Influence of Parameters of Two Pendulums System With an Elastic Element on Regular and Chaotic Vibrations

• Autorzy: Sado D. , Brodowska E. T.
• Języki publikacji: EN

Abstrakty

EN

In this work, a system with two degrees of freedom is studied, consisting of the two coupled pendulums, connected by the element characterized by linear elasticity of rigidity and linear damping. One of the pendulums is subjected to harmonic horizontal excitation. The equations of motion within the studied system are derived as Lagrange’s equations. For small vibrations it was assumed that displacement of the spring element is horizontal only. Exemplary results of the energy transfer, for different parameter values of the system are presented. Numerically, it was indicated that near the internal and external resonance, except different kinds of periodic vibrations, chaotic vibration may also occur. For characterizing an irregular chaotic response, the Poincare maps and maximal exponents of Lyapunov have been constructed.

Słowa kluczowe

EN

energy transfer; coupled oscillators; chaos

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2017
• Tom: Vol. 41, No. 2
• Strony: 85--96
• Opis fizyczny: Bibliogr. 5 poz., schem., wykr.

Twórcy

autor

Sado D.

• Warsaw University of Technology, Institute of Machine Design Fundamentals

autor

Brodowska E. T.

• Warsaw University of Technology, Institute of Machine Design Fundamentals

Bibliografia

• 1. Awrejcewicz, J. (1991). Bifurcation and chaos in coupled oscillators. World Scientific.
• 2. Brodowska, E. T. (2017). Wpływ parametrów układu dwóch wahadeł z elementem sprężystym na drgania regularne i chaotyczne. Praca dyplomowa inżynierska, promotor: prof. D.Sado, Politechnika Warszawska Wydział Samochodów i Maszyn Roboczych, Warszawa.
• 3. Sado, D. (2010). Regular and chaotic vibrations in selected systems with pendulum. Wydawnictwa Naukowo-Techniczne, Warszawa.
• 4. Sado, D., Pietrzakowski, M., and Kęcik, K. (2014). Vibration control of autoparametric system using sma spring and mr dampers in the pendula joins. In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, volume 8. American Society of Mechanical Engineers.
• 5. Szemplińska-Stupnicka, W. (2003). Chaos bifurcations and fractals around us: a brief introduction, volume 47. World Scientific.