1. Ratings

\(A\)	area of the straight section of the cable.
\(B\)	deformation matrix.
\({C}_{v}\)	volume heat of the conducting metal.
\(E\)	Young’s modulus under traction.
\({E}_{a}\)	current cable module.
\({E}_{c}\)	modulate to compression.
\({F}_{\mathrm{ext}}\)	external forces given.
\({F}_{\mathrm{iner}}\)	inertial forces.
\({F}_{\text{int}}\)	internal forces.
\(g\)	Green’s measure of the relative elongation compared to the reference situation.
\(h\)	thermal convection coefficient of a cable with the outside.
\(i\)	instantaneous current strength.
\(k\)	coefficient of variation of resistivity with temperature.
\({L}_{i}(\xi )\)	form function relating to node \(i\).
\(\left[L\right]\)	\(\left[{L}_{i}(\xi )1,{L}_{j}(\xi )1\mathrm{...}\right]\)
\(\left[{L}^{\text{'}}\right]\)	\(\left[\frac{{\text{dL}}_{i}}{d\xi }\frac{d\xi }{{\text{ds}}_{o}}1,\frac{{\text{dL}}_{j}}{d\xi }\frac{d\xi }{{\text{ds}}_{o}}1\mathrm{...}\right]\)
\(N\)	cable tension.
\({s}_{o}\)	curvilinear abscissa on the cable in reference situation.
\(T,{T}_{o}\)	temperature in current situation and in reference situation.
\(u({s}_{o},t)\)	displacement vector at time \(t\) with respect to the reference situation.
\(x({s}_{o})\)	position vector in reference situation.
\(\alpha\)	thermal expansion coefficient.
\(\beta ,\gamma\)	Newmark settings.
\(\rho\)	density.
\(\sigma\)	resistivity.
\(1\)	3rd order unit matrix.
\(\left[\frac{\partial }{\partial {s}_{o}}1\right]\)	\(\left[\frac{\partial }{{\text{ds}}_{o}},\frac{\partial }{{\text{ds}}_{o}},\frac{\partial }{{\text{ds}}_{o}}\right]\) diagonal matrix.