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- W2041046937 abstract "Abstract A mechanical system consists of an unchangeable rigid body (a carrier) and a subsystem whose configuration and composition may vary with time (the motion of its elements relative to the carrier is given). The free motion of the system in a uniform gravitational field is investigated, on the assumption that there is no dynamic symmetry. Necessary and sufficient conditions are derived for the existence of two integrals, each quadratic in the components of the absolute angular velocity of the carrier. Lt is shown that the initial dynamical system can be reduced to an autonomous gyrostat system if and only if the motion has these two quadratic integrals; the explicit form of a linear transformation to the autonomous system is indicated. The explicit form of the integrals and conditions for their existence are obtained. Examples of motion with two quadratic integrals are considered." @default.
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- W2041046937 date "1998-01-01" @default.
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- W2041046937 title "The reducibility of the equations of free motion of a complex mechanical system" @default.
- W2041046937 doi "https://doi.org/10.1016/s0021-8928(98)00091-4" @default.
- W2041046937 hasPublicationYear "1998" @default.
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