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IssuesArchive of Issues2020-8pp.1135-1141

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Kozlov V.V., "Stability of Circulatory Systems under Viscous Friction Forces," Mech. Solids. 55 (8), 1135-1141 (2020)
Year 2020 Volume 55 Number 8 Pages 1135-1141
DOI 10.3103/S0025654420080129
Title Stability of Circulatory Systems under Viscous Friction Forces
Author(s) Kozlov V.V. (Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, 119991 Russia, kozlov@pran.ru)
Abstract 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.
Keywords circulatory forces, virial theorem, invariant subspace, Hamiltonian system
Received 19 June 2020Revised 20 September 2020Accepted 01 October 2020
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