3 1 แผนการสอน Design theories Optimum design of mechanical elements Optimum and Robust DesignRepresentation of a free-form shape using non-uniform rational B-spline surfaceSelection of design variables and objective functionsSolution of design optimization problemsAdvanced computer aided designModule 1 : Introduction
4 แผนการสอน Week Date Topics 1 Introduction. Optimum design problem formulation. Review of necessary topics in mathematics. Introduction to computer programming and plotting software.2Minimization of unconstrained uni-variate and multivariate functions. Sufficient and necessary conditions for minimization.3Numerical method for optimization of unconstrained uni-vatiate functions. Line search: bisection, golden section, Newton's method and parabolic interpolation.4Numerical method for optimization of unconstrained multivariate functions. Gradient-based method: uni-direction search, steepest direction, conjugate gradient method and Newton's method.5Numerical method for optimization of unconstrained multivariate functions. Zeroth-order method: Grid search, downhill Simplex search, adaptive random search and genetic algorithm.6Project presentation. Recap.Module 1 : Introduction
5 Tentative Schedule Week Date Topics 9 Introduction to designed experiments and their application to optimization problem. Response functions.10Minimization of unconstrained functions. Geometric of a constrain optimization problem. Lagrange multipliers and their geometric meaning. Karush-Khun-Tucker conditions. Introduction to Excel solver module.11Basic numerical Method for constrain optimization problem.12Optimization of discrete problems. Simulated annealing. Genetic algorithm. Traveling salesman problem.13Multi-criteria optimization. Pareto solutions. Minimax method. Weighted objective method.14Case study. Black-box concept in solving engineering optimization problem. Mathematical representation of free form geometry. Bezier curves. B-spline curves. Nurbs. Intoduction to commercial software for engineering optimization. Robust design and other design concept. Discussion of advanced topics in optimum design.15Project presentation. Course Summary.Module 1 : Introduction
6 เอกสารอ้างอิงArora, J., Introduction to Optimum Design, 2nd Edition, McGraw-HillStoecker, W., Design of Thermal Systems, 3rd Edition, McGraw-HillPress, W., et. al., Numerical Recipes in Fortran 77, Cambridge.Module 1 : Introduction
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