Abstract
The dynamics of cables with concentrated loads is studied using a direct perturbation method (DPM) combined with multiple time scales. A general cable model is assumed to have complex loads, including nonlinear aerodynamic force and concentrated masses. An early developed perturbation method––DPM––is applied to investigate the cable’s motion. This approach does not need to transform the original partial differential equations to ordinary differential equations, and the solution procedure is systematic. Static profile is found and the frequency equation is explicitly derived using linear analysis. The direct perturbation approach is employed to find nonlinear solutions, and governing equations are obtained which can be used to determine the stabilities of the steady-state solutions.
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