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Lecturer(s)
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Červený Pavel, Ing.
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Weber Michal, prof. Ing. Ph.D.
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Course content
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Schedule of lectures and exercises: Week 1: Lecture - Basic concepts of statics. Force, moment of force to a point and to an axis, Varignon's theorem, force pair, basic theorems of statics, work and power of force and moment. Exercises - Examples: composition and decomposition of forces, determination of the moment of force to a point and to an axis, composition of force pairs. Week 2: Lecture - Basic concepts of elastostatics. External and internal forces, stress, strain, working diagram, limit stress, Hooke's law. Exercises - Practical demonstrations in the laboratory. Week 3: Lecture - Stress, strain, strain work and strain energy. Limit states of stress and conditions of strength. Exercise - Tensile (compression) loading of straight members and their sizing. Torsional loading of straight members of circular cross-section and their sizing. Application examples. Week 4: Lecture - Static of a material point. Storage and equilibrium of a material point without and with passive effects. Exercise - Application examples. Week 5: Lecture - Kinematics of a material point. Rectilinear and curvilinear motion. Exercises - Application examples: solution of rectilinear motion of a material point, reciprocating motion, harmonic motion, motion of a point on a circle. Week 6: Lecture - Dynamics of a material point. Equation of motion and its solution. Condition of dynamic equilibrium. Theorems of motion of a material point. Exercise - Application examples: investigation of the motion of a material point. Week 7: Lecture - Dynamics of relative motion of a material point. Exercise - Application examples: investigating the relative motion of a material point. Week 8: Lecture - Fundamentals of vibration theory of discrete linear systems with one degree of freedom. Free vibrations. Exercise - Application examples: investigation of natural frequencies and free vibrations of undamped and damped linear systems with one degree of freedom. Week 9: Lecture - Forced oscillations of linear systems with one degree of freedom. Harmonically forced oscillations. Exercise - Application examples: investigation of steady-state harmonically forced oscillations. Week 10: Lecture - Kinematic excitation. Excitation from rotor unbalance. Exercise - Application examples: non-periodically forced oscillation (excitation by impulse and jump). Week 11: Lecture - Dynamics of rotor systems. Laval rotor, rotor with a general disc. Campbell diagram. Exercises - Application examples: calculation of moments of inertia and moments of deviation of bodies, balancing perfectly rigid rotors, rigid rotor on compliant bearings. Week 12: Lecture - Basics of vibroacoustics, noise propagation. Exercises - Application examples. Semester paper assignment. Week 13: Lecture - Experimental measurement of vibration and noise. Exercise - Experimental measurement of vibration and noise - practical demonstrations in the laboratory.
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Learning activities and teaching methods
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- Preparation for an examination (30-60)
- 40 hours per semester
- Contact hours
- 52 hours per semester
- Undergraduate study programme term essay (20-40)
- 15 hours per semester
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| prerequisite |
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| Knowledge |
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| orient in vector calculus |
| classify the basic relations of vector analysis |
| have a basic knowledge of trigonometry and goniometry |
| define the derivation and integration of the basic functions of mathematical analysis |
| describe in general time-dependent functions |
| Skills |
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| calculate the scalar and vector product of vectors |
| solve basic trigonometry problems |
| perform the basic operations of differential and integral calculus |
| solve basic types of linear differential equations |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| define the moment of force to a point |
| define a force pair |
| to orientate in the storage of the material point |
| define the kinematics of a point |
| define basic quantities momentum, moment of momentum, kinetic energy |
| classify free and forced vibrations of linear systems with one degree of freedom |
| know the terms Laval rotor and Campbell diagram |
| Skills |
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| calculate the moment of the force and the pair of forces about the point |
| solve the mass point balance (ideal and real bonds) |
| solve the kinematics of a point |
| solve for the motion of the mass point |
| solve free and forced vibrations of undamped and damped linear systems with one degree of freedom |
| Competences |
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| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Laboratory work |
| Practicum |
| Skills |
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| Lecture with visual aids |
| Individual study |
| Practicum |
| Competences |
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| Lecture |
| Laboratory work |
| Seminar |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Skills |
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| Combined exam |
| Seminar work |
| Competences |
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| Combined exam |
| Seminar work |
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Recommended literature
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Beer F.P., Johnston E.R., Eisenberg E.R., Clausen W.E. Vector Mechanics for Engineers - Statics and Dynamics. McGraw-Hill, New York. 2004.
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Laš, Vladislav; Hlaváč, Zdeněk; Vacek, Vlastimil. Technická mechanika v příkladech. Plzeň : Západočeská univerzita, 2001. ISBN 80-7082-849-8.
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Meriam, J. L. Engineering Mechanics. Volume 2, Dynamics. 6th ed. Hoboken : John Wiley & Sons, 2007. ISBN 978-0-471-73931-9.
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ZEMAN, V. - HLAVÁČ, Z. Kmitání mechanických soustav. Skriptum ZČU v Plzni, 2004. ISBN 80-7043-337-X.
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Zeman, Vladimír; Laš, Vladislav. Technická mechanika. Plzeň : Západočeská univerzita, 2006. ISBN 80-7043-457-0.
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