Course detail

Kinematics

FSI-4KIAcad. year: 2019/2020

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

Learning outcomes of the course unit

The students will be able to analyse the movement from the point of view of kinematics and to perform the solution of motion variables determination. They will be able to analyse mechanisms, and on the basis of a set position determine the velocity and acceleration in arbitrary moment of time. As the matrix arithmetic is used during the analysis, the student will be able to solve kinematic problems using the computers.

Prerequisites

The student must be capable of solving the set of linear and quadratic equations. Trigonometry and analytic geometry. Calculus (differentiation and integration) in one variable. Vector algebra. Matrix algebra. Descriptive geometry.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Meriam J.L: Engineering Mechanics Vol.2, 2005
Přikryl, K., Malenovský, E., Úlohy z kinematiky, 2005
Přikryl K.: Kinematika, 2005
Brát V.,Rosenberg J., Jáč V.: Kinematika, 2002
Malenovský E.: Kinematika, předřešené úlohy, 2000
Brát V.: Maticové metody, 2001

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

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 10 ECTS points out of 20 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 80 ECTS points can be reached. Solution of several computational problems is demanded. The problems come from typical profile areas of given subject and 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 50 points must be reached.

Language of instruction

Czech

Work placements

Not applicable.

Aims

The course is aimed at proper formulation of motion definition, 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 task solution other kinematic quantities (velocities and accelerations) are to be determined. Determination of the kinematic quantities is necessary for further dynamic solving. Computational methods are preferred.

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

Attendance at practical training is obligatory. Head of seminars carry out continuous monitoring of student's presence, their activities and basic knowledge.

Classification of course in study plans

  • Programme B3A-P Bachelor's

    branch B-MET , 2. year of study, summer semester, 5 credits, compulsory

  • Programme B3S-P Bachelor's

    branch B-STI , 2. year of study, summer semester, 5 credits, compulsory

  • Programme M2I-P Master's

    branch M-LPR , 1. year of study, summer semester, 5 credits, compulsory-optional

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

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

12 hours, compulsory

Teacher / Lecturer

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.

Computer-assisted exercise

14 hours, compulsory

Teacher / Lecturer

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.

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