Cable Dynamics - A Review

The history of the theory of cable vibrations from the 18th century to the present is reviewed. Basic equations of linear dynamics of an extensible sagging cable are presented. A dynamic stiffness function that can be derived from these equations is given. Limiting transitions lead to other well known results: The static equivalent modulus of elasticity given by Ernst as well as the natural frequencies of motion given by Irvine and Caughey can be inferred from this function. A discussion of dynamic-excitation mechanisms and of dynamic interaction between cables and other structural elements conclude this contribution.