Dynamic Behavior of Nonlinear Cable System. II

Abstract

Results of a bifurcation analysis of a geometrically nonlinear cable truss are reported. Additive antisymmetric harmonic excitation and parametric symmetric harmonic excitation are used. For antisymmetric excitation, responses have significant odd superharmonic components over a broad frequency range. Odd superharmonic components become resonant at excitation frequencies much smaller than those that cause the fundamental resonance. Therefore such superharmonic components may be important for wind design of nonlinear cable systems. There are regions of multiple steady‐state responses. The frequency range over which they occur is affected by the coupling between coordinates. Bifurcations to a torus do occur, but the resultant motions do not seem to have marked increases in maximum responses. No period‐doubling bifurcations are observed for the parameter space studied. For reasonable magnitudes of symmetric harmonic excitation, it is very probable that the only steady‐state response will be a stable equilibrium.