Tooth Deflection of External and Internal Helical Gears

Abstract

This paper presents study of the three dimensional bending and shearing deflection for external and internal helical gears. The deflection due to a concentrated load operated at the arbitrary position on the tooth flank is calculated by the three dimensional finite element analysis. Based upon this numerical solution, the approximate influence function that is applicable to arbitrary gear tooth dimension is derived. in order to apply this equation to non-standard designed gears such as addendum shifted gears, concept of equivalent tooth form is introduced. It is confirmed that the tooth deflections by the approximate function satisfactorily agree to that by FEM.