Abstract
The aim of this study was to develop an efficient and realistic numerical model in order to predict the dynamic response of the friction winder system. The absolute nodal coordinate formulation is an ideal approach for the modelling of friction winder systems. In this study, the rope was modelled as a planar beam element based on an absolute nodal coordinate formulation. The rope element allows the user to control the axial and bending stiffness through the use of two parameters. In this study, the interaction between the rope and the rotating drum is modelled using an elastic approach in which the contact is accounted for by the inclusion of a set of external forces that depend on the penetration between the rope and rotating drum. This made it possible for us to accurately predict the contact forces, including the stick and slip zones between the rope and the drum. Finally, the applicability of the friction winder model was presented and discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bechtel, S.E., Vohra, S., Jacob, K.I.: The stretching and slipping of belts and fibers on pulleys. Journal of Applied Mechanics 67, 197–206 (2000)
Dufva, K., Kerkkanen, K.S., Maqueda, L.G., Shabana, A.A.: Nonlinear dynamics of three-dimensional belt drives using the finite-element method. Nonlinear Dynamics 48, 449–466 (2007)
Dufva, K., Sopanen, J.: A two-dimensional shear deformable beam element based on the absolute nodalcoordinate formulation. Journal of Sound and Vibration 280, 719–738 (2005)
Fawcett, J.N.: Chain and belt drives. The Shock and Vibration Digest 13, 5–12 (1981)
Gerstmayr, J., Schoberl, J.: An implicit Runge-Kutta based solver for 3-dimensional multibody Systems. PAMM 3(1), 154–155 (2003)
Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)
Kerkkanen, K.S., Vallejo, D.G., Mikkola, A.M.: Modeling of belt-drives using a large deformation finite element formulation. Nonlinear Dynamics 43, 239–256 (2006)
Leamy, M.J., Wasfy, T.M.: Transient and steady-state dynamic finite element modeling of belt-drives. Dyn. Syst. Meas. Control 124, 575–581 (2002)
Leamy, M.J., Wasfy, T.M.: Effect of bending stiffness on the dynamic and steady-state responses of belt-drives. In: ASME 2002 Design Engineering Technical Conferences (2002)
Omar, M.A., Shabana, A.A.: A two-dimensional shear deformation beam for large rotation and deformation. Journal of Sound and Vibration 243(3), 565–576 (2001)
Shabana, A.A.: Dynamics of Multibody Systems, 3rd edn. Cambridge University Press, Cambridge (2005)
Shabana, A.A.: Computer implementation of the absolute nodal coordinate formulation for flexible multibody dynamics. Nonlinear Dynamics 16, 293–306 (1998)
Shabana, A.A., Huss, H.: Application of the absolute nodal coordinate formulation to large rotation and large deformation problems. ASME Journal of Mechanical Desig 120, 188–195 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yi, L., Ji-Shun, L., Guo-Ding, C., Yu-Jun, X., Ming-De, D. (2010). Multibody Dynamics Modeling of Friction Winder Systems Using Absolute Nodal Coordination Formulation. In: Huang, G.Q., Mak, K.L., Maropoulos, P.G. (eds) Proceedings of the 6th CIRP-Sponsored International Conference on Digital Enterprise Technology. Advances in Intelligent and Soft Computing, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10430-5_41
Download citation
DOI: https://doi.org/10.1007/978-3-642-10430-5_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10429-9
Online ISBN: 978-3-642-10430-5
eBook Packages: EngineeringEngineering (R0)