Finite element simulation of flexible ropes

摘要

The paper deals with examples of solving the equilibrium problem of flexible ropes having significant displacements, which shape is determined by the connections and load. The axis position of the flexible rope is described by the Cartesian coordinate vector. The stress state of the rope is characterized by the force in the rope. At present, the methods of calculating the cable systems are based on a differential formulation. Variational formulations of such problems and the schemes of the finite element method constructed on their basis are proposed. Examples of solution of model problems are given.