Course detail

Dynamics

FSI-5DTAcad. year: 2024/2025

The course “Dynamics” makes the students acquaint with basic axioms, laws and principles of theoretical and applied mechanics. Gradually students go over the following areas of dynamics: basic axioms, general dynamics of a particle, dynamics of a system of particles, dynamics of rigid bodies, moments and products of inertia of rigid bodies, dynamics of a system of rigid bodies (planar models), fundamentals of analytical dynamics (Lagrange’s Equations), linear vibration of systems (free, damped and forced vibrations with one degrees of freedom).

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Entry knowledge

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.

Rules for evaluation and completion of the course

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.

Aims

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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Harris V.,M., Crede Ch.: Shock and Vibration Handbook, 2005 (EN)
Meirovitch, L.: Elements of Vibration Analysis, 2005 (EN)
Brousil J.,Slavík J.,Zeman V. : Dynamika, 2002 (CS)
Slavík J.,Kratochvíl C.: Dynamika, 2005 (CS)
Slavík J.,Stejskal V.,Zeman V.: Základy dynamiky strojů, 2000 (CS)

Recommended reading

Not applicable.

Elearning

Classification of course in study plans

  • Programme B-MET-P Bachelor's 3 year of study, winter semester, compulsory
  • Programme B-VTE-P Bachelor's 3 year of study, winter semester, compulsory

  • Programme B-ZSI-P Bachelor's

    specialization STI , 3 year of study, winter semester, compulsory

  • Programme C-AKR-P Lifelong learning

    specialization CZS , 1 year of study, winter semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

Dynamics of a mass point and system of mass points

Mass body(ies) geometry and dynamics of mass body and

Dynamics of system of mass bodies, multi-body systems applications

Introduction to analytical mechanics

Single degree of freedom system oscilations

Oscillation of dynamic systems with N DOF

Exercise

12 hod., compulsory

Teacher / Lecturer

Syllabus

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

Computer-assisted exercise

14 hod., compulsory

Teacher / Lecturer

Syllabus

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

Elearning