Modelling of a rope: two discrete approaches

• Autorzy: Kamiński H. , Fritzkowski P.
• Konferencja: Jubilee Symposium Vibrations In Physical Systems (25 ; 15-19.05.2012 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

Plane motion of a rope is considered. Two approaches to rope modelling are presented: the one based on classical concepts of analytical mechanics and the rigid finite element method. In both cases equations of motion are derived within the framework of the Lagrangian formalism, without the small displacement assumption. In a numerical experiment parameters matching of the two models is attempted, which cannot be performed in a straightforward manner. The rigid finite element method allows to consider the internal forces related to tension, shearing and bending, whereas the other approach, based strictly on rigid body mechanics, is much simpler.

Słowa kluczowe

EN

discrete model; ropes; numerical simulation; rigid finite element method

PL

model dyskretny; liny; symulacja numeryczna; metoda sztywnych elementów skończonych

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2012
• Tom: Vol. 25
• Strony: 211--216
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Kamiński H.

• Institute of Applied Mechanics, Poznan University of Technology, 24 Jana Pawła II Str., 60-965 Poznań, Poland

autor

Fritzkowski P.

• Institute of Applied Mechanics, Poznan University of Technology, 24 Jana Pawła II Str., 60-965 Poznań, Poland

Bibliografia

• 1. P. Fritzkowski, H. Kamiński, Dynamics of a rope as a rigid 1. multibody system, J. Mech. Mater. Struct., 3 ( 2008 ) 1059-1075.
• 2. P. Fritzkowski, H. Kamiński, A discrete model of a rope with bending stiffness or viscous damping, Acta Mech. Sin., 27 ( 2011 ) 108-113.
• 3. H. Kamiński, P. Fritzkowski, Application of the rigid finite element method to modelling of a rope, Proceedings of the 11th Conference on Dynamical Systems – Theory and Applications, Dynamical Systems: Nonlinear Dynamics and Control, 435-440, Łódź 2011.
• 4. J. Kruszewski, S. Sawiak, E. Wittbrodt, The rigid finite element method in dynamics of structures [in Polish], WNT, Warsaw 1999.
• 5. E. Wittbrodt, I. Adamiec-Wójcik, S. Wojciech, Dynamics of flexible multibody systems: rigid finite element method, Springer-Verlag, Berlin 2006.