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Time-varying mesh characteristics of a spur gear pair

Time-varying mesh stiffness (TVMS) Loaded transmission error (LTE)

Considering the effects of the tip-fillet and

friction between teeth surfaces, an improved analytical

model for time-varying mesh stiffness (TVMS) calcula-

tion is further developed based on our previous works

(Ma et al. in Mech Mach Theory, 98:64–80, 2016)in

which the effects ofextended tooth contact, revised fillet-

foundation stiffness and nonlinear contact stiffness are

taken into account. The proposed model is also verified

by comparing the TVMS with that obtained from finite

element method. Combined effects of the tip-fillet and

friction on the TVMS, loaded transmission error and

loaded sharing factor are discussed. The results show that

TVMS between double- and single-tooth engagements

becomes smooth under the small radii of the tip-fillet,

however, an abrupt change of the TVMS from double-

tooth contact to single-tooth contact can be observed

under the large radii of the tip-fillet