CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

# Numerical Methods in Mechanics

The course is not on the list Without time-table
Code Completion Credits Range Language
2222040 KZ 3 2P+1C Czech
Garant předmětu:
Lecturer:
Tutor:
Supervisor:
Department of Aerospace Engineering
Synopsis:

The course is focused on applications of numerical calculations of flow problems, strength and mechanisms in aerospace engineering. Part of the course is to familiarize with modern software packages for the numerical solution of flow and strength.

Requirements:

No requirements.

Syllabus of lectures:

1st Unit (week 1- 5): Numerical solution of fluid flow

Mathematical models of flow, the Euler and Navier-Stokes equation and their properties, numerical solution of the task for subsonic and supersonic potential flow, basic types of numerical solvers. Modeling of turbulence. Geometry modeling, creation of computational grid. Stability of the solution, convergence. Processing of the results, optimization methods.

2nd Unit (week 6-9): Finite element method in elasticity and strength

Beam elements, 1D, 3D geometry, kinematics. Generalized forces and displacements. The shell, shell elements, classification of shell elements. FEM calculations of laminates. The calculation of the modal properties. The use of FEA in the aeroelasticity.

3rd Unit (week 10-13): Numerical solution of mechanisms

Creation of the mechanical model, the rigid and yielding body, linking with FEM. Types of boundary conditions and their application. The definition of the movements of body and their links.

Syllabus of tutorials:

1st Unit (week 1- 5): Numerical solution of fluid flow

Practical exercises ? the creation of the model and grid, 2D model, 2D compressible flow, 3Dmodel-outer stream, turbulent models, processing of the results, optimization methods.

2nd Unit (week 6-9): Finite element method in elasticity and strength

Practical exercise-1D, 2D, 3D elements, the shell, the shell elements. FEM calculations of laminates. The calculation of the modal properties. The use of FEA in the aeroelasticity.

3rd Unit (week 10-13): Numerical solution of mechanisms

Creation of the mechanical model, connection with FEM. Application of boundary conditions, the definition of the movements of body and their links.

Study Objective:

The acquisition of basic skills for working with modern software packages for the numerical solution of flow and strength.

Study materials:

Bathe, K.J., Wilson, E.L.: Numerical methods in finite element analysis. Prentice-Hall, Inc., 1976

Anderson J., Computational Fluid Dynamics The Basics With Applications, McGraw-Hill, 1995

Tannehill J.,C., Anderson D., A., Pletcher R., H., Computational Fluid Mechanics and Heat Transfer, Taylor &amp; Francis, 1997

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2024-06-16
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet4861706.html