Simulation of Multi-body Dynamic Model in Mechanical Vehicle Gearbox

Simulation of Vibration Propagated by Rolling Element Bearings in Mechanical Gearbox

“…The overall defection combines three reflection: the modelling of pedestal, the possibility of a localized faults in one of the races, and the slippage in the rolling elements. The deflection of rolling element bearing can be expressed as [10]: (12) where: -contact deformation (under compress); -the displacement relation of inner race to outer race in 'x' and 'y' direction, -the angular position; c -clearance; j -rolling element j; β j -fault switch; C d -fault depth. The contact force can be calculated using Hertzian theory [10]:…”

“…4. Multi-body dynamic model of mechanical gearbox [12]. The gearbox case and shafts are contacted by bearings that helps to transfer rotational speed in gearbox driveline from low to high frequency.…”

“…The material of bearing SKF 6208 is made from the steel, therefore, the necessary parameters of contact forces for computing are stiffness k = 100000 N/mm, force exponent e = 1.5, damping c = 50 Ns/mm, and penetration depth d = 0.1. The friction force is considered as the Coulomb friction, where static coefficient μ_us= 0.3, dynamic coefficient μ_us= 0.25, stiction transition velocity ν_s = 0.1 and friction transition velocity ν_d = 10 [12]. Vibration parameters, for example, displacement, velocity, and acceleration are considered as nonlinear equations and solved by INTEGRATOR in Adams Solver.…”