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IssuesArchive of Issues2020-7pp.1021-1029

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Samsonov V.A. and Selyutskiy Yu.D., "On the Influence of Stiffness on the Stability of Equilibrium of a Mechanical System Without Complete Dissipation," Mech. Solids. 55 (7), 1021-1029 (2020)
Year 2020 Volume 55 Number 7 Pages 1021-1029
DOI 10.3103/S0025654420070183
Title On the Influence of Stiffness on the Stability of Equilibrium of a Mechanical System Without Complete Dissipation
Author(s) Samsonov V.A. (Institute of Mechanics, Moscow State University, Moscow, Russia, samson@imec.msu.ru)
Selyutskiy Yu.D. (Institute of Mechanics, Moscow State University, Moscow, Russia, seliutski@imec.msu.ru)
Abstract A linear mechanical system is considered in which there is no complete dissipation (in particular, there is antidissipation for some of the variables). The effect of the stiffness added in one of the generalized coordinates on the stability of equilibrium is studied. It is shown that, in particular, such additional stiffness may lead to a loss of stability. As an example, the stability of a trivial equilibrium position of a double aerodynamic pendulum with a spiral spring installed on the first link is analyzed.
Keywords stability, nonconservative forces, dissipation, aerodynamic pendulum
Received 11 December 2018Revised 26 April 2019Accepted 06 June 2019
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