Dynamic Analysis of Cable Systems

The method incorporates a discrete parameter representation of cables and utilizes the Method of Imaginary Reactions to evaluate statical behavior and to determine the force-displacement characteristics of the system. The procedures presented make it possible to first evaluate statical system behavior and then to determine either its characteristic or force-motion response to a prescribed loading. Dynamic analysis can be carried out under any condition of loading or system deformation. As the basis of the dynamic method lies in the approach taken to statically analyze and compute the force-deformation characteristics of the structure, any system amenable to static analysis can be subject to dynamic analysis as well. By means of a linear transformation from the physical to a complex coordinate system, the method can accomodate the evaluation of force motion under linearly damped situations. The necessary fundamentals of the method are presented along with an illustrative example explaining its usage.