Optimum Design of Mech System

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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