A single-degree-of-freedom model was used to examine the stability of heave motions of a one-dimensional cable-body system operating in an alternating taut-slack condition. The bilinear model is subjected to periodic sinusoidal excitation. The period-one response is constructed and its stability is determined through computing the eigenvalues of Jacobian matrix of the period-one map. It is shown that the period-one response can lose its stability under certain circumstances, especially when the damping level is low. Numerical simulations were carried out to examine more complex motions. It was demonstrated that the dynamics of the heave motion can undergo a series of period doubling from periodic to chaotic motions.
Stability analysis of the heave motion of marine cable-body systems
Ocean Engineering ; 26 , 6 ; 531-546
1999
16 Seiten, 9 Bilder, 15 Quellen
Article (Journal)
English