Research Article

Nonlinear Dynamic Behavior of Winding Hoisting Rope under Head Sheave Axial Wobbles

Table 1

Winding hoist parameters.

ParametersValue

Head sheave radius Rs (m)2.5
Head sheave moment of inertia Js (kg/m2)
Rope effective cross-sectional area A (m2)
Rope effective Young’s modulus E (N/m2)
Rope linear density ρ (kg/m)
Vertical rope maximum depth L0 (m)1580
Catenary rope constant length lc (m)80
Total hoisting times t (s)120
Friction coefficient between hoisting rope and head sheave cs0.5
Contact extent between hoisting rope and head sheave ls (m)3.9
Angle between catenary rope and horizontal plane θ (rad)
Hoisted mass per rope mp (kg)
Gravity acceleration (m/s2)9.8
Roller guide spring stiffness k (N·m)
Roller guide damping c (N·s/m)