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Rigid Body Mechanics

Type of study Bachelor
Language of instruction Czech
Code 330-3302/03
Abbreviation MTT
Course title Rigid Body Mechanics
Credits 4
Coordinating department Department of Applied Mechanics
Course coordinator doc. Ing. Zdeněk Poruba, Ph.D.

Subject syllabus

1. Kinematics of a Particle. Fundamental Relations and Basic Types of Motion with Respect to Their Time Dependence.
2. Dynamics of a Particle. Equation of Motion, d’Alembert’s Principle, Laws of Change.
3. Motion of a Particle Along a Curvilinear Path.
4. Motion of a Rigid Body – Types of Motion. Translational Motion of a Rigid Body – Kinematics and Dynamics.
5. Rotational Motion of a Rigid Body – Kinematics and Dynamics. Mass Geometry.
6. General Plane Motion of a Rigid Body – Kinematics. Kinematic Geometry, Instantaneous Centre Construction. Analytical Solution of Kinematics.
7. General Plane Motion of a Rigid Body – Kinematics. Basic Decomposition into Translation and Rotation. Theory of Simultaneous Motions. Dynamics of General Plane Motion.
8. Mechanisms – Classification and Types of Mechanisms. Mechanisms with a Constant Transmission Ratio – Kinematics.
9. Mechanisms with a Constant Transmission Ratio – Dynamics. Free-Body Method, Reduction Method.
10. Mechanisms with a Variable Transmission Ratio – Kinematics and Dynamics.
11. Free Vibration of a Single-Degree-of-Freedom System.
12. Forced Vibration of a Single-Degree-of-Freedom System.
13. Dynamics of Relative Motion, Fundamentals of Impact Theory, Reactive Motion.

Literature

[1] RUINA, Andy a PRATAP, Rudra. Introduction to Statics and Dynamics. Online. Oxford: Oxford University Press, 2010. Dostupné z: https://archive.org/details/ost-engineering-ruinapratap8-21-10/mode/2up. [cit. 2025-03-03].
[2] RUSSEL C., Hibbeler. Engineering Mechanics. Dynamics. Fifteenth edition. Pearson, 2022. ISBN 978-0-13-481498-8 .

Advised literature

[1] GINSBERG, Jerry H. Engineering dynamics. New York: Cambridge University Press, 2008. ISBN 978-0-521-88303-0.
[2] MERIAM, James L.; KRAIGE, L. G. a PALM, William J. Engineering mechanics. Volume 2, Dynamics. 5th ed. New York: Wiley, c2002. ISBN 0-471-40645-7 .