Dynamic stiffness matrix of an inclined cable

The free vibration analysis and a dynamic stiffness matrix for an inclined cable are presented. The cable is assumed to have an elastic catenary profi le, and its chord-wise component of the self-weight and damping are conside red. After linearization of the equations of motion, closed-form solutions of free vibration are derived. Based on the solution of free vibration of a cable with displaceable boundaries, the dynamic stiffness for each degree of freedom is derived by applying each harmonically varying boundary displa cement and the dynamic stiffness matrix is assembled. The dynamic stiffness coefficient derived in this study is compared with other closed-form solut ions. The characteristics of the dynamic stiffness coefficient and the effe cts of damping are investigated. The dynamic stiffness matrix for an inclin ed cable can be usefully applied to the dynamic analysis of cable-supported structures such as cable-stayed bridges or guyed masts. (C) 2001 Elsevier Science Ltd. All rights reserved.