วก.654 การออกแบบที่เหมาะสมที่สุดของชิ้นส่วนทางกล
ME654 Optimum Design of Mechanical Parts and Machines

ดุลยโชติ ชลศึกษ์

Objectives
Upon completion of this course, students should be able to form and solve optimum design problems in mechanical design.

Course Description
Classification of optimization problems. Formulation of optimization problems. Analytical and numerical methods for solution of optimization problems. Application of optimization methods in mechanical engineering design.

Week Topics Powerpoints
1 Introduction. Optimum design problem formulation.  
2 Review of necessary topics in mathematics. Introduction to computer programming and plotting software.  
3 Minimization of unconstrained uni-variate and multivariate functions. Sufficient and necessary conditions for minimization.  
4 Numerical method for optimization of unconstrained uni-vatiate functions. Line search: bisection, golden section, Newton's method and parabolic interpolation.  
5 Numerical method for optimization of unconstrained multivariate functions.  
6 Zeroth-order method: Grid search, downhill Simplex search, adaptive random search and genetic algorithm.  
7 Project presentation. Summary.  
8 Midterm examination.  
9 Introduction to designed experiments and their application to optimization problem. Response functions.  
10 Minimization of unconstrained functions. Geometric of a constrain optimization problem. Lagrange multipliers and their geometric meaning. Karush-Khun-Tucker conditions. Introduction to Excel solver module.  
11 Basic numerical Method for constrain optimization problem.  
12 Optimization of discrete problems. Simulated annealing. Genetic algorithm. Traveling salesman problem.  
13 Multi-criteria optimization. Pareto solutions. Minimax method. Weighted objective method.  
14 Case study. Black-box concept in solving engineering optimization problem. Mathematical representation of free form geometry. Bezier curves. B-spline curves. Nurbs.  
15 Intoduction to commercial software for engineering optimization. Robust design and other design concept. Discussion of advanced topics in optimum design. Project presentation. Course Summary.  
16 Final Examinaiton  

Reference: การออกแบบที่เหมาะสมที่สุดของชิ้นส่วนทางกล, ดุลยโชติ ชลศึกษ์