Dynamic cable (FEA)

Dynamic cables are based on Finite Element Analysis (FEA) elements : thin cylindrical beams with two nodes and Euler-Bernoulli formulation. The section and material properties are assumed constant along the beam. Stretch, torsion and flexion are included, while shear is not considered in Euler-Bernoulli theory.


Fig. 14 Thin beams with two nodes and Euler-Bernoulli theory

The properties of the section of the beam are defined using the following parameters :

  • radius \(r\), in m
  • area \(A\), in m²;
  • linear density \(q\), in kg/m;
  • Young modulus \(E\), in Pa;
  • area moment of inertia \(I_{rr}\), in kg.m² ;
  • shear modulus \(G\) (for torsional effects);
  • torsion constant \(J\);
  • Rayleigh damping \(D_R\).

For more information about the theory, refer to [TASORA].


[TASORA]Tasora, 2016, Euler-Bernoulli corotational beams in Chrono::Engine, http://www.projectchrono.org/assets/white_papers/FEA/euler_beams.pdf