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Vyučující
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Tomek Petr, doc. Ing. Ph.D.
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Hába Aleš, Ing. Ph.D.
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Obsah předmětu
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1. Virtual work in statics and dynamics, generalized coordinates, holonomic and reonomic constraints. 2. Lagrange´s equations of II. type as the method of creation of equations of motion. 3. Kinematics of oscillation motion, harmonic and inharmonic motion, simultaneous harmonics motions. 4. Free vibrations of single degree of freedom systems without damping and with viscous damping. 5. Free vibrations of single degree of freedom systems damping by force of Coulomb´s friction. 6. Forced vibration of single degree of freedom systems, polyharmonic excitation, torsion systems excited by rotating pendulum. 7. Forced vibration of single degree of freedom systems, transient vibration, Duhamel's integral. 8. Natural undamped vibration of systems having two degrees of freedom, frequency equation, modes of vibration. 9. Forced vibration of systems having two degrees of freedom 10. Theory of dynamic damper. 11. Introduction to the oscillating of nonlinear systems with single degree of freedom. 12. Bases of oscillating of linear systems with concentrated parameters. 13. Continuum (transverse undamped vibration of beams)
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Studijní aktivity a metody výuky
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Dialogická (diskuze, rozhovor, brainstorming), Metody samostatných akcí, Demonstrace, Nácvik dovedností, Laborování
- Příprava na zkoušku
- 25 hodin za semestr
- Domácí příprava na výuku
- 95 hodin za semestr
- Kontaktní výuka
- 52 hodin za semestr
- Semestrální práce
- 8 hodin za semestr
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Výstupy z učení
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Aim of the course unit is to acquaint students with wider look on the vibration of discrete systems (lumped-parameters) and of continuous systems, to explain difference between linear and nonlinear systems, to explain the solution of different modes of oscillation (undamped, damped, forced), to accent necessity knowledge of theory of vibrations for solution of technical problems of vibrating systems and explain principle solution of vehicle vibrations.
Student is able to solve problems focused on vibration of bodies system after graduation of this course.
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Předpoklady
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Knowledge at the Bachelor's degree level of a technical study programme including one semester of Mechanics at least. Neccesary knowledge of mathematics: Derivatives, Integrals, Partial Derivatives, Second-Order Differential Equations.
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Hodnoticí metody a kritéria
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Ústní zkouška, Písemná zkouška, Posouzení zadané práce, Analýza výkonu studenta, Rozhovor
The course is credited for the tutorial lessons active student attedance and for the submission of succesfully solved assignment. The exam consists of a written and oral part. The succesfully evaluated written part is neccesarry to attendance of the oral part.
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Doporučená literatura
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Beer F. P., Johnston E. R., Mazurek D. F., Cornwell P. J., Eisenberg E. R. VECTOR MECHANICS FOR ENGINEERS - Statics and Dynamics. New York: McGraw-Hill Companies, 2009. ISBN 978-0-07-352940-0.
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Den Hartog, J. P. Mechanical vibrations. New York: Dover Publications, 1985. ISBN 0-486-64785-4.
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Ginsberg, Jerry H. Engineering dynamics. New York: Cambridge University Press, 2008. ISBN 978-0-521-88303-0.
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Timoshenko S. Theory of Elastic Stability. New York and London: McGraw-Hill Book Company, Inc., 1936.
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