Harmonic Balance Method and Stability of Discontinuous Systems

Kudryashova, E. V.; Kuznetsov, Nikolay; Kuznetsova, O. A.; Leonov, G. A.; Mokaev, Timur

doi:10.1007/978-3-319-90884-7_11

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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

Tekijät

Leonov, G. A. |

Toimittajat

Matveenko, Valerii P. |

Krommer, Michael |

Belyaev, Alexander K. |

Irschik, Hans

Päivämäärä

2019

Oppiaine

Tietotekniikka Mathematical Information Technology

Tekijänoikeudet

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.

Julkaisija

Springer

Emojulkaisun ISBN

978-3-319-90883-0

Kuuluu julkaisuun

Dynamics and Control of Advanced Structures and Machines : Contributions from the 3rd International Workshop, Perm, Russia

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