Research Article

Dynamic Modeling and Analysis of a Mine Hoisting System with Constant Length and Variable Length

Table 1

The coal mine hoist parameters.

ParametersValue

Radius of the sheave R (m)2.45
Inertia moment of the sheave J (kg/m2)1.5 × 104
Cross-sectional area of the hoisting cable S (m2)1.9 × 10−3
Young’s modulus of the hoisting cable E (N/m2)1.01 × 1011
Mass per unit length of the hoisting cable ρ (kg/m)8.6
Constant length of the constant-length cable lc (m)80
Friction coefficient between the cable and sheave c0.1
Contact length between the cable and sheave d (m)3.5
Angle of the constant-length cable and the horizontal plane θ (rad)π/6
Gravity acceleration (m/s2)9.8