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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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Stability, eigenproblems, eigenvalues (critical loads), eigenmodes. Natural frequencies and modes - methods of solution. Non-linear problems, principal, strategy of numerical solution.eometrical non-linearity, non-linear stiffness matrix, large displacements, limit load, result evaluatio Stability problems of structures (rod, wall, cylindrical shell), theoretical description, analytical solution, ideal structure, real structure, initial imperfections. Stability numerical analysis of structures, comparison with the analytical solution. Material non-linearity, non-linear stiffness matrix, models of non-linear behavior of materials, limit load, plastic hinges, mechanism, result evaluation. Fully non-linear problems, strength and stability in elastic-plastic area, possible ways of evaluation. Excited damped vibration, proportional damping, local dampers, methods of solution. Response computation by normal mode method, stationary state. Response computation by direct integration of differential equations, transient conditions. Technical seismicity, response spectra, response spectra analysis, seismic response of the structures, result evaluation.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities
- Contact teaching
- 18 hours per semester
- Term paper
- 12 hours per semester
- Preparation for an exam
- 180 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 statics, stability problems, mechanical vibration and result evaluation according to the existing norms and standards.
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 statics, stability problems, mechanical vibration and result evaluation according to the existing norms and standards.
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Prerequisites
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The following basic knowledge is expected: mathematics (linear algebra - matrix calculus, eigenproblems), numerical mathematics (solution of linear equation system, interpolation), mechanics (statics, kinematics, dynamics, strength of material, thermo-mechanics).
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Assessment methods and criteria
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Oral examination, Written examination
The following basic knowledge is expected: mathematics (linear algebra - matrix calculus, eigenproblems), numerical mathematics (solution of linear equation system, interpolation), mechanics (statics, kinematics, dynamics, strength of material, thermo-mechanics).
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Recommended literature
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Bitnar Z., Řeřicha P.. Metoda konečných prvků v dynamice konstrukcí, SNTL, 1981.
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Kolář V., Kratochvíl J., Leitner F., Ženíšek A. Výpočet plošných a prostorových konstrukcí metodou konečných prvků. SNTL Praha 1979.
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Nakasone Y., Yoshimoto S. Engineering analysis with Ansys Software. Elsevier 2006.
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Setrvít R., Drahoňovský Z., Šejnoha J., Kufner V.. Teorie pružnosti a plasticity I,II.SNTL Praha 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. Amsterdam: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6321-9.
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Zienkiewicz, O. C. The finite element method.. Oxford: Butterworth-Heinemann, 2000. ISBN 0-7506-5055-9.
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