330-0514/01 – FEM in Mechanics (MKPVM)
Gurantor department | Department of Applied Mechanics | Credits | 3 |
Subject guarantor | doc. Ing. Zdeněk Poruba, Ph.D. | Subject version guarantor | doc. Ing. Zdeněk Poruba, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2015/2016 | Year of cancellation | |
Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Define discretization principle in deformation variant of FEM
Identify importance of shape function by aproximation of displacement
Characterize creation of stiffness matrix of one element
Construct glabal stiffness matrix from one element matrixes, Load vector
Solve matrix equation for solution eigenvalues and eigenshapes non-damping vibration
Introduction to the solution of nonlinear static problems.
Compute easy problem of buckling
Teaching methods
Lectures
Tutorials
Summary
1. Diskretization of mechanical structures, variable calculus in mechanics, Ritz
method
2. Deformation variant of finite element method
3. One dimension stright element, shape function at bending, stiffness matrix, load vector,
4. Global stiffness matrix and global load vector, optimisation of band matrix, basic matrix equation of FEM and their solution
5. Transformation matrixes, plane and space frame structures
6. Plane and Space elements
7. Dynamic problems and FEM, mass matrix
8. Eigenfrequencies and eigenshapes of vibrations, iterations method of solutions
9. Step by steps methods; modal analysis
10.General problem statement of FEM
Compulsory literature:
Recommended literature:
http://www.mece.ualberta.ca/tutorials/ansys/ ( University of Alberta, Canada)
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
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Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Diskretization of mechanical structures, variable calculus in mechanics, Ritz
method
2. Deformation variant of finite element method
3. One dimension stright element, shape function at bending, stiffness matrix, load vector,
4. Global stiffness matrix and global load vector, optimisation of band matrix, basic matrix equation of FEM and their solution
5. Transformation matrixes, plane and space frame structures
6. Plane and Space elements
7. Dynamic problems and FEM, mass matrix
8. Eigenfrequencies and eigenshapes of vibrations, iterations method of solutions
9. Step by steps methods; modal analysis
10.General problem statement of FEM
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction