Awrejcewicz, JanStarosta, RomanSypniewska-Kamińska, Grażyna2021-12-022021-12-022021Awrejcewicz J., Starosta R., Sypniewska-Kamińska G., Vibration of the system with nonlinear springs connected in series. 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. 239-240, ISBN 978-83-66741-20-1.978-83-66741-20-1http://hdl.handle.net/11652/4119Solution of the problem and qualitative analysis of the forced vibration of the spring pendulum containing nonlinear springs connected in series is made in the paper. The method of multiple scales in time domain (MMS) has been employed in order to carry out the analytical computations. The MMS allows one, among others, to predict the resonances which can appear in the systems. The approximate solution of analytical form has been obtained for vibration at main resonance.enAll rights reservedFair use conditionWszystkie prawa zastrzeżoneDla wszystkich w zakresie dozwolonego użytkuasymptotic analysismultiple scalesdifferential-algebraic systemsprings in seriesanaliza asymptotycznaskale wielokrotnesystem różniczkowo-algebraicznysprężyny szeregoweAbstraktLUT LicenseLicencja PŁLodz University of Technology. Faculty of Mechanical Engineering. Department of Automation, Biomechanics and Mechatronics.Politechnika Łódzka. Wydział Mechaniczny. Katedra Automatyki, Biomechaniki i Mechatroniki.