Masters Theses

Abstract

"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.

Advisor(s)

Barker, Clark R.

Committee Member(s)

Edwards, Charles L., 1934-
Keith, Harold D. (Harold Dean), 1941-

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1972

Pagination

vii, 44 pages

Note about bibliography

Includes bibliographical references (page 42).

Rights

© 1972 Janakkumar Girjashanker Dave, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Library of Congress Subject Headings

Gearing, Spur
Friction -- Industrial applications
Mechanics -- Mathematical models

Thesis Number

T 2883

Print OCLC #

6029527

Electronic OCLC #

904295333

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