Research on dynamic characteristics of large deformation shearer cable based on absolute node coordinate formulation method

Abstract

The development of intelligent and unmanned coal mining has put forward higher requirements on the service life and dynamic reliability of shearer cables. However, it is difficult to comprehensively consider the complexity of hosting conditions of coal mining working face and the dynamic characteristics of cables in different towing systems in the design and development of cables. The cables are periodized by pitch and have the same cross-sectional structure and properties. Based on the homogenization theory and volume average principle, the cable was assumed to be an orthotropic elastomer, and the tensile experimental method and finite element method were combined to calibrate the cable equivalent mechanical parameters. Based on the Absolute Node Coordinate Formulation (ANCF) method, the rigid-flexible coupled virtual prototype co-simulation model of shearer cable towing system was constructed to obtain the kinetic and kinematic parameters of each node of the cable and study the dynamic gradual change characteristics of the cable in different working areas. This research method has an important theoretical significance and engineering application value for the acquisition of dynamic characteristic parameters of shearer cables and the optimal design and dynamic reliability of cables.

Research on parameterized modeling and mechanical characteristics of shearer cables

“…Fig 4B illustrates between-layer tangency, where R z represents the radius of the strand at the inter-layer tangency, and Z(x, y) is a point on the ellipse of the upper layer monofilament satisfying the elliptic equation. During inter-layer tangency, the distance OZ from the point Z on the ellipse of the upper layer to the center of the upper stranding attains its maximum value, expressed by Eq (7). The stranding radius R z can be defined as the sum of the monofilament radius r x and the maximum value of OZ, serving as the criterion for determining inter-layer tangency, as shown in Eq (8).…”

“…The cable structure was simplified without copper shielding layers, and the simplified motor model was simulated in the magnetic field environment in Comsol software. Zhao et al [ 7 ] took the strand as the smallest analytical unit, established the cylindrical coordinate equation for the first-level helical centerline in cabling, utilized the trajpar function to dimensionally drive the cross-section, and generated a second-level helical stranded structure perpendicular to the first-level helical centerline. Bai [ 8 ] derived equations for the centerline coordinates (x, y, z) of the power conductor with respect to the parameter t. The formula for the scanning section size was expressed by the pitch, and changing the phase difference generated the centerlines of the other two power conductors.…”