# 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 $$D_R$$.