Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us
 


IPMech RASWeb hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2021-2pp.171-178

Archive of Issues

Total articles in the database: 4932
In Russian (. . ): 2364
In English (Mech. Solids): 2568

<< Previous article | Volume 56, Issue 2 / 2021 | Next article >>
Zhuravlev V.Ph. and Petrov A.G., "Analysis of the Action of Perturbations of Linear Resonant Systems with Two Degrees of Freedom," Mech. Solids. 56 (2), 171-178 (2021)
Year 2021 Volume 56 Number 2 Pages 171-178
DOI 10.3103/S0025654421020163
Title Analysis of the Action of Perturbations of Linear Resonant Systems with Two Degrees of Freedom
Author(s) Zhuravlev V.Ph. (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, zhurav@ipmnet.ru)
Petrov A.G. (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, petrovipmech@gmail.com)
Abstract A system with two degrees of freedom in the case of a double natural frequency is considered. The unperturbed system consists of two independent oscillators. The system coordinates describe an elliptical trajectory with four orbital elements. An analysis of the action of linear perturbations (forces) on the orbital elements is carried out. Perturbations are subdivided into six types of forces, and for each type of forces a system of differential equations for the orbital elements is obtained. For all six types of forces, a general solution of the system of differential equations in elementary functions is found.
Keywords resonant systems, two degrees of freedom, linear perturbations, evolution of an elliptical trajectory
Received 12 March 2020Revised 14 March 2020Accepted 16 March 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654421020163
<< Previous article | Volume 56, Issue 2 / 2021 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538 mechsol@ipmnet.ru https://mtt.ipmnet.ru
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
webmaster
Rambler's Top100