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Lecturer(s)
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Valášek Michael, prof. Ing. DrSc.
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Course content
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1. Introduction - example of use in practice. Modeling. Dynamics of systems of particles. 2. Dynamics of systems of particles. The dynamics of the body. Geometry wt. 3. d'Alembert equation. The inertial effects of the motion of bodies. 4. The balancing of rotating bodies. The method of release. Newton-Euler equations. 5. Multibody dynamics. 6. Principle of virtual work and performance. Lagrange equation II. species. 7. A method of reduction. Stability of motion. Collision. 8. Approximate theory flywheels. 9. Oscillating systems with one degree of freedom. Free oscillations. Forced oscillations excited by a harmonic force. 10. Vibration systems. Forced oscillations due to the rotating unbalanced mass. Kinematic excitation. Accelerometer, vibrometer. 11. Oscillating systems with one degree of freedom. Forced oscillations excited by a general periodic force or strength of the course. Introduction to nonlinear oscillation. 12. Vibration systems with two degrees of freedom, torsional vibration. 13. Bending oscillations, determine the critical speed.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Demonstration
- Preparation for classes
- 70 hours per semester
- Class attendance
- 70 hours per semester
- Preparation for credit
- 10 hours per semester
- Preparation for exam
- 10 hours per semester
- Semestral paper
- 50 hours per semester
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Learning outcomes
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The course emphasis on the theoretical basis of the discussed concepts and derivation of basic relations and relations between concepts. In addition, students gain advanced knowledge in certain topics focusing on the use of related courses in the theoretical basis of studies and master's degree. Mastering the creation of mechanical and mathematical model of the dynamics of basic mechanical system planar and spatial analytical methods of solution. Mastering oscillating systems with two and three degrees of freedom.
Students will gain a broader theoretical background in the field with the ability to derive basic relationships. In addition, students will gain advanced knowledge in some thematic areas with a focus on the use in the following courses. After completing the course, students will be able to build a mechanical and mathematical model of dynamics of mechanical planar and spatial systems together with solution of oscillating systems with 1 and 2 degrees of freedom.
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Prerequisites
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basic knowledge of mathematics and physics, skills to solve mathematical equations
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Assessment methods and criteria
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Combined exam, Seminar work
During the semester, 3 seminar works with solution of 3 examples that correspond to the type of examination. Solving of examples required both in the form of a written solution and in the form of a Matlab program. Solution procedure and results checked by the tutor. Understanding of the topic within the frame given by the plan. Assesment methods and criteria linked to learning outcomes: credit: attendance of seminars, min 75%, passing the test to min 75%. exam: passing the test min 75%, proof of knowledge at the oral exam min 75%.
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Recommended literature
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F.P.Beer, E.R.Johnson: Vector Mechanics for Engineers. Statics and Dynamics. McGraw-Hill, New York 1988.
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K. Dedouch, J. Znamenáček, R. Radil: Mechanika III. Sbírka příkladů, Skriptum FS ČVUT v Praze, Vydavatelství ČVUT, Praha 1998.
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K. Juliš, R. Brepta a kol.: Mechanika II. díl, Dynamika, Technický průvodce, SNTL, Praha 1986.
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M. Valášek a kol.: Mechanika C, rukopis, ČVUT, Praha 2004 - skripta v přípravě.
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V. Stejskal, J. Brousil, S. Stejskal: Mechanika III, Skriptum FS ČVUT v Praze, Vydavatelství ČVUT, Praha 2001.
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Valášek M., Bauma V., Šika Z.: Mechanika B, Skriptum FS ČVUT v Praze, Vyd. ČVUT, 2004.
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Valášek M., Stejskal V., Březina J.: Mechanika A, Skriptum FS ČVUT v Praze, Vyd. ČVUT, 2002.
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