A novel method was presented by the authors to minimize the static transmission error using cubic splines (C.S.) for gear tooth profile. A reduction in the transmission error is expected to reduce the gear vibration and noise by lowering the dynamic tooth load in a meshing cycle. To establish this fact, a dynamic analysis of the gear drive with involute tooth and modified tooth profiles (using C.S.) is performed. For this, first the tooth deformation is found and then the tooth dynamic load is determined for all reasonable speeds. A parametric study is conducted to establish the superiority of the C.S. based gear profile over the involute profile as well as the other profiles based on the use of linear and parabolic tip reliefs.

Issue Section:
Research Papers
Topics:
Spur gears, Stress, Errors, Gears, Cycles, Deformation, Dynamic analysis, Gear teeth, Mechanical drives, Noise (Sound), Splines, Vibration
1.
Buckingham, E., 1949, Analytical Mechanics of Gears, McGraw-Hill, NY.
2.
Cornell
R. W.
,
1981
, “
Compliance and Stress Sensitivity of Spur Gear Teeth
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
103
, No.
2
, April, pp.
447
–
459
.
3.
Fukuma
H.
,
Furukawa
T.
, and
Aida
T.
,
1973
, “
Fundamental Research on Gear Noise and Vibration (6th Report, Generation Mechanism of Radial and Axial Vibration of Spur Gears)
,”
Bulletin of JSME
, Vol.
16
, pp.
1094
–
1107
.
4.
Kasuba, R., 1971, “Dynamic Loads on Spur Gear Teeth by Analog Computation,” ASME Paper 71-DE-26.
5.
Kasuba
R.
, and
Evans
J. W.
,
1981
, “
An Extended Model for Determining Dynamic Loads in Spur Gearing
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
103
, pp.
398
–
409
.
6.
Lin, H. H., and Houston, R. L., 1986, “Dynamic Loading on Parallel Shaft Gears,” NASA CR 179473.
7.
Lin, H. H., Townsend, D. P., and Oswald, F. B., 1989a, “Dynamic Loading of Spur Gears With Linear or Parabolic Tooth Profile Modifications,” Proc. of ASME 5th International Power Transmission and Gearing Conference, Chicago, IL, Vol. 1, pp. 409–419.
8.
Lin, H. H., Townsend, D. P., and Oswald, F. B., 1989b, “Profile Modification to Minimize Spur Gear Dynamic Loading,” Proc. of ASME 5th International Power Transmission and Gearing Conference, Chicago, IL, Vol. 1, pp. 455–465.
9.
O¨zuguven, H. O., and Houser, D. R., 1988, “Mathematical Models Used in Gear Dynamics—A Review,” Journal of Sound and Vibration, March.
10.
Strang, G., 1986, Introduction to Applied Mathematics, Wellesley-Cambridge Press.
11.
Tordion, G. V., 1963, “The Mechanical Impedance Approach to the Dynamics (Torsional Vibrations) of the Geared Systems,” AGMA Paper 209.04.
12.
Welbourn, D. B., 1972, “Forcing Frequencies Due to Gears,” Proc. Vibr. in Rotating Syst. Conf., 1. Mech. E., pp. 25–40.
13.
Yoon, K. Y., and Rao, S. S., “A Novel Design Procedure for Reducing Vibration and Noise,” submitted for possible publication.
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