where u(x, t), w(x, t), and v(x, t) denote the axial, transverse in-plane, and transverse out-of-plane
components, respectively, of the total displacements of the cable; uq (x, t), wq (x, t), and vq (x, t)
denote the axial, transverse in-plane, and transverse out-of-plane displacements, respectively, of
the cable due to the support movement; and um(x, t), wm(x, t), and vm(x, t) denote the axial,
transverse in-plane, and transverse out-of-plane displacements, respectively, of the cable due to
cable vibrations with fixed ends.