330-0903/04 – Finite Element Method in Mechanics (MKPME)
| Gurantor department | Department of Applied Mechanics | Credits | 10 |
| Subject guarantor | doc. Ing. Zdeněk Poruba, Ph.D. | Subject version guarantor | doc. Ing. Zdeněk Poruba, Ph.D. |
| Study level | postgraduate | Requirement | Choice-compulsory type B |
| Year | | Semester | winter + summer |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FEI, FS, USP | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Students will extend and make deeper their theoretical knowledge of the
background of FEM and the numerical procedures that lead to the practical use
of the method. Especially the problematics of solving nonlinear tasks will be
deepen.
Teaching methods
Lectures
Individual consultations
Project work
Summary
The subject deepens basic knowledge from the area of computational modeling by finite element method and focuses especially on geometrical, material and structural nonlinearities and further on advanced issues, e.g. FSI - Fluid Structure Interaction. The teaching process is realized both in theoretical and practical level on examples from technical practice.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
The workout of the individual project on the given theme.
E-learning
Other requirements
Adequate appropriate knowledge in the area of finite element method.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Variational Methods. Principle of stationary potential energy. Potential energy of an elastic body. Bar and Beam Elements. Shape functions. Stiffness matrix. Boundary conditions. Applied mechanical loads. Equilibrium equations. Stresses. Solution of equations. Basic Elements. Stress-strain relations. Interpolation and shape functions. Linear triangle. Rectangular solid elements. Numerical integration. One, two and three dimension applications. Elasticity relations. FEM in Structural Dynamics. Dynamic equation. Mass and damping matrices. Natural frequencies and mode shapes, solutions method. Response History. Modal methods. Harmonic response. Direct integration methods-explicit or implicit.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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