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Stability Boundary Approximation of Periodic Dynamics

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dc.contributor.authorSeyranian, A. P.
dc.contributor.authorBelyakov, A. O.
dc.date.accessioned2024-11-27T17:21:10Z
dc.date.available2024-11-27T17:21:10Z
dc.date.issued2020
dc.description.abstract© 2020 Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. All rights reserved.We develop here the method for obtaining approximate stability boundaries in the space of parameters for systems with parametric excitation. The monodromy (Floquet) matrix of linearized system is found by averaging method. For system with two degrees of freedom (DOF) we derive general approximate stability conditions. We study domains of stability with the use of fourth order approximations of monodromy matrix on example of inverted position of a pendulum with vertically oscillating pivot. Addition of small damping shifts the stability boundaries upwards, thus resulting in both stabilization and destabilization effects.
dc.format.extentС. 13-23
dc.identifier.citationSeyranian, A. P. Stability Boundary Approximation of Periodic Dynamics / Seyranian, A.P., Belyakov, A.O. // Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019. - 2020. - P. 13-23. - 10.1007/978-3-030-34713-0_2
dc.identifier.doi10.1007/978-3-030-34713-0_2
dc.identifier.urihttps://www.doi.org/10.1007/978-3-030-34713-0_2
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85125642085&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/23246
dc.relation.ispartofNonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019
dc.titleStability Boundary Approximation of Periodic Dynamics
dc.typeConference Paper
dspace.entity.typePublication
relation.isOrgUnitOfPublication06e1796d-4f55-4057-8d7e-bb2f3b5676f5
relation.isOrgUnitOfPublication.latestForDiscovery06e1796d-4f55-4057-8d7e-bb2f3b5676f5
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