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• W1632261102 abstract "Abstract Many objects of modern technology (rockets, spaceships, airplanes, gyroscopic devices, centrifuges, etc.) can be modelled in a number of cases by mechanical systems comprised of absolutely rigid bodies and material points and of deformable (liquid and elastic) bodies connected with them. Mechanical systems containing among its parts both subsystems with a finite number of degrees of freedom as well as units with distributed parameters, i.e. continuous media, are called complex systems for brevity. We consider the steady-state motions of complex systems. Stationary values of the potential energy V or of the altered potential energy W of the system correspond to the steady-state motions. The stability problem for the steady-state motions leads to the investigation of the nature of the extremum of the potential energy V or W . The minimum of the potential energy corresponds to a stable motion. In a number of important cases the stability (instability) conditions can be obtained as conditions for the positive definiteness (for sign-alteration together with certain additional conditions) of the second variation δ 2 V or δ 2 W of the potential energy. These general results are applied to solving a number of concrete problems on the stability of the steady-state motions of complex systems. Stability conditions for the motion of a rigid body with liquid and elastic parts in various force fields are discussed." @default.
• W1632261102 created "2016-06-24" @default.
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• W1632261102 date "1973-01-01" @default.
• W1632261102 modified "2023-09-27" @default.
• W1632261102 title "On the bifurcation and stability of the steady-state motions of complex mechanical systems" @default.
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• W1632261102 doi "https://doi.org/10.1016/0021-8928(73)90080-4" @default.
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