Applied Mathematics and Mechanics >
A new rope-sheave traction contact force model incorporating complex geometric features developed through parameter identification methods
Received date: 2025-02-22
Revised date: 2025-08-08
Online published: 2025-09-30
Supported by
Project supported by the National Key Research and Development Program of China (No. 2023YFC3010400)
Copyright
The complex geometrical features of mechanical components significantly influence contact interactions and system dynamics. However, directly modeling contact forces on surfaces with intricate geometries presents considerable challenges. This study focuses on the helically twisted wire rope-sheave contact and proposes a contact force model that incorporates complex geometric features through a parameter identification approach. The model’s impact on contact forces and system dynamics is thoroughly investigated. Leveraging a point contact model and an elliptic integral approximation, a loss function is formulated using the finite element (FE) contact model results as the reference data. Geometric parameters are subsequently determined by optimizing this loss function via a genetic algorithm (GA). The findings reveal that the contact stiffness increases with the wire rope pitch length, the radius of principal curvature, and the elliptic eccentricity of the contact zone. The proposed contact force model is integrated into a rigid-flexible coupled dynamics model, developed by the absolute node coordinate formulation, to examine the effects of contact geometry on system dynamics. The results demonstrate that the variations in wire rope geometry alter the contact stiffness, which in turn affects dynamic rope tension through frictional energy dissipation. The enhanced model’s predictions exhibit superior alignment with the experimental data, thereby validating the methodology. This approach provides new insights for deducing the contact geometry from kinetic parameters and monitoring the performance degradation of mechanical components.
Yunting HAN , Hui HU , Haoran SUN , Xi SHI . A new rope-sheave traction contact force model incorporating complex geometric features developed through parameter identification methods[J]. Applied Mathematics and Mechanics, 2025 , 46(10) : 1983 -2006 . DOI: 10.1007/s10483-025-3300-7
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