Regular Precession of a Gyrostat in Three Uniform Fields

Mechanics of Solids - Tập 57 - Trang 1873-1884 - 2023
V. Yu. Ol’shanskii1
1Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov, Russia

Tóm tắt

This paper describes all possible cases of regular precession in the motion of a rigid body and gyrostat around a fixed point under the action of three uniform fields. A generalization of the known Yehia conditions is obtained when the precession and proper rotation velocities are equal to each other. A new case of regular precession is found for which the precession velocity is twice the proper rotation velocity, and the precession axis is not orthogonal to the proper rotation axis. The application of the results in the special case where force lines of the three fields are orthogonal to each other, and in the case where the precession axis is collinear to the force lines of one of the fields is considered.

Tài liệu tham khảo

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