Computational Methods and Optimization

Garant předmětu:

Tomáš Mareš

Lecturer:

Tomáš Mareš

Tutor:

Tomáš Mareš

Supervisor:

Department of Mechanics, Biomechanics and Mechatronics

Synopsis:

The lecture is devoted to modern methods of analysis and

optimization of an elastic and inelastic structures

Requirements:

1. Methodological procedure of design and structural optimization

2. Analysis as a cornerstone of construction

3. Empirical knowledge and methods

4. Numerical methods of structural analysis

5. Finite element method

6. Finite volume method

7. The fundamentals of mathematical optimization theory

8. Engineering methods of an extremum finding

9. Optimization of dimension, shape, topology and material

10. Smart structures

11. Jointless mechanisms

12. Structures with given characteristics

13. Inverse problems

14. Joint and jointless mechanisms controlled by given temperature

Syllabus of lectures:

1. Methodological procedure of design and structural optimization

2. Analysis as a cornerstone of construction

3. Empirical knowledge and methods

4. Numerical methods of structural analysis

5. Finite element method

6. Finite volume method

7. The fundamentals of mathematical optimization theory

8. Engineering methods of an extremum finding

9. Optimization of dimension, shape, topology and material

10. Smart structures

11. Jointless mechanisms

12. Structures with given characteristics

13. Inverse problems

14. Joint and jointless mechanisms controlled by given temperature

Syllabus of tutorials:

1. Methodological procedure of design and structural optimization

2. Analysis as a cornerstone of construction

3. Empirical knowledge and methods

4. Numerical methods of structural analysis

5. Finite element method

6. Finite volume method

7. The fundamentals of mathematical optimization theory

8. Engineering methods of an extremum finding

9. Optimization of dimension, shape, topology and material

10. Smart structures

11. Jointless mechanisms

12. Structures with given characteristics

13. Inverse problems

14. Joint and jointless mechanisms controlled by given temperature

Study Objective:

Study materials:

[1] Miroslav Španiel: Přednášky z MKP

[2] další

[3] T. Mareš (2006): Základy konstrukč­ní optimalizace

[4] T. Mareš (2007), Konstrukč­ní optimalizace, skriptum

Note:

Time-table for winter semester 2022/2023:

Time-table is not available yet

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans: