330-0518/02 – Optimization of Mechanical Systems (OPTMS)
| Gurantor department | Department of Applied Mechanics | Credits | 5 |
| Subject guarantor | prof. Ing. Jaroslav Zapoměl, DrSc. | Subject version guarantor | prof. Ing. Jaroslav Zapoměl, DrSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | winter |
| | Study language | English |
| Year of introduction | 2015/2016 | Year of cancellation | 2022/2023 |
| Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
1. To characterize the basic types of optimization problems and recognize the role of problems in engineering practice.
2. Explain the principles of optimization methods, describe their algorithms and discuss their advantages and disadvantages.
3. Apply theoretical knowledge to solving practical problems, interpret the results, modify the solution procedure.
4. Analyze and evaluate the results obtained from optimization solutions, partly analyze the optimization procedures.
Teaching methods
Lectures
Individual consultations
Tutorials
Project work
Summary
Students will learn the basic methods of local and global optimization, both in terms of theoretical foundations of each method, and also from the practical experiences, ie. software processing techniques in MATLAB. The content of this subject are methods based on optimization of smooth functions of one variable and functions of several variables, broken down into methods 0th, 1st and higher-order methods. Then follow the methods of global optimization like Monte Carlo method and methods derived from the genetic algorithm. Finally, students learn about the most common indication, practices in commercial software, this practical component is conducted in the ANSYS environment.
Compulsory literature:
Ravindran, A., Ragsdell, K. M.; Reklaitis, G. V. Engineering Optimization. 2nd ed. Wiley, 2003.
Yang, Won-Yong, Cao, Wenwu, Chung, Tae-Sang, Morris, John. Applied Numerical Methods Using MATLAB®. Wiley, 2005.
Lyshevski, Sergey E. Engineering and Scientific Computations Using MATLAB®. Wiley, 2003.
Recommended literature:
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Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
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Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Optimization - Introduction: the practical use and mathematical terminology and basics.
Unconstrain optimization of continuous functions - the existence of optimum conditions.
Optimization of one variable function: the method of elimination and approximation; 0th and 1st order methods.
Optimization of multivariablefunction; 0th, 1st and higher order methods.
Introduction to global optimization.
Global optimization methods derived from Monte Carlo method and/or Genetic Algorithm method.
Optimization procedures available in the application software.
Solving optimization problems in the application software (now ANSYS and ANSYS Workbench).
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction