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Lecturer(s)
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Kout Jan, doc. Ing. CSc.
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Hába Aleš, Ing. Ph.D.
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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. Vehicle 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 vibration of discrete systems (lumped-parameters) and of continuous systems, to explain discrepancy between linear and systems. By presenting examples it also aims at an explanation of an application of the approximate methods for determining natural frequencies of continuum. Emphasis is laid on the essential knowledge of the vibration theory for problem-solution of vibrating systems, and explanation of the principle solution of vehicle vibrations.
By attending the course students gain more complex and more exact understanding of problems of vibration in technical practice, they can calculate natural frequency of systems and apply knowledge of theory of vibration on analysis of vibrating actions in the real systems.
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Prerequisites
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The prerequisite for the succussful course completion is very good knowledge from the bachelor courses Mechanics I, Kinematics and Mechanics II.
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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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