Nonlinear oscillations of a nonresonant cable under in-plane excitation with a longitudinal control (Q1372525)

The authors investigate the nonlinear oscillations of a controlled suspended elastic cable under in-plane exicitation. Active control realized by longitudinal displacement of one support is introduced in order to reduce the transverse in-plane and out-of-plane vibrations. Linear and quadratic enhanced velocity feedback control laws are chosen and their effects on the cable motion are examined by using a two-degree-of-freedom model. Perturbation analysis is performed to determine the in-plane steady-state solutions and their stability under an out-of-plane disturbance.