Engineering Design Optimization

Course #ME4731

Est.imated Completion Time: 3 months

Overview

Application of automated numerical optimization techniques to design of engineering systems. Algorithms for solution of nonlinear constrained design problems. Familiarization with available design optimization programs. State-of-the-art applications. Solution of a variety of design problems in mechanical engineering, using numerical optimization techniques.

Included in degrees & certificates

122
571

Prerequisites

ME2601

Learning Outcomes

At the completion of the course students will be able to:

Formulate an engineering design problem as an optimization. problem, identifying design variables, constraints and objective functions.
Calculate the gradient and Hessian matrices for single- and multi-variable functions.
Use the gradient and Hessian matrices in optimality criteria to identify stationary points and optimal points.
Write a single-variable (line search) unconstrained search program.
Construct search directions using basic optimization algorithms, including Cauchy’s method, Newton’s method, conjugate direction method, Powells Method.
Write a multi-variable, unconstrained optimization program.
Solve linear and nonlinear optimization problems using a commercial optimizer.

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