroscopes. GITTL, 1955. (in Russian)
  3. Kudrevich B. I. Theory and Practice of Gyroscopic Compass. Izd. Gidrogr. upr., pt. II‑III, 1931, 1933. (in Russian)
  4. Okunev B. N. Free motion of a gyroscope. GITTL, 1951. (in Russian)
  5. Klein F. und Sommerfeld A. Uber die Theorie des Kreisels. Hefte 1, 2, 3, 4, Leipzig, 1910, 1914, 1918, 1922.
  6. Ferri E. S. Applied gyrodynamics. ONTI, 1936. (in Russian)
  7. Grammel R. The gyroscope, its theory and applications. V. I, 11, IL, 1952. (in Russian)
  8. Blekhman I. I. Dynamics of a gyroscopic crusher of the system of D. K. Cherkasov. Manuscript. Fondy instituta Mekhanobr, 1952 (report No. 6317). (in Russian)

Similar articles

Motion of suspended particles in gas flow
1958 R. I. Shkadov
X-ray study of distortions of the crystal lattice of asbestos fibers
1958 E. O. Shvaikovskaya
Conditions of brittle strength of isotropic materials
1958 I. I. Tarasenko, E. N. Tarasenko
Stress and deformations in the corrugation of a semi-rigid coupling during bending
1958 L. S. Burshtein
Experimental study of the constrained motion of a ball along the axis of a cylindrical tube
1958 R. B. Rozenbaum
Conjugate projections
1958 P. V. Filippov