On some aspects of multiple scale method in problems of nonlinear dynamics

• Autorzy: Awrejcewicz J. , Starosta R. , Sypniewska-Kamińska G.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

Nonlinear vibrations of the two degree-of-freedom system near resonances are studied. The system is externally and kinematically driven. The dynamical problem is solved by an analytical multiple scales method (MS). This analytical approach gives very good results in solving problems of nonlinear dynamics and is more and more popular in last decades. The investigations are focused on correctness of MS method using various number of considered time scales. Namely, we show that in some cases the use of only two time scales is insufficient to detect all possible resonances exhibited by the studied system.

Słowa kluczowe

EN

resonances; asymptotic method; multiple time scale

PL

rezonans; metoda asymptotyczna; skala czasowa

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 53--58
• Opis fizyczny: Bibliogr. 2 poz., rys., wykr.

Twórcy

autor

Awrejcewicz J.

• Łódź University of Technology, Department of Automation and Biomechanics, Stefanowskiego 1/15, 90-924 Łódź, Poland

autor

Starosta R.

• Poznan University of Technology, Institute of Applied Mechanics, ul. Piotrowo 3, 60-965 Poznań, Poland

autor

Sypniewska-Kamińska G.

• Poznan University of Technology, Institute of Applied Mechanics, ul. Piotrowo 3, 60-965 Poznań, Poland

Bibliografia

• 1. Starosta. R., Sypniewska-Kamińska G., Awrejcewicz J., Asymptotic analysis of kinematically excited dynamical systems near resonances, Nonlinear Dynamics, DOI: 10.1007/s11071-011-0229-6; 2011.
• 2. Awrejcewicz J., Krysko V.A., Introduction to Asymptotic Methods, Chapman and Hall, Boca Raton, 2006.