Sypniewska-Kamińska, GrażynaAwrejcewicz, Jan2021-12-022021-12-022021Sypniewska-Kamińska G., Awrejcewicz J., Identification of the model parameters based on the ambiguous branches of resonance response curves. W: DSTA-2021 Conference Books – Abstracts (16th International Conference : Dynamical Systems Theory and Applications DSTA 2021 ABSTRACTS), Awrejcewicz J. (red.), Kaźmierczak M. (red.), Olejnik P. (red.), Mrozowski J. (red.), Wydawnictwo Politechniki Łódzkiej ; Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki, Łódź 2021, s. 258-259, ISBN 978-83-66741-20-1.978-83-66741-20-1http://hdl.handle.net/11652/4120A concept of the method of determining the parameters describing the damping and the nonlinearity, which can be of physical or geometrical nature, is presented in the paper. The main idea is explained regarding mechanical systems with one degree of freedom, however, the method can be also employed to identification for systems with two DoF provided that the couplings are weak and the resonances do not occur simultaneously. The analysis of stationary resonance states can be reduced only then to the third-degree equation, which is a necessary condition for the applicability of this method. Numerical simulations, which are carried out, confirm the usefulness and accuracy of the method.enAll rights reservedFair use conditionWszystkie prawa zastrzeżoneDla wszystkich w zakresie dozwolonego użytkuDuffing’s equationmultiple scales methodmain resonanceresonance response curvesrównanie Duffingametoda wieloskalowarezonans głównykrzywe odpowiedzi rezonansowejAbstractLUT LicenseLicencja PŁPolitechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.Lodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.