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Lecturer(s)
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Tomek Petr, doc. Ing. Ph.D.
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Course content
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1)Non-linear problems, principal, strategy of numerical solution. 2)Geometrical non-linearity, non-linear stiffness matrix, large displacements, limit load, result evaluation. 3)Stability problems of structures (rod, wall, cylindrical shell), theoretical description, analytical solution, ideal structure, real structure, initial imperfections. 4)Stability numerical analysis of structures, comparison with the analytical solution. 5)Material non-linearity, non-linear stiffness matrix, models of non-linear behavior of materials, limit load, plastic hinges, mechanism, result evaluation. 6)Fully non-linear problems, strength and stability in elastic-plastic area, possible ways of evaluation. 7)Fatigue evaluation of computational models. 8)Contact problems, principal, solution. 9)Excited damped vibration, proportional damping, local dampers, methods of solution. 10)Response computation by normal mode method, stationary state. Response computation by direct integration of differential equations, transient conditions. 11)Technical seismicity, response spectra, response spectra analysis, seismic response of the structures, result evaluation. 12)Theory of desks and foundation structures. 13)Static solution of foundation structures. Subsoil models.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Contact teaching
- 20 hours per semester
- Term paper
- 28 hours per semester
- Preparation for an exam
- 132 hours per semester
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Learning outcomes
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The aim of this course is to introduce students to some sophisticated techniques concerning the Finite Element Method (FEM) presumed for computational analyses of structures. The emphasis is mainly placed on the non-linear problems and result evaluation according to the existing norms and standards.
On completing course, the student can solve more complicated tasks of the non-linear statics and excited vibration by means of the computer program FEM. Based on the achieved results, the student is able to evaluate strength, stability and fatigue of the structures according to existing norms and standards or more precisely according to modern scientific and technical knowledge.
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Prerequisites
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The success of study is a very good knowledge from the subjects Mathematics, Physics, Numerical methods in civil engineering, Strength of material I and Structural Mechanics I, II and III.
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Assessment methods and criteria
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Oral examination, Written examination
Presumption of successful studies the subject are knowledges from subjects of bachelor study Mathematics, Physics, Strength of material, Mechanics, Finite Element Method, etc. (basic principle, Energy Methods, elements, approximate and shape functions, statics, linear loss of stability, eigen frequencies, normal mode method). The requirements will be defined by lecturer during first lecture and exercise.
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Recommended literature
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Bathe, Wilson. Numerical Methods in Finite Element Analysis Englewood Cliffs, Prentice-Hall, 1976. Englewood Cliffs: Prentice-Hall, 1976.
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Bitnar, Řeřicha. Metoda konečných prvků v dynamice konstrukcí.. Praha: SNTL, 1981.
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Kolář, Vladimír. FEM : principy a praxe metody konečných prvků. Praha: Computer Press, 1997. ISBN 80-7226-021-9.
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Kolář,V., Kratochvíl,J.,Leitner,F.,Ženíšek,A. Výpočet plošných a prostorových konstrukcí metodou konečných prvků.. Praha: SNTL, 1979.
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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-.
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Servít, R., Drahoňovský, Z., Šejnoha,J., Kufner, V. Teorie pružnosti a plasticity I. Praha: SNTL - Nakladatelství technické literatury, 1984.
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Servít, Radim. Teorie pružnosti a plasticity II.. Praha: Státní nakladatelství technické literatury, 1984.
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ZIENKIEWICZ, O. C. The finite element method for solid and structural mechanics Amsterdam: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6321-9.
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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.
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ZIENKIEWICZ, O. C. The Finite Element Method in Engineering Science. N.Y., London,McGraw Hill, 1971.
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Zienkiewicz, O. C. The finite element method.. Oxford: Butterworth-Heinemann, 2000. ISBN 0-7506-5049-4.
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