Stability of rotation of a vane in a flow. (English) Zbl 1151.70306

J. Math. Sci., New York 146, No. 3, 5846-5862 (2007); translation from Fundam. Prikl. Mat. 11, No. 7, 73-95 (2005).
Summary: The results of investigation of the stability of permanent rotation of a four-blade vane on a weightless rod in the flow of a homogeneous medium are discussed. The rod rotates about a fixed point where a spherical joint is situated. The vane rotates about the second joint fixed at the other end of the rod. The stability of permanent rotation of the vane is studied when the rod coincides with the dynamic symmetry axis of the vane. The results are compared with the one-joint case. It is shown that increasing the number of degrees of freedom leads to “diminishing” the stability domain projection onto the corresponding subspace of parameters.


70E05 Motion of the gyroscope
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