An analysis of interwire slippage in an axially loaded cable with finite friction is presented. It is shown that during the elongation the slippage starts in the middle of the cable and propagates towards the terminals. Explicit expression for the losses during one cycle of deformation are derived. It is shown that these losses depend on the parameters of the cable as well as on the magnitude of the load. For a cable modeled as an equivalent linear visco-elastic element, the equivalent elastic and viscous parameters are given as functions of cable parameters.
Cables are commonly used tension members in modern light and flexible structures, and in many applications it is important to know their dynamic properties. A conventional way to account the energy losses in cables is to assume a constant coefficient for viscous damping. However, many experimental studies have shown that losses in cables are mainly amplitude-dependent (Yu,1952; Claren and Diana, 1969; Vinogradov and Pivovarov, 1986). An attempt to explain structural losses in a bent cable was made by Vinogradov and Atatekin (1986). They proposed a theoretical model of the interwire Slip caused by the twisting of the wire and found the corresponding cyclic losses. The problem of hysteretic losses in a tension cable was considered by Hobbs and Raoof (1982), who represented a cable as an equivalent mutilayer continuum and predicted the losses resulting from the slip inside each of these cylindrical layers. The possibility of microslip in cable was also considered by Utting and Jones (1989) who used in their study of tension cables. Recently, Vinogradov and Huang (1991) developed a new model of an axially deformed cable, which shows that twisting and bending deformation of wires is the cause of microslip and the corresponding friction losses.