Course detail

Computer Methods in Dynamics

FSI-RPMAcad. year: 2017/2018

The course is focused on oscillation of mechanical systems. The lectures deal with analytical dynamics of discrete systems, forced oscillations of mechanical systems with one degree of freedom, vibration of discrete mechanical systems with n-degrees of freedom, reduction of degrees of freedom, vibration of continuous systems, approximate methods of solution of continuous systems. The aim of the course is to provide students with good knowledge of oscillation of mechanical systems and the possibility to solve them by using numerical methods.

Learning outcomes of the course unit

The course will provide students with knowledge necessary to solve the kinematics and dynamics problems of planar multi body systems with N degree of freedom. The students will be able analysed a natural frequency and response of excited dynamic systems. The students will analyse an oscillation of continuum and solve this system using FEM and MBS.

Prerequisites

Students are expected to have the following knowledge: linear algebra, differentiation, integration, solution of differential equations, matrix arithmetic, basic programming, particular mathematical software (MATLAB), basic statistics, elasticity, fundamental principles of dynamics, formation of kinetic equations of plane motion and solution of free oscillating systems with one degree of freedom.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Meirovitch,L.: Elements of Vibration Analysis, 2002
Slavík,J.,Stejskal,V.,Zeman,V.: Základy dynamiky strojů, ČVUT Praha, 2000.
Harris,C., Piersol, A., G.: Shock and Vibration Handbook, McGRAW-HILL New York, 2002.

Planned learning activities and teaching methods

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

Assesment methods and criteria linked to learning outcomes

Written part of the examination plays a decisive role, where the maximum of 100 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 familiarises students with methods of determination of the natural frequencies and modal vectors of discrete and continuous systems.

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. One absence can be compensated for by elaboration of substitute tasks.

Classification of course in study plans

  • Programme M2A-P Master's

    branch M-IMB , 1. year of study, winter semester, 5 credits, compulsory
    branch M-MET , 1. year of study, winter semester, 5 credits, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Introduction. Modelling of mechanical systems.
2. Introduction. Numerical solver.
3. Oscillation of one degree of freedom systems - damping models.
4. Oscillation of one degree of freedom systems - excitation models.
5. Oscillation of one degree of freedom systems - natural frequency and response.
6. Oscillation of one degree of freedom systems - alternative dynamics models.
7. Oscillation of n-degree of freedom systems - free oscillations.
8. Oscillation of n-degree of freedom systems - excited oscillation.
9. Oscillation of n-degree of freedom systems - natural frequencies and response.
10. Oscillation of bars and beams.
11. Oscillation of rectangular and circular membranes.
12. Oscillation of rectangular and circular plates.
13. Solving methods of dynamics systems.

Computer-assisted exercise

26 hours, compulsory

Teacher / Lecturer

Syllabus

1. Introduction. Modelling of mechanical systems - MATLAB environment.
2. Introduction. Numerical solver - MATLAB environment.
3. Dynamic models of one degree of freedom systems.
4. Natural frequency and response.
5. Solving of dynamics models.
6. Analyses of dynamic systems in MATLAB environment.
7. Dynamic model of multi-body system in SimMechanics.
8. Dynamic model of multi-body system with one DOF in ADAMS.
9. Dynamic model of multi-body system in ADAMS.
10. Oscillation of bars and beams.
11. Oscillation of rectangular and circular membranes.
12. Oscillation of rectangular and circular plates.
13. FEM methods of dynamics systems.