Application of the rigid finite element method to modelling ropes
- 1 January 2013
- journal article
- Published by FapUNIFESP (SciELO) in Latin American Journal of Solids and Structures
- Vol. 10 (1), 91-99
- https://doi.org/10.1590/s1679-78252013000100009
Abstract
Two-dimensional motion of a rope fixed at one end is considered. The Rigid Finite Element Method (RFEM) is reviewed and applied to obtain a model of the rope, including its elastic and dissipative properties. Equations of motion are derived without the small displacement assumption, using the Lagrange equations. The resulting model is compared to another one, being derived within the framework of standard analytical mechanics methods and the Lagrange formalism. Advantages of the RFE approach are discussed from a computational point of view. The presented, alternative model can be a basis for e cient numerical simulations, which seem to be useful in further, comparative studies of the rope dynamics.Keywords
This publication has 8 references indexed in Scilit:
- A discrete model of a rope with bending stiffness or viscous dampingActa Mechanica Sinica, 2011
- Dynamics of a rope modeled as a discrete system with extensible membersComputational Mechanics, 2009
- Dynamics of a rope as a rigid multibody systemJournal of Mechanics of Materials and Structures, 2008
- Strings, Chains, and RopesSIAM Review, 2006
- Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cablesJournal of Computational Physics, 2005
- Newtonian and canonical analysis of the motion of a rope falling from a tableEuropean Journal of Physics, 2005
- PHYSICAL AND NUMERICAL MODELLING OF THE DYNAMIC BEHAVIOR OF A FLY LINEJournal of Sound and Vibration, 2002
- Shape of a Cracking WhipPhysical Review Letters, 2002