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Lecturer(s)
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Hába Aleš, Ing. Ph.D.
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Kout Jan, doc. Ing. CSc.
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Course content
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Vibrations of Multi-Degree of Freedom Systems (Vibrations of chains). Longitudinal Vibration Uniform bars with Viscous Friction. Longitudinal Vibration of Non-uniform bars. Forced Longitudinal Vibration of Uniform bars. Torsional Vibration of Shafts. Torsional Vibration of Shafts with Rigid Disks. Ritz method - Natural Torsional Vibration. Transverse Vibration of Uniform Beams. Solution of Simplified wave equation. Forced Undamping Transverse Vibration of Uniform Beams. Rayleigh´s Method - Transverse Vibration of Beams with Rigid Masses. Vibration of Plates.
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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 the course is to acquaint students with the solution of vibrating motions of systems with final as well as with infinite numbers of degrees of freedom, e.g. damped or undamped chains, strings, rods, beams, shafts and plates.
Having completed the course "Applied Mechanics", the student can describe and analyze the vibrations of continuums.
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Prerequisites
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The following basic knowledge is expected: mathematics (linear algebra, matrix calculus, eigenproblems, partial differential equations), mechanics (dynamics, strength of materials).
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Assessment methods and criteria
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Oral examination, Home assignment evaluation
The requirements will be defined by the lecturer.
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Recommended literature
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Brdička, Miroslav. Mechanika kontinua. Praha: Academia, 2000. ISBN 80-200-0772-5.
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Brepta, Rudolf. Mechanické kmitání. Praha: Sobotáles, 1994. ISBN 80-901684-8-5.
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Gonda, J.. Kmitanie nosníkov a hriadeĺov.. SAV Bratislava, 1969.
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Haym Benaroya. Mechanical Vibration, Analysis, Uncertainties and Control.. Marcel Dekker, Inc. New York, 2004. ISBN 0-8247-5380-1.
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Pirner, M., a kol. Dynamika stavebních konstrukcí, Technický průvodce č. 33. SNTL Praha, 1989.
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