27 Theoretical Analysis of Sliding Friction Contact between Friction Lining and Wire Rope

Aiming at the serious accident caused by the sliding between friction lining and wire rope, the problem of sliding friction contact between them was investigated. Considering the helical structure, the sliding friction contact characteristics between friction lining and wire rope was analyzed. Furthermore, the mechanical model of sliding contact was established on the basis of the theory of elasticity. And the complex function associated with the Cauchy integral was introduced. Then, by applying the integral theorem of Riemann-Hilbert, the analytic solution of the normal stress in the contact zone was obtained.