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Stability of circulatory systems under viscous friction forces. (English. Russian original) Zbl 1465.70064
Mech. Solids 55, No. 8, 1135-1141 (2020); translation from Prikl. Mat. Mekh. 84, No. 6, 677-686 (2020).
Summary: The problem on the spectrum structure of motion equations in a mechanical system linearized near equilibrium in a nonpotential force field is considered. Particular attention is paid to the case when the force field is circulatory and there are also viscous friction forces acting on the system. The stability problem solution is based on the search of invariant subspaces that are uniquely projected onto the configuration space of the system.

MSC:
70J25 Stability for problems in linear vibration theory
70H14 Stability problems for problems in Hamiltonian and Lagrangian mechanics
70E18 Motion of a rigid body in contact with a solid surface
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