Gogoleva N. New exact solutions of the problem of the inertial motion of two Lagrange gyroscopes connected by the nonholonomic hinge

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U004700

Thesis Registration Form

0413U004700.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

02-07-2013

Specialized Academic Board

Д 11.193.01

Essay

For new particular solutions of the above problem have been obtained. For any solution of the given problem with a non-zero constant, of the angular momentum of the system, an algorithm for plotting of the axoids bodies has been specified. Using this algorithm for each body of the system, equations of axoids have been specified to provide two solutions of the problem under study. The research considers the case when the trajectory of the intersection point of dynamic symmetry axes is represented by a planar curve. In the natural basis, equations of axoids for each body of the system are written.

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