# 330-0541/02 – Optimization of Mechanical Systems (OMS)

 Gurantor department Department of Applied Mechanics Credits 5 Subject guarantor Ing. Pavel Maršálek, Ph.D. Subject version guarantor Ing. Pavel Maršálek, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester summer Study language English Year of introduction 2021/2022 Year of cancellation Intended for the faculties FS Intended for study types Follow-up Master
Instruction secured by
MAW007 Ing. Pavel Maršálek, Ph.D.
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### 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.

Lectures
Tutorials

### 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:

[1] Ravindran, A., Ragsdell, K. M.; Reklaitis, G. V. Engineering Optimization. 2nd ed. Wiley, 2003. [2] Yang, Won-Yong, Cao, Wenwu, Chung, Tae-Sang, Morris, John. Applied Numerical Methods Using MATLAB®. Wiley, 2005.

### Recommended literature:

[1] Lyshevski, Sergey E. Engineering and Scientific Computations Using MATLAB®. Wiley, 2003.

### Way of continuous check of knowledge in the course of semester

Analyzování a řešení příkladů z průmyslové praxe. Na základě dosažených výsledků bude udělován klasifikovaný zápočet.

### Other requirements

Students prepare an individual work on a given topic.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Optimization - Introduction: the practical use and mathematical terminology and basics. 2. Unconstrain optimization of continuous functions - the existence of optimum conditions. 3. Optimization of one variable function: the method of elimination and approximation; 0th and 1st order methods. 4. Optimization of multivariablefunction; 0th, 1st and higher order methods. 5. Introduction to global optimization. 6. Global optimization methods derived from Monte Carlo method and/or Genetic Algorithm method. 7. Optimization procedures available in the application software. 8. Solving optimization problems in the application software (now ANSYS and ANSYS Workbench).

### Conditions for subject completion

Full-time form (validity from: 2021/2022 Winter semester)
Min. number of points
Mandatory attendence parzicipation: Klasifikovaný zápoče

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2027/2028 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2026/2027 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2025/2026 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2024/2025 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2023/2024 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2023/2024 (N0715A270033) Applied Mechanics MTT P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2022/2023 (N0715A270033) Applied Mechanics MTT P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270034) Applied Mechanics MTT P English Ostrava 1 Compulsory study plan
2021/2022 (N0715A270033) Applied Mechanics MTT P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270033) Applied Mechanics MTT P Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

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