Optimum Design of Mech System

This course introduces and formulates the optimum design process using unconstrained and constrained optimization methods.

TEXT: “Engineering Optimization-Theory and Practice,” Third Edition, by S.S. Rao, John Wiley & Sons, New York, NY, 1996.

• Overview
  • Definitions
  • Optimization Problem
  • Objective Function
  • Examples
  • Classification of Optimization Problems
• One-dimensional Searching
  • Range Finding
  • Quadratic and Cubic Interpolation Methods
  • Newton Methods
  • Fibonacci and Golden Section Searches
• Multi-dimensional Optima
  • Definition
  • Lagrange Multipliers
  • Examples
• Multi-dimensional Searching
  • Gradient Search Method
  • Conjugate Directions
  • Newton Methods
  • Indirect Search Strategies
  • Penalty Functions
  • Feasible Directions
• Dynamic System Optimization

Years Taught: Fall '97