Abstract:
The stability of linear mechanical systems with finite numbers of degrees of freedom subjected to potential and non-conservative positional forces is considered. The positive semidefiniteness of the potential energy is assumed. Three new stability criteria which are in a simple way related to the properties of the system matrices are derived. These criteria improve previously obtained results of the same type. Several simple examples are given to illustrate the correctness and applicability of the obtained results.
Keywords:
stability, linear system, potential forces, non-conservative forces.
Citation:
Ranislav M. Bulatovic, “On the Stability of Potential Systems under the Action of Non-conservative Positional Forces”, Regul. Chaotic Dyn., 25:4 (2020), 330–337
\Bibitem{Bul20}
\by Ranislav M. Bulatovic
\paper On the Stability of Potential Systems under the Action of Non-conservative Positional Forces
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 4
\pages 330--337
\mathnet{http://mi.mathnet.ru/rcd1068}
\crossref{https://doi.org/10.1134/S1560354720040024}
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Linking options:
https://www.mathnet.ru/eng/rcd1068
https://www.mathnet.ru/eng/rcd/v25/i4/p330
This publication is cited in the following 5 articles:
Davide Bigoni, Francesco Dal Corso, Oleg N. Kirillov, Diego Misseroni, Giovanni Noselli, Andrea Piccolroaz, “Flutter instability in solids and structures, with a view on biomechanics and metamaterials”, Proc. R. Soc. A., 479:2279 (2023)
Firdaus E. Udwadia, Ranislav M. Bulatovic, “Stability of Multidegree of Freedom Potential Systems to General Infinitesimal Positional Perturbation Forces”, Journal of Applied Mechanics, 89:11 (2022)
Lutz Gröll, Adam Kastner, Tessina H. Scholl, Veit Hagenmeyer, “Some Notes on Two Tests for Stability in Lossy Power Systems”, IFAC-PapersOnLine, 55:40 (2022), 247
R. M. Bulatovic, F. E. Udwadia, “On the stability and instability of linear potential systems subjected to infinitesimal circulatory forces”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 477:2248 (2021), 20200954
Ranislav M. Bulatović, “On the stability and instability criteria for circulatory systems: A review”, Theor. Appl. Mech., 47:2 (2020), 169–179
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