A measure, M, of the conformity or closeness of fit of gears is proposed and it is shown that there is a limit on its value; this limit is a function of the material properties and is about 2.5 times the value for involutes for gears of case hardened steel.
It is shown that no very large improvement in M can be had above that obtainable in known non-involute forms, specifically Wildhaber-Novikov gears.
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References
1.
HarrisS. L.‘Dynamic loads on the teeth of spur gears’, Proc. Instn mech. Engrs1958172, 87.
2.
DaviesW. J.‘Performance and reliability of high-duty spur and helical gearing for aircraft’, Proc. Instn mech. Engrs1958, Int. Conf. on Gearing, Paper 16.
3.
TimoshenkoS.LessellsJ. M.Theory of elasticity1925, 21 (Pittsburgh).
4.
MunroR. G.SeagerD. L.‘Tooth loading in the I.A.E. gear rig’, 1964, Institute of Petroleum Symposium on Gear Lubrication, Brighton.
5.
HookeR.Animadversions on the first part of the Machina Coelestis of the Honourable, Learned and deservedly famous Astronomer Johannes Hevelius, Consul of Dantzick, 1674.
IyoiH.TogashiS.‘Theory of modified circular arc tooth profiles of rotors of gears’, Proc. J.S.M.E.1963102, 11.
11.
FedyakinR. V.ChesnokovV. A.‘Design of toothed gears of M. L. Novikov’, Vestnik Mashinostroyeniya5, 12.
12.
AllanT.‘Some aspects of the design and performance of Wildhaber-Novikov gearing’, Proc. Instn mech. Engrs1965179, 931.
13.
TuplinW. A.Gear load capacity1961, 18 (London).
14.
MerrittH. E.‘Gear tooth stresses and rating formulae’, Proc. Instn mech. Engrs1952166, 196.
15.
NiemannG.RettigH.LechnerG.‘Tragfàhigkeits-steigerung bei Zahnradgetrieben Heutige Möglichkeiten zur Erhöhung der Belastungsgrenzen’, Verein Deutscher Ingenieure1963, 241.
16.
WellsC. F.ShotterB. A.‘The development of Circarc gearing’, A.E.I. Engineering, 1962 (March; April).