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K. N. Toosi Univ. of Technology, Faculty of Mechanical Engineering, Semester: 1391-2

Instructor: Dr. M. Asgari

Time: Saturday and Monday, 9:00

Web site: http://wp.kntu.ac.ir/asgari/courses.html

Syllabus (Main Topics):

- Introduction to Optimum Design What will be considered

- Problem Formulation and Optimization Concepts Statement of Optimization Problem

Classification of Optimization Problems Global and Local Optimum

Lagrange Multipliers and its Physical Meaning Karush-Kuhn-Tucker (KKT) Conditions Convex Programming Problem

- Classical Optimization Techniques - Postoptimality and Sensitivity analysis - Linear Programming Methods for

Simplex Algorithms

Two-Phase Simplex Method - Nonlinear Programming Methods

Elimination Methods Interpolation Methods Direct Search Methods Descent Methods

Penalty Function Method - Optimum Design with MATLAB - Modern Methods of Optimization

Genetic Algorithms Simulated Annealing Ant Colony Optimization Particle Swarm Optimization

- Multi-objective Optimum Design Concepts and - Global Optimization Concepts and Methods - Design Optimization with Implicit Functions - Topology and Shape Optimization

- Automotive Structural Optimization

د8 و ن وا م

Faculty of Mechanical Engineering,

Course:

Engineering Optimization

9:00-10:15 a.m.

http://wp.kntu.ac.ir/asgari/courses.html

Introduction to Optimum Design

d in Engineering Design, Analysis and Optimization?

Problem Formulation and Optimization Concepts Statement of Optimization Problems Classification of Optimization Problems

Optimum

Lagrange Multipliers and its Physical Meaning Tucker (KKT) Conditions Convex Programming Problem

Classical Optimization Techniques Sensitivity analysis

Linear Programming Methods for Unconstrained and Constrained Optimum Design Phase Simplex Method

Methods for Unconstrained and Constrained Optimum Design

Penalty Function Methods Optimum Design with MATLAB Modern Methods of Optimization

Ant Colony Optimization Particle Swarm Optimization

objective Optimum Design Concepts and Methods Global Optimization Concepts and Methods

Implicit Functions Optimization of Structures Automotive Structural Optimization

اد 0

1 in Engineering Design, Analysis and Optimization?

Optimum Design

Optimum Design

(2)

K. N. Toosi Univ. of Technology, Engineering Optimization

Faculty of Mechanical Engineering, Semester: 1391-2

2 Required Text:

- Jasbir Arora, Introduction to Optimum Design, 2nd Edition, Academic Press, 2004.

- Class Notes on Selected Subjects.

Additional References:

General Engineering Optimization:

Singiresu S. Rao, Engineering Optimization Theory and Practice, Willy, 2009.

G. Vanderplaats, Numerical Optimization Techniques for Engineering Design, VR&D, 2001.

A. Belegundu, T. Chandrupatla, Optimization Concepts and Applications in Engineering, Cambridge University Press, 2011.

G. Mastinu, M. Gobbi, C. Miano, Optimal Design of Complex Mechanical Systems With Applications to Vehicle Engineering, Springer-Verlag , 2006.

J. S. Arora, Optimization of Structural and Mechanical Systems, World Sc. Pub, 2007.

P. Venkataraman, Applied Optimization with MATLAB Programming, Wiley, 2009.

Topology and Structural Optimization:

B. Hassani, E. Hinton, Homogenization and Structural Topology Optimization Theory, Practice and Software, Springer, 1998.

M. P. Bendsoe, Optimization of Structural Topology, Shape and Material, Springer, 2004.

X., Huang, M. Xie, Evolutionary Topology Optimization of Continuum Structures Methods and Applications, John Wiley & Sons, 2010.

Modern Algorithms:

David E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning , Addison-Wesley, 1989.

A. Abraham, R. Goldberg, Evolutionary Multiobjective Optimization Theoretical Advances and Applications, Springer-Verlag, 2005.

Topics for extra study and course seminar:

Dynamic Programming, Stochastic Programming,

Modern Software for Optimization, Finite Element-Based Optimization, Neural-Network Based Optimization, Reliability-Based Optimization,

Specific Topics in Optimization in Automotive Design, Hybrid Methods in Optimization,

Multidisciplinary Design Optimization, and etc.

Grading

- Homework - Midterm exam - Final Exam - Term Project

Referensi

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