Course detail

Mechanics 2

FSI-RE2Acad. year: 2007/2008

Mechanics 2 deals mainly with kinematics ie. science that deals with the
motion of bodies irrespective of the forces causing the motion. Solid
bodies have geometric properties only. From solving the position of a
point, a solid body and systems of solid bodies we proceed to the
specification of velocity, acceleration, angle velocity and angle
acceleration. We solve translatory, rotary, spherical and general
motiones. Absolute and relative acceleration and velocity are solved as
well. Obtained knowledge is used for solving kinematics of mechanisms.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Jiří Krejsa, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Learning outcomes of the course unit

Students will be able to analyze movement from kinematic point of view and solve it as well. The will be able to analyse mechanisms and based on the given position determine velocity and acceleration of arbitrary point in arbitrary time.

Prerequisites

Calculus (fundamentals)
Vectors, matrices
determination of DOF of single/multi body systems, links

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

Course-unit credit requirements:
- successful passing of check tests during the semester
- active participation in the seminars.
- solving additional tasks in case of excused absence

Exam requirements:
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 3 computational tasks follows then, the tasks are: kinematic variables dependency, mechanism, planetary gear. 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

Mechanics 2 will teach the students to formulate the movement definition correclty, i.e. determine the way of setting the position of point, solid of system of solids in arbitrary time. Based on position task solving the remaining kinematic variables are determined, necessary for further dynamic solution. Computational approach is preferred.

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

Attendance at practical training is obligatory. Attendance is checked systematically by the teachers, as well as students’ active participation in the seminars and fundamental knowledge. Unexcused absence is the cause for not awarding the course-unit credit. One absence can be compensated for by attending a seminar with another study group in the same week, or by solving supplemental tasks. Longer absence may be compensated for by solving supplemental tasks according to teacher‘s requirements.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Přikryl: Kinematika

Recommended reading

Přikryl, Malenovský - Úlohy z kinematiky
Malenovský - Kinematika - předřešené grafické úlohy

Classification of course in study plans

  • Programme B3901-3 Bachelor's

    branch B3904-00 , 2. year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Krejsa, Ph.D.

Syllabus

1. Point kinematics, Harmonic movement.
2. Orthogonal transformation of vector variables.
3. Body kinematics, Translation movement.
4. Rotational movement of the body along steady axis.
5. General planar movement.
6. Kinematic geometry
7. Spherical movement of the body.
8. General body movement in space, helical motion.
9.Composed movement.
10.Concurrent rotations.
11.Kinematic solution of mechanisms, Mechanisms classification.
12.Analytical solution of planar mechanisms.
13.Cam mechanisms. Substitution mechanisms. Coriolis method.

Exercise

26 hours, compulsory

Teacher / Lecturer

doc. Ing. Jiří Krejsa, Ph.D.

Syllabus

1. Direct and curvilinear point motion.
2. Body kinematics. Orthogonal transformation of kinematic variables.
3. Translation motion of a body.
4. Rotational motion of a body around steady axis.
5. General planar body motion - computational analysis.
6. Graphical solution of general planar body motion.
7. Kinematic geometry.
8. Spherical body motion. Two elements of angular acceleration and its determination.
9.Composite motion of point and body. Graphical determination of Coriolis acceleration.
10.Concurrent rotations of bodies. Kinematics of gearboxes.
11.Kinematic solution of mechanisms - graphic approach.
12.Analytical solution of planar mechanism.
13.Cam mechanisms.