Course detail

Mechanics 3

FSI-RE3Acad. year: 2007/2008

The course "Mechanics 3" makes the students acquaint with basic axioms, laws and principles of theoretical and applied mechanics. Gradually students go over the following areas of dynamics: basic axioms, general dynamics of a particle, dynamics of a system of particles, dynamics of rigid bodies, moments and products of inertia of rigid bodies, dynamics of a system of rigid bodies, fundamentals of analytical dynamics, linear vibration of systems with one and n degrees of freedom, introduction to the nonlinear vibration, elementary theory of direct impact of points.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Lubomír Houfek, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

The course “Mechanics 3” is intended to help students master the fundamental approaches to solving dynamic problems in technical practice. Gained knowledge will enable them to understand the subject-matter of courses on mechanics in all branches studied at the faculty.

Prerequisites

Solving system of linear and nonlinear equations. Analytic geometry. Differentiation and integration. Vector algebra. Vector representation of forces and moments. Releasing of bodies. Solving ordinary differential equations.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Assessment methods
The course-unit credit is granted under the condition of: Active participation in seminars, good results in seminar tests of basic knowledge (three written tests during semester are recommended), solution of additional tasks in case of longer justified absence. Seminar tutor will specify these conditions in the first week of a semester.
Final evaluation is based on the result of examination, which has a combined form: written part (test of elementary knowledge + computational tasks) and oral part (discussion on written part with supplementary questions). It is necessary to have at least 50% of points in the test to pass the introductory part of the exam. The solution of 2-3 computational tasks follows then, the tasks come from typical profile areas of given subject. One of them can be supplied by theoretical question, proof, etc. The result of each task is evaluated from A (excellent) to F(failed). To pass the exam, only one task of all can be evaluated by F(failed), at the most.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The objective of the course "Mechanics 3" is to familiarize students with basic principles of mechanics as well as methods applied for dynamic solving of mechanical systems. Students will be able to solve technical problems in practice.

Specification of controlled education, way of implementation and compensation for absences

Attendance is required. One absence can be compensated by attending a seminar with another group in the same week, or by elaboration of substitute tasks. Longer absence may be compensated for via special tasks according to instructions of the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Slavík J., Stejskal V., Zeman V.: Základy dynamiky strojů
Slavík J., Kratochvíl C.: Dynamika

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B3904-00 , 3. year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Robert Grepl, Ph.D.

Syllabus

1. Dynamics of a particle, relative motion of a particle.
2. Dynamics of systems of particles, moments and products of inertia.
3. Mechanics of rigid bodies, translational motion, rotation about a fixed axis.
4. General plane motion.
5. Three-dimensional motion of a rigid body, rotation about a fixed point.
6. System of constrained rigid bodies. Methods of solutions.
7. Introduction to analytical dynamics. Lagrange's equations of motion.
8. Linear vibrations. Single-degree-of-freedom systems.
9. Forced vibrations of single-degree-of-freedom systems.
10.Multiple-degree-of-freedom systems. Forced vibrations of multiple-degree-of-freedom systems.
11.Introduction to the theory of non-linear vibrations.
12.Elemental theory of impact.
13.Experimental mechanics

Exercise

26 hours, compulsory

Teacher / Lecturer

doc. Ing. Robert Grepl, Ph.D.
Ing. Pavel Švejda

Syllabus

1. Setting up of equations of motion of a particle.
2. Solving of motion of a particle.
3. Dynamics of systems of particles, method of release, impulse theorems.
4. Moments and products of inertia.
5. Translational and rotational movement of rigid bodies.
6. General plane motion of rigid bodies. Rotation about a fixed point.
7. Spherical Motion of Rigid Body.
8. System of constrained rigid bodies.
9. Lagrange’s equation of motion.
10.Linear vibrations. Single degree of a freedom system.
11.Forced vibrations. Single degree of a freedom system.
12.System vibration with two degree of freedom.
13.Revision lesson summarising the lectures.