Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Jan Kyzioł"'
Autor:
Andrzej Okniński, Jan Kyzioł
Publikováno v:
Differential Equations and Nonlinear Mechanics, Vol 2006 (2006)
Dynamics of two coupled periodically driven oscillators is analyzed via approximate effective equation of motion. The internal motion is separated off exactly and then approximate equation of motion is derived. Perturbation analysis of the effective
Externí odkaz:
https://doaj.org/article/89fc3fa2dc60474fb707a7e9432a5779
Autor:
Jan Kyzioł, Andrzej Okninski
We study the Duffing equation and its generalizations with polynomial nonlinearities. Recently, we have demonstrated that metamorphoses of the amplitude response curves, computed by asymptotic methods in implicit form as $F\left( \Omega ,\ A\right) =
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4aac61068bb1620aadfa949b16180a07
Autor:
Andrzej Okninski, Jan Kyzioł
Dynamics of nonlinear coupled driven oscillators is investigated. Recently, we have demonstrated that the amplitude profiles -- dependence of the amplitude $A$ on frequency $\Omega$ of the driving force, computed by asymptotic methods in implicit for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9f451bc0d2c4e027c317ef390e280dc
Autor:
Jan Kyzioł, Andrzej Okninski
Publikováno v:
International Journal of Non-Linear Mechanics. 95:272-276
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are dete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63e53c91ca43a6bee2357a0444752c0c
https://doi.org/10.1016/j.ijnonlinmec.2017.07.004
https://doi.org/10.1016/j.ijnonlinmec.2017.07.004
Autor:
Jan Kyzioł, Andrzej Okninski
Dynamics of the Duffing--Van der Pol driven oscillator is investigated. Periodic steady-state solutions of the corresponding equation are computed within the Krylov-Bogoliubov-Mitropolsky approach to yield dependence of amplitude $A$ on forcing frequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22d01d16c69d3d4d88005f7c72c9242a
Autor:
Jan Kyzioł, Andrzej Okninski
Publikováno v:
AIP Conference Proceedings.
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are dete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91f027e087bad53f6cb439c31b802e3d
https://doi.org/10.1063/1.5019086
https://doi.org/10.1063/1.5019086
Autor:
Jan Kyzioł
Publikováno v:
International Journal of Non-Linear Mechanics. 76:164-168
We study dynamics of two coupled periodically driven oscillators in general case. Periodic steady-state solutions of the system of two equations are determined within the Krylov–Bogoliubov–Mitropolsky approach. The corresponding amplitude profile
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d03476d61830e4e2682e7f8661719c00
https://doi.org/10.1016/j.ijnonlinmec.2015.06.011
https://doi.org/10.1016/j.ijnonlinmec.2015.06.011
Autor:
Andrzej Okninski, Jan Kyzioł
Publikováno v:
Differential Equations and Dynamical Systems. 21:159-164
We study dynamics of two coupled periodically driven oscillators. Periodic solutions of the approximate effective equation derived in our earlier work are determined within the Krylov–Bogoliubov–Mitropolsky approach used to compute the amplitude
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5908442fcb8fd0eb050c16deaafbec82
https://doi.org/10.1007/s12591-012-0132-8
https://doi.org/10.1007/s12591-012-0132-8
Autor:
Jan Kyzioł, Andrzej Okninski
Publikováno v:
Differential Equations and Nonlinear Mechanics, Vol 2006 (2006)
Differ. Equ. Nonlinear Mech.
Differ. Equ. Nonlinear Mech.
Dynamics of two coupled periodically driven oscillators is analyzed via approximate effective equation of motion. The internal motion is separated off exactly and then approximate equation of motion is derived. Perturbation analysis of the effective
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d29d438c9d76799d08197cb9bedfe687
https://doi.org/10.1155/denm/2006/56146
https://doi.org/10.1155/denm/2006/56146
Autor:
Jan Kyzioł, Andrzej Okninski
Publikováno v:
Journal of Theoretical and Applied Mechanics. :1197
We study dynamics of two coupled periodically driven oscillators in a general case and compare it with two simplified models. Periodic steady-state solutions to these system equations are determined within the Krylov-Bogoliubov-Mitropolsky approach.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0b4a89bc068216fcf5790d5cfc9752e
https://doi.org/10.15632/jtam-pl.54.4.1197
https://doi.org/10.15632/jtam-pl.54.4.1197