330-0541/01 – Optimization of Mechanical Systems (OMS)

Gurantor departmentDepartment of Applied MechanicsCredits5
Subject guarantorIng. Pavel Maršálek, Ph.D.Subject version guarantorIng. Pavel Maršálek, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2021/2022Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
MAW007 Ing. Pavel Maršálek, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+3
Part-time Graded credit 16+0

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
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.

E-learning

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

Part-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100  51
Mandatory attendence parzicipation: Klasifikovaný zápoče

Show history

Occurrence in study plans

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

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner