Abstract
It is known that out-of-plane vibrations of suspended cables are observed under inplane forcing. This fact is caused by the geometrical nonlinearity of cables, Single-degree-of-freedom approach for this problem was used in the preceding work. In the present work, out-of-plane vibrations of cables are studied by using multiple-degree-of-freedom approach because cables are continuous system. Nonlinear inplane responses and corresponding out-of-plane vibrations are analyzed by the harmonic balance method, Unstable regions where out-of-plane vibrations occur are obtained, The results of numerical examples show that unstable regions of out-of-plane vibrations whose modal shapes are similar to those of inplane modal shapes are wide and that simple parametric resonances are signficant compared with combination resonances.
