A. Cardona, 3-DIMENSIONAL GEARS MODELING IN MULTIBODY SYSTEMS-ANALYSIS, International journal for numerical methods in engineering, 40(2), 1997, pp. 357-381
We present a formulation for describing gear pairs in the three-dimens
ional analysis of flexible mechanisms. The set of holonomic and non-ho
lonomic constraint equations that defines the behaviour of gears is de
veloped. The formulation is capable of representing almost any kind of
gears used in industry: spur gears, bevel gears, hypoid gears, etc. A
ll reaction forces due to gear engagement are accounted for. Coulomb f
riction forces due to relative sliding motion are also considered. Gea
r trains and planetary systems can be easily modelled by superposing s
everal gear pairs in the same system.