Research Article
Dynamic Modeling and Analysis of a Mine Hoisting System with Constant Length and Variable Length
Table 1
The coal mine hoist parameters.
| Parameters | Value |
| 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 c | 0.1 | 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 |
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