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STABILITY, BIFURCATIONS AND CATASTROPHE OF STEADY ROTATION OF SYMMETRIC GYROSCOPE WITH VISCOUS-LIQUID-FILLED CAVITY ON PLANE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(5): 615-622. DOI: 10.6052/0459-1879-1993-5-1995-684
Citation: STABILITY, BIFURCATIONS AND CATASTROPHE OF STEADY ROTATION OF SYMMETRIC GYROSCOPE WITH VISCOUS-LIQUID-FILLED CAVITY ON PLANE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(5): 615-622. DOI: 10.6052/0459-1879-1993-5-1995-684
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STABILITY, BIFURCATIONS AND CATASTROPHE OF STEADY ROTATION OF SYMMETRIC GYROSCOPE WITH VISCOUS-LIQUID-FILLED CAVITY ON PLANE

  • 中国科学院力学研究所非线性连续介质力学开放研究实验室

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  • The number, the angles of orientation and the stability in Rumyantsev-Movchan's sense of steady rotations of a symmetric gyroscope with a cavity completely filled with a uniform viscous liquid on a plane are given for various values of the parameters. By taking the square of the upright component of the angular momentum M2 as a control parameter, three types of bifurcation diagrams of the steady rotation with two types of jumps are obtained. By taking account of the M2-damping owing to the moment of unavoid...
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