Approximation of the static elastic line of the carrying rope in the traction calculation of single-span mobile ropeways

During the operation of cargo and passenger aerial ropeways, carrying-traction ropes are subject to natural sagging under the influence of their own weight, transported cargo or passenger cabins, wind and temperature effects. The ability to model the geometric shape of a rope, taking into account the conditions and operating modes of ropeways, is necessary when designing and modeling work processes in the rope system, optimizing the design and characteristics of the drive and tension mechanisms. This article presents a method for determining the analytical dependence approximating the configuration of the static elastic line of the carrying-traction rope, in relation to the problem of trac-tion calculation of single-channel single-span mobile ropeways. The peculiarity of the proposed approach is to take into account the inequality of the tension forces of the carrying-traction rope at the ends of the span, which makes it possible to more adequately reflect the real situation.