|
Lecturer(s)
|
-
Tomek Petr, doc. Ing. Ph.D.
-
Gajdoš Tomáš, Ing.
|
|
Course content
|
1. Analytical methods versus numerical methods. advantages, disadvantages, basis definitions of matrix calculus and calculus of variation. Energy principals (Lagrange, Castiglian), Ritz´s variation method. 2. Finite difference method 3. Principal of FEM, duality (deformation variant, force variant), element stiffness matrix. 4. The overall stiffness matrix, load, boundary conditions, system of linear equations and its solution. 5. Finite elements and their usage - BEAM 2D element, BEAM 3D element. 6. Finite elements and their usage - plane element, desk element, shell element. 7. Finite elements and their usage - solid elements, special elements (MASS, GAP, STRING, axially-symmetric element). 8. Linear statics, displacements, strains, stresses. 9. Result evaluation of linear statics, stress categories, strength, fatigue. 10. Presentation of some real technical problems, usage of various types of elements. 11. Linear loss of stability, normal mode method. 12. Natural frequencies and natural modes, signification of particular natural frequencies and modes, modal mass. 13. Natural frequencies and modes - methods of solution. Summary of the subject.
|
|
Learning activities and teaching methods
|
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Contact teaching
- 52 hours per semester
- Term paper
- 20 hours per semester
- Preparation for an exam
- 78 hours per semester
|
|
Learning outcomes
|
The aim of this course is to introduce students to the Finite Element Method (FEM) applied to problems of linear statics and natural vibration of structures. The students will acquire the theoretical basis of the method and they will also solve practical tasks by means of the computer programs.
Graduating the subject, the student can solve individually simpler tasks of linear statics and natural vibration by means of the computer program SolidWorks Simulation. Based on the achieved results of the analysis, the student is able to evaluate strength and fatigue according to valid norms and standards or according to modern scientific and technical knowledge, respectively.
|
|
Prerequisites
|
The success of study is a very good knowledge from the subjects Mathematics, Physics, Strength of material I and Structural Mechanics I, II and III.
|
|
Assessment methods and criteria
|
Oral examination, Written examination
Presumption of successful studies the subject are knowledges from subjects Mechanics, Physics, Strength of material I and Mathematics. The requirements will be defined by lecturer during first lecture and exercise.
|
|
Recommended literature
|
-
BATHE, Wilson. Numerical Methods in Finite Element Analysis. Englewood Cliffs, Prentice-Hall, 1976.
-
BITTNAR, Řeřicha. Metoda konečných prvků v dynamice konstrukcí. SNTL Praha, 1981.
-
KOLÁŘ, V., Kratochvíl, J., Leitner, F., Ženíšek, A. Výpočet plošných a prostorových konstrukcí metodou konečných prvků. SNTL Praha, 1979.
-
Nakasone, Y., Yoshimoto, S. Engineering Analysis with ANSYS Software. Elsevier, 2006. ISBN 0-7506-6875-1. Elsevier: 2006. ISBN 0-7506-6875-., 2006. ISBN 0-7506-6875-.
-
Servít, Radim. Teorie pružnosti a plasticity II.. Praha: Státní nakladatelství technické literatury, 1984.
-
ZIENKIEWICZ, O. C. The finite element method for solid and structural mechanics Amsterdam: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6321-9.
-
Zienkiewicz, O. C. The finite element method for solid and structural mechanics Amsterdam: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6321-9. Amsterdam: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6321-9.
-
ZIENKIEWICZ, O. C. The Finite Element Method in Engineering Science. N.Y., London, McGraw Hill, 1971.
-
Zienkiewicz, O. C. The finite element method.. Oxford: Butterworth-Heinemann, 2000. ISBN 0-7506-5049-4.
|