330-3008/01 – Finite Element Method (MKP)
Gurantor department | Department of Applied Mechanics | Credits | 5 |
Subject guarantor | prof. Ing. Radim Halama, Ph.D. | Subject version guarantor | prof. Ing. Radim Halama, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2016/2017 | Year of cancellation | |
Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Students gain the theoretical foundations of the finite element method (FEM) and the procedures for solving problems of elasticity using the numerical method. Basic training of FEM application on the selected tasks from engineering practice especially focused on the biomechanics.
Teaching methods
Lectures
Tutorials
Summary
The subject forms the basis for the use of finite element method in engineering practice.
Contents are general formulation of continuum mechanics, fundamentals linearization, introduction to variational methods, finally FEM applications to specific types of problems of linear elasticity.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
test, unassisted analyses
E-learning
Other requirements
performing FE analyses, self computing of one task
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. The first issue of modeling, analytical and numerical approaches to solving problems
2. Revision of mathematics necessary for further study (vectors, matrices, solving systems of equations, transformation)
3. Numerical Mathematics (interpolation, approximation, solving systems of equations, errors).
4. Revision of basic knowledge of mechanics (statics, kinematics, dynamics, flexibility and strength)
5. The Finite Element Method - FEM history and its applications in biomechanics, basic ideas, direct stiffness method (introduction).
6. Direct stiffness method (completion).
7. Variational formulation of the problem of elasticity - the principle of minimum potential energy
8. General formulation of FEM - Analysis of elements
9. General formulation of FEM - structural analysis
10. Types of elements and their use
11. Steady and unsteady problems solved by FEM (static analysis, stability)
12. Steady and unsteady problems solved by FEM - (modal analysis, transient analysis)
13. Introduction to nonlinear FEA Thermal analysis by FEM, Coupled problems.
14. Application Notes - using FEM for solving problems of biomechanics.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction