Аннотация:The article deals with the problem of obtaining new solutions of a system of linear contact equations for a spiral rope of the "Varrington" type, which did not require the use of the approximation method. The high complexity of the method under consideration substantially limits its use and requires the use of special software [1, 2]. The question of convergence of the iterative process in the course of computations also usually arises. The main idea is based on the representation of the initial dependencies in the form of series and the subsequent solution of the equations obtained. The proposed procedure can be easily adapted to calculate the geometry of spiral ropes and locks of various types: "Forces", "Varrington-forces" and several others [3,4].
