Date of Award

Fall 1993

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Mechanical Engineering

Committee Director

Gene J. W. Hou

Committee Member

Ugay Shifahatti

Committee Member

S. Bawab

Committee Member

Due Nguyen

Call Number for Print

Special Collections; LD4331.E56R36

Abstract

A new adjoint variable method has been formulated for finding the sensitivity derivatives of dynamic system responses. Though the method can be based on any step-by-step time marching scheme, the Wilson Theta Method has been chosen as the basis of the new formulation . Wilson Theta Method is an implicit numerical integration scheme for finding the dynamic system responses. The new formulation uses the differential form of equations of motion as given by the Wilson Theta Method in its formulation of the adjoint equation. The conventional methods used for finding the sensitivity derivatives, namely, the direct differentiation technique, the central difference method, the automatic differentiation technique and the conventional adjoint variable method are explained briefly, for comparison purposes. The new formulation is computationally faster than the direct differentiation technique, depending on the number of constraint functions and the number of design variables. The formulation is applicable to linear as well as non-linear problems.

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DOI

10.25777/zw9b-hf08

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