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/m^{2})

1.5 × 10^{4}

Cross-sectional area of the hoisting cable S (m^{2})

1.9 × 10^{−3}

Young’s modulus of the hoisting cable E (N/m^{2})

1.01 × 10^{11}

Mass per unit length of the hoisting cable ρ (kg/m)

8.6

Constant length of the constant-length cable l_{c} (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/s^{2})

9.8

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