Doctoral Dissertations

Abstract

"The complexity of spatial mechanisms in themselves and the absence of an attractive analytical tool for their study has left this field of engineering analysis largely unexplored. In recent years several analytic methods have emerged. One of the most attractive of these is the tensor method. Literature surveys reveal that the tensor method is largely unexploited in the U.S.A., with regard to spatial mechanisms as well as simpler kinematic problems. The purpose of this work is to develop tensor mathematics for application to the kinematic analysis of spatial mechanisms. Methods are developed for position solutions and the determination of velocities and accelerations of points of interest. Included are tensor methods for obtaining angular velocities and accelerations as well as the formulae for treating moving coordinate frames. Iterative procedures are discussed for cases where a closed form solution is not possible. Sufficient applications are included to exemplify the methods developed including some which are numerically solved by computer. It is concluded that the methods developed represent a cogent and tractable method of analysis of kinematic problems"--Abstract, Page ii.

Advisor(s)

Ho, C. Y. (Chung You), 1933-1988

Committee Member(s)

Faucett, Thomas R.
Lee, Ralph E., 1921-2010
Barker, Clark R.
Penico, Anthony J., 1923-2011
Rivers, Jack L.

Department(s)

Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Mechanical Engineering

Publisher

University of Missouri--Rolla

Publication Date

1970

Pagination

viii, 160 pages

Note about bibliography

Includes bibliographical references (Pages 158-159).

Rights

© 1970 Robert Myrl Crane, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Calculus of tensorsMachinery, Kinematics ofMechanical movements -- Mathematical models

Thesis Number

T 2400

Print OCLC #

6022932

Electronic OCLC #

845052123

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