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Information × Registration Number 0213U000712, 0112U003346 , R & D reports Title Nonlinear dynamics of the mechanical systems of complex structure. popup.stage_title Head Kovalev Alexander Mikhailovich, Registration Date 12-03-2013 Organization Institute of Applied Mathematics and Mechanics of National Academy of Sciences of Ukraine popup.description2 The instability problem in dynamic system theory is investigated: applicability of the Lyapunov theorems for partial stability analysis is discussed; the question of unstable coordinates separation is studied. An analogy between the problem of nonautonomous gyrostat motion and the motion problem for a body with fluid-filled cavities is stated. The new gyrostat structure is described in the case when the mass distribution of attached bodies satisfies the Hess conditions. Various forms of generalization of the Hess particular solution are proposed. The existence conditions for invariant relations of the motion equations are studied under the assumptions that the gyrostatic momentum direction is fixed in the rotating frame and the center of inertia belongs to one of the principal planes. The equivalents of the classical Kharlamova and Steklov solutions are obtained. Product Description popup.authors Волкова Ольга Сергіївна Гашененко Ігор Миколайович Ковальов Олександр Михайлович popup.nrat_date 2020-04-02 Close