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AME_60661_2008
Course: AME 60661, Fall 2009School: Oakland University
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60661 AME - OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 COURSE DESCRIPTION: Introduction to basic optimization techniques for mechanical design problems. Current applications. TEXTBOOK: INSTRUCTOR: Introduction to Optimum Design J.S. Arora, Elsevier 2004 John E. Renaud, Professor email: Renaud.2@nd.edu office: 365 Fitzpatrick Hall phone: 631-8616 OFFICE HOURS: 3:30 - 4:30 T,Th (after class)...
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60661 AME - OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 COURSE DESCRIPTION: Introduction to basic optimization techniques for mechanical design problems. Current applications. TEXTBOOK: INSTRUCTOR: Introduction to Optimum Design J.S. Arora, Elsevier 2004 John E. Renaud, Professor email: Renaud.2@nd.edu office: 365 Fitzpatrick Hall phone: 631-8616 OFFICE HOURS: 3:30 - 4:30 T,Th (after class) http://www.nd.edu/~cpenning/ame60661/ 365D Fitzpatrick Hall (cpenning@nd.edu) Reading Chapter 1 Chapter 2 Chapter 3
WEB SITE:
Teaching Assistants Charlie Penninger Date Lecture Topic 1/15
Introduction, History, Design vs. Analysis Basic Notation, Problem Formulation, Sample Engineering Problems Graphical Methods, Examples Unconstrained Problems Properties and Optimality (single variable) Properties, Optimality Criteria (multiple variables) Starting Design, Direction Vector and Step Size Region Elimination Methods (Equal Interval) Region Elimination Methods (Golden Search) Steepest Descent Method Conjugate Gradient Method Sample Problem Zero of a Function (Polynomial Estimation) Newtons Method, Modified Newtons Sample Problem
1/17 1/22
4.1 - 4.3.2 4.3.3-4.3.4 8.1 8.2 8.2.4 - 8.2.6 8.3 8.4 9.1.1 9.4 9.5 9.6-9.7
1/24 1/29 1/31
2/5 2/7 2/12
Quasi Newton Methods Sample Problem Engineering Applications Sample Problem TEST I
Date Lecture Topic Constrained Problems Linear Programming (LP) 2/14 LP Problem Definition Graphical Solution 2/19 Simplex method, basic ideas, canonical form 2/21 Tableau, pivot, basic steps 2/26 Derivation of the Simplex Method, basic vs. 2/28 non-basic Artificial Variables, Two Phase 3/1- 3/9 Spring Break 3/11 Post Optimality Analysis 3/13 Dual Methods 3/18 3/20 TEST II
Reading
6.1-6.3
6.4 6.5 7.1-7.3.7
Nonlinear Programming (NLP) Optimality Criteria 4.4-4.5, 10.1 Lagrange Multipliers 3/21-3/24 Easter Break 3/25 Kuhn-Tucker Conditions Chapter 5 3/27 Post Optimality Analysis 4/1 Sequential Linear Programming 10.1-10.3 sample problem 4/3 Method of Feasible Directions (MFD) 11.5 4/8 Quadratic Programming (QP) 11.2 4/10 Generalized Reduced Gradient (GRG) 4/15 Interactive Optimization (MATLAB optimization toolbox) Chapter 12 sample problems/project work 4/17 Practical Design Optimization Chapter 14 4/22 Genetic Algorithms Chapter 16 4/24 Global Optimization Chapter 18 4/28 Multiobjective Optimization Chapter 17 FINAL EXAM _____________________________________________________________________________ GRADING: 2 Hourly Exams 40% Test 3 (Final Exam) 20% Homework/Projects 40% COURS...
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AME-60661 OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 Homework 1 Due Date: Tuesday, January 22 Homework Assignment a.) Formulate the following optimization problems, in terms of design variables, objective function , and constraintsb
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AME-60661 OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 Homework 1 Due Date: Tuesday, January 22 Homework Assignment a.) Formulate the following optimization problems, in terms of design variables, objective function , and constraintsb
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AME-60661 OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 Homework 2 Due Date: Thursday, January 31 Homework Assignment Text Problems 4.17 4.21 4.31 8.1 8.5 8.15 8.23 8.33
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AME-60661 OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 Homework 2 Due Date: Thursday, January 31 Homework Assignment Text Problems 4.17 4.21 4.31 8.1 8.5 8.15 8.23 8.33
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Oakland University - AME - 60661
AME-60661 OPTIMUM DESIGN OF MECHANICAL ELEMENTS Spring Semester 2008 Homework 3 Due Date: Thursday, February 7 Homework Assignment Text Problems 8.54 8.69 9.1 9.9Due Date: Monday February 11 (365 Fitzpatrick, 4:30PM, Mail Box on my door) 9.21 9.24
Oakland University - AME - 60661
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