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Lecturer(s)
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Tomek Petr, doc. Ing. Ph.D.
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Paščenko Petr, prof. Ing. Ph.D.
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Course content
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Non-linear problems, principal, strategy of numerical solution. Geometrical non-linearity, non-linear stiffness matrix, large displacements, limit load, result evaluation. 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. Fatigue evaluation of computational models. Presentation of some real technical problems, result evaluation of computational models. Contact problems, principal, solution. 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. Summary of the subject.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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Learning outcomes
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The aim of this subject is to acquaint students with some more exacting techniques of the finite element method 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.
Graduating the subject, the student can solve individually more complicated tasks of the non-linear statics and excited vibration by means of the computer program COSMOS/M or COSMOSWorks. 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 according to modern scientific and technical knowledge, respectively.
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Prerequisites
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The serious interest in modern computational methods and successful graduation of the basic course Finite Element Method I.
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Assessment methods and criteria
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Work-related product analysis
The requirements will be defined by lecturer.
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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, SNTL Praha 1981. SNTL Praha, 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. 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,II, SNTL Praha, 1984.. 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 in Engineering Science. N.Y.,London,McGraw Hill, 1971.
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