Date of Award

Fall 1971

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Electrical Engineering

First Advisor

Nigro, Nicholas J.

Second Advisor

Gaggioli, Richard A.

Abstract

The analysis of an arbitrary, simultaneous system of nonlinear algebraic and transcendental equations has become a necessity in numerous problem areas. The solution of a nonlinear system is often the final step in the solution of practical problems arising in physics and engineering. If the equations form a sufficiently good description of a engineering or physical system, they will have a solution that corresponds to some state of this system. The subject matter of this thesis is a presentation and review of the methods utilized for the solution of a nonlinear system of algebraic and/ or transcendental equations. In addition, a variation of the minimization method is presented for the minimization of a potential energy function, as in the total potential energy approach in structural theory. The methods presented are utilized to solve an arbitrary beam deflection problem (nonlinear). The results of the methods are then presented and compared.

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