Course detail

Kinematics

FSI-4KIAcad. year: 2010/2011

Kinematics, as a part of mechanics, is a science that deals with the motion of bodies irrespective of the forces causing the motion. Solids have only geometric properties that are constant. In kinematics, the solid is immaterial; it is a model solid. This course covers the analysis of motions of particle and rigid bodies. Topics include kinematics with absolute and relative motions of rigid bodies in translation, rotation, spherical and general plane motion using translating and rotating axes. Gained acquirements are apply to solving mechanisms in motion. Mechanisms are solved both graphically and numerically. Kinematics geometry is applied as well.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Eduard Malenovský, DrSc.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

The students will be able to analyse the movement from the point of view of kinematics and to carry out its solving. They will be able to analyse mechanisms, and on the basis of a set position determine the rate of change of the position and velocity in arbitrary time of moment. With regard to exploitation of matrix arithmetic, the student will be able to solve kinematic problems with the use of computers.

Prerequisites

Solving of simultaneous linear and quadratic equations. Trigonometry and analytic geometry. Differentiation and integration in one variable. Vector algebra. Matrix algebra. Descriptive geometry.

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

The course-unit credit is granted under the condition of active participation in seminars and passing the seminar tests of basic knowledge (at least 15 ECTS points out of 30 must be gained). The points gained in seminar tests are included in the final course evaluation.

Final examination: Written part of the examination plays a decisive role, where the maximum of 70 ECTS points can be reached. Solution of several computational problems is demanded. The problems come from typical profile areas of given subject and can be supplied by a theoretical question, proof, etc. The lecturer will specify exact demands like the number and types problems during the semester preceding the examination.

Final evaluation of the course is obtained as the sum of ECTS points gained in seminars and at the examination. To pass the course, at least 51 points must be reached.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The course “Kinematics” is aimed at proper formulation of setting of motion, i.e. the students have to be able to determine how to set the position of a point, rigid body, or a system of rigid bodies, in any instant of time. On the basis of a position solving, other kinematic quantities are to be determined. Determination of the kinematic quantities is necessary for further dynamic solving. Count methods are preferred.

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 is compensated by special tasks according to instructions of the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Brát V.: Maticové metody, 2001
Brát V.,Rosenberg J., Jáč V.: Kinematika, 2002
Meriam J.L: Engineering Mechanics Vol.2, 2005

Recommended reading

Malenovský E.: Kinematika, předřešené úlohy, 2000
Přikryl K.: Kinematika, 2005
Přikryl, K., Malenovský, E., Úlohy z kinematiky, 2005

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B-MET , 2 year of study, summer semester, compulsory

  • Programme B2341-3 Bachelor's

    branch B-STI , 2 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Eduard Malenovský, DrSc.
doc. Ing. Jiří Krejsa, Ph.D.

Syllabus

1. Kinematics of a particle, harmonic motion.
2. Orthogonal transformations of vector quantities.
3. Kinematics of rigid bodies,translational motion.
4. Rotation about a fixed axis.
5. Absolute general plane motion, analytical analysis.
6. Absolute general plane motion, graphical analysis.
7. Kinematics geometry.
8. Three-dimensional motion of a rigid body. Rotation about a fixed point.
9. General three-dimensional motion of a rigid body.Screw motion.
10.Relative motion analysis. Coexistent rotary motion, gears.
11.Kinematics of planar mechanisms. Graphical analysis.
12.Kinematics of planar mechanisms. Analytical analysis.
13.Linkages with a cam. Alternate linkages. Coriolis's method.

Computer-assisted exercise

14 hod., compulsory

Teacher / Lecturer

Ing. Petr Marcián, Ph.D.
Ing. Martin Stodola, Ph.D.
Ing. Daniel Dušek, Ph.D.
Ing. Miroslav Žatko, Ph.D.
Ing. Tomáš Ripel, Ph.D.
Ing. Jiří Valášek, Ph.D.
Ing. Michal Matug, Ph.D.
Ing. Lukáš Březina, Ph.D.

Syllabus

1. Rectilinear and curvilinear motion of a point.
2. Kinematics of a rigid body. Orthogonal transformations of kinematics quantities.
3. Absolute general plane motion, analytical analysis.
4. General spatial motion of a rigid body. Screw motion.
5.Relative motion analysis.
6.Coeval rotary motion, gears.
7. Analytical analysis of planar mechanisms.

Exercise

12 hod., compulsory

Teacher / Lecturer

Ing. Petr Marcián, Ph.D.

Syllabus

1. Rectilinear and curvilinear motion of a point.
2. Kinematics of a rigid body. Orthogonal transformations of kinematics quantities.
3. Absolute general plane motion, graphical analysis.
4. Kinematics geometry.
5. Spherical motion of a rigid body. Two components of an angular acceleration.
6.Graphical analysis of planar mechanisms. Linkages with a cams.