Traction system of mountainous track carrier mainly includes driving drum

wire rope

and cargo trolley

but the wire rope is the core component. At present

there is no clear spatial mathematical model for the wire rope of mountainous track carrier. To further study the mechanical model and failure behavior of the wire rope

it is necessary to derive the spatial geometric mathematical model and three-dimensional model

so as to avoid large-scale tests to explore the service life and damage rules of the wire rope. The spatial spiral equation of the traction wire rope in the upright and curved state are derived by using differential geometry and the principle of spatial coordinate transformation

and the software of MATLAB and Solidworks are utilized to parameterize design and establish entity array. The results show that the curvature and deflection of the straight section and the bending section of the wire rope are periodically changing. The space spiral equation provides a basis for the establishment of mechanical model of mountainous track carrier wire rope and the study of damage mechanism.