"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.
Ho, C. Y. (Chung You), 1933-1988
Faucett, Thomas R.
Lee, Ralph E., 1921-2010
Barker, Clark R.
Penico, Anthony J., 1923-2011
Rivers, Jack L.
Mechanical and Aerospace Engineering
Ph. D. in Mechanical Engineering
University of Missouri--Rolla
viii, 160 Pages
© 1970 Robert Myrl Crane, All rights reserved.
Dissertation - Open Access
Library of Congress Subject Headings
Calculus of tensors
Machinery, Kinematics of
Mechanical movements -- Mathematical models
Print OCLC #
Electronic OCLC #
Link to Catalog Record
Crane, Robert Myrl, "Development and application of cartesian tensor mathematics for kinematic analysis of spatial mechanisms" (1970). Doctoral Dissertations. 2155.