F-0338 Derivation of Experimental Formulas of Gear Deflection and Transmission Error Analysis under Load of a Helical Gear Pair

Abstract

Experimental formulas of gear deflection are derived from measured transmission errors. Supposing that tooth deflection with respect to applied load can be expressed approximately as a curve of the second order, the compliance of one-tooth engagement is estimated. Transmission error curves of a helical gear pair under load are calculated with obtained tooth compliance. To obtain more accurate transmission error, load sharing rate is modified so as to become smooth. Calculated transmission error curves under the modified load sharing rate are very similar to measured ones. That means the behavior of load sharing rate is clarified by experiment in a reverse way.