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Lecturer(s)
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Hába Aleš, Ing. Ph.D.
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Tomek Petr, doc. Ing. Ph.D.
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Menčík Jaroslav, prof. 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)
- Preparation for an exam
- 24 hours per semester
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Learning outcomes
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Aim the subject is acquaint students with solving vibrating motions of systems with final as well as with infinite numbers degrees of freedom as are damped or undamped chains, strings, rods, beams, shafts and plates.
Having absolved the subject "Applied Mechanics", the student can describe and analyze the vibrations of continuums.
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Prerequisites
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The following basis knowledge is supposed: 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 lecturer.
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Recommended literature
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Benaroya, Haym. Mechanical vibration : analysis, uncertainties, and control. New York: Marcel Dekker, 2004. ISBN 0-8247-5380-1.
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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. Bratislava: SAV Bratislava, 1969.
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Pirner, Miroš. Dynamika stavebních konstrukcí. Praha: Státní nakladatelství technické literatury, 1989. ISBN 80-03-00000-9.
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