Harmonic Balance Method and Stability of Discontinuous Systems
Kudryashova, E. V., Kuznetsov, N., Kuznetsova, O. A., Leonov, G. A., & Mokaev, T. (2019). Harmonic Balance Method and Stability of Discontinuous Systems. In V. P. Matveenko, M. Krommer, A. K. Belyaev, & H. Irschik (Eds.), Dynamics and Control of Advanced Structures and Machines : Contributions from the 3rd International Workshop, Perm, Russia (pp. 99-107). Springer. https://doi.org/10.1007/978-3-319-90884-7_11
Date
2019Copyright
© Springer Nature Switzerland AG 2019
The development of the theory of discontinuous dynamical systems and
differential inclusions was not only due to research in the field of abstract mathematics but also a result of studies of particular problems in mechanics. One of first
methods, used for the analysis of dynamics in discontinuous mechanical systems,
was the harmonic balance method developed in the thirties of the 20th century. In
our work the results of analysis obtained by the method of harmonic balance, which
is an approximate method, are compared with the results obtained by rigorous mathematical methods and numerical simulation.
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978-3-319-90883-0Is part of publication
Dynamics and Control of Advanced Structures and Machines : Contributions from the 3rd International Workshop, Perm, RussiaKeywords
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