... introduced to describe the cable. As shown in Figure 1, the shape functions in the natural coordinate system are given by 1(1_~2 ~2 _1 1 2 N 1 = 89 - ~- ) , N 2 = 1- ' N3 -2 (1 + ~ )- ... respect to ~. After substituting Eqns. 7 to 9 into Eqn. 2, integrating Eqn. 2 by parts, and considering the static equilibrium equation in the initial state, the governing motion equation for the ... equilibrium in the x-, y- and z-directions respectively. Let U = {u(s, t) v(s, t) w(s, t)} r and P = {px(s, t) p~(s, 0 pz(s, O} T. By using the Lagrangian strain measure, the extensional strain in...