Dynamics of Mechanical Sliding System with Dry Friction

• Autorzy: Grzelczyk D. , Awrejcewicz J. , Kudra G.
• Języki publikacji: EN

Abstrakty

EN

In the paper we consider a four degree of freedom model of a mechanical system with dry friction, which can explain non-regular vibrations of mechanical sliding system. Stick-slip vibrations are studied for the case, where body is riding on a driving belt as a foundation that moves at a constant velocity. From a mathematical point of view, the analyzed problem is governed by a set of nonlinear ordinary second order differential equations of motion, obtained using the Lagrangian method. Numerical analysis is carried out with the qualitative and quantitative theories of nonlinear differential equations reduced to the non-dimensional form. The behavior of the mentioned system is monitored via standard phase portraits, bifurcation diagram as well as Lyapunov exponents. Some interesting numerical results (periodic, quasi-periodic, chaotic and hyper-chaotic orbits) are obtained and reported in the paper.

Słowa kluczowe

EN

friction; non-regular vibrations; chaos; hyperchaos

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Research
• Rocznik: 2014
• Tom: Vol. 38, No. 3
• Strony: 61--70
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Grzelczyk D.

• Department of Automation, Biomechanics and Mechatronics Lodz University of Technology

autor

Awrejcewicz J.

• Department of Automation, Biomechanics and Mechatronics Lodz University of Technology

autor

Kudra G.

• Department of Automation, Biomechanics and Mechatronics Lodz University of Technology

Bibliografia

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