Document Type

Thesis

Date of Award

1-31-1985

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Sachio Nakamura

Second Advisor

Aaron Deutschman

Third Advisor

Rong-Yaw Chen

Abstract

This thesis introduces three numerical methods of solving nonlinear algebraic equations, i.e. Newton's method, Brown's method, and Brent's method, and applies these methods to kinematics of mechanism problems for comparative study.

Firstly, each method is reviewed in some detail. Then experimental computer programs, NABKAP(Nonlinear Algebraic equations Based Kinematic Analysis Programs), are developed based on the above methods and used to solve kinematic of mechanism problems. Example problems include various kinds of four-bar mechanisms and two degree of freedom mechanism. Lastly, each technique is compared with the others based on the above computational experiences.

The FORTRAN programs used for this study are listed in the Appendix of the thesis.

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