English

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doc. Ing. Stanislav Věchet, Ph.D.

Institute of Solid Mechanics, Mechatronics and Biomechanics

Solving linear equations. Trigonometry and analytic geometry. Differentiation and integration of one variable. Vector algebra. Vector representation of forces and moments. Free body diagrams. Solving homogeneous and general the 2nd order linear differential equations.

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. The first part of the examination is theoretical test which covers the topic discussed during whole seminars and lectures (maximum 40 ECTS points can be achieved). The second part is numeric solution of two practical problems form dynamics (maximum 40 ECTS points can be achieved).

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.

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

The objective of the course Dynamics is to familiarize students with basic principles of mechanics as well as methods applied for dynamic solving of mechanical systems. The emphasis is on understanding the physical principles governing motion of rigid bodies and applying them to solve simple technical problems in practice.
Dynamics deals with the relationship between motions and forces. Students will be able to analyze motion equations of a particle, body and multi-body systems. Students will solve problems of systems of rigid bodies using dynamic laws and Lagrange's equations. Students will solve a simple linear oscillation system.

Programme B-STI-A: Fundamentals of Mechanical Engineering, Bachelor's, compulsory

Programme B-STI-Z: Fundamentals of Mechanical Engineering, Bachelor's, recommended course

14 hours, compulsory

Motion equations of a mass point

Motion equations of a system of maspoints

Dynamics of system of mass bodies

Methods of solving a movement of system of mass bodies (Newton's method, Lagrange’s equation of motion, etc.)

Excited oscillation of system with one degree of freedom