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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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Středová Doubravka, Ing. Ph.D.
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Course content
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Virtual work in dynamics, generalized coordinates, holonomic and rheonomic constraints. Lagrange´s equations of II. type like method make-up of equations of motion. Free vibrations of single degree of freedom systems, viscous damping, damping by force of Coulomb´s friction. Forced vibration of single degree of freedom systéme, steady-state vibration, harmonic excitation. Forced vibration of single degree of freedom systéme, kinematic excitation, polyharmonic excitation. Forced vibration of single degree of freedom systems, transient vibration, Duhamell´s (convolution) integral. Natural undamped vibration of systems having two degrees of freedom, frequency equation, modes of vibration. Forced vibration of systems having two degrees of freedom, theory of dynamic damper. Introduction to the oscillating of nonlinear systems with single degree of freedom. Vibration of strings, progressive waves. Longitudinal vivration of thin rodes,torsional vibration of shafts. Transverse vibration of thin beams, Rayleigh´s method for determination of natural frequences. Vehicles vibrations. Time allowance and summary.
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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 provide students with a wider view of the vibration of discrete systems (lumped-parameters) and of continuous systems, explain discrepancy between linear and systems, on examples explain using of approximate methods for determination of natural frequencies of continuum, accent necessity knowledge of theory of vibrations for solution of technical problems of vibrating systems, and explain principle solution of vehicle vibrations.
After the course completion student gains more complex and more exact view on problems of vibration in technical practice, he/she can calculate actual frequency of systems and apply knowledge of theory of vibration on analysis of vibrating processes in real systems.
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Prerequisites
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Precondition for a successful course completion is a very good knowledge of Mechanics I, Kinematics and Mechanics II from the bachelor studies.
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Assessment methods and criteria
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Oral examination
The requirements will be defined by the lecturer.
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Recommended literature
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Brepta, Rudolf. Mechanické kmitání. Praha: Sobotáles, 1994. ISBN 80-901684-8-5.
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Gonda, J. Základy dynamiky strojov.. ALFA Bratislava, 1969.
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Juliš, K., Brepta, R. a kol. Mechanika II. Díl., Dynamika; Technický průvodce sv.66. SNTL Praha, 1987.
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Timošenko, Š. Kmitání ve strojnictví. SNTL Praha, 1960.
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