"This study is devoted to the fundamental action which occurs between spur gears with involute tooth profiles when power is transmitted at a constant angular velocity ratio. Various aspects of the interaction between two mating teeth are considered. Analytic expressions for the variation of the force transmitted between two teeth are derived. Two cases are considered which include and exclude the effects of sliding friction between the teeth. The parametric equations of the involute curves for two mating teeth are derived in terms of body-fixed coordinates. Analytical expressions for Hertz compressive stresses in the teeth were also obtained. The same equations were used for a dynamic case to show that they can be used for static as well as dynamic analysis. A comparison is made of the force transmitted between the teeth for different values of coefficient of friction. In a similar fashion a comparison is made for the value of the Hertz contact stress for two different pressure angles of the system. Suggestions are made for further work"--Abstract, page ii.
Barker, Clark R.
Edwards, Charles L., 1934-
Keith, Harold D. (Harold Dean), 1941-
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
University of Missouri--Rolla
vii, 44 pages
© 1972 Janakkumar Girjashanker Dave, All rights reserved.
Thesis - Open Access
Friction -- Industrial applications
Mechanics -- Mathematical models
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Electronic OCLC #
Link to Catalog Record
Dave, Janakkumar Girjashanker, "Force analysis of involute spur gears" (1972). Masters Theses. 3486.