Course detail

Kinematics

FSI-4KIAcad. year: 2007/2008

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

doc. Ing. Karel Přikryl, CSc.

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

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 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

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

Recommended reading

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

Classification of course in study plans

  • Programme B2341-3 Bachelor's

    branch B2339-00 , 2. year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Krejsa, Ph.D.
prof. Ing. Eduard Malenovský, DrSc.
doc. RNDr. Karel Pellant, CSc.

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.

Exercise

26 hours, compulsory

Teacher / Lecturer

Ing. Lukáš Březina, Ph.D.
Ing. Tomáš Lasota, Ph.D.
Ing. Petr Lošák, Ph.D.
doc. Ing. Vojtěch Mišun, CSc.
Ing. Lukáš Pohanka, Ph.D.
Ing. Pavel Švancara, Ph.D.

Syllabus

1. Rectilinear and curvilinear motion of a point.
2. Kinematics of a rigid body. Orthogonal transformations of kinematics quantities.
3. Strait motion of a rigid body.
4. Rotation about a fixed axis.
5. Absolute general plane motion, analytical analysis.
6. Absolute general plane motion, graphical analysis.
7. Kinematics geometry.
8. Spherical motion of a rigid body. Two components of an angular acceleration.
9. General spatial motion of a rigid body. Screw motion.
10.Relative motion analysis.
11.Coeval rotary motion, gears.
12.Graphical analysis of planar mechanisms. Linkages with a cams.
13.Analytical analysis of planar mechanisms.