Course detail
Computer Methods in Dynamics
FSI-RPM Acad. year: 2018/2019 Winter semester
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.
Language of instruction
Czech
Number of ECTS credits
5
Supervisor
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.
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.
Aims
The course familiarises students with methods of determination of the natural frequencies and modal vectors of discrete, MBS 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.
The study programmes with the given course
Programme M2A-P: Applied Sciences in Engineering, Master's
branch M-IMB: Engineering Mechanics and Biomechanics, compulsory
Programme M2A-P: Applied Sciences in Engineering, Master's
branch M-MET: Mechatronics, compulsory
Type of course unit
Lecture
26 hours, optionally
Teacher / Lecturer
Syllabus
1. Introduction. Modelling of mechanical systems.
2. Simulation modeling of dynamics.
3. Oscillation of one degree of freedom systems – damping and excitation.
4. Oscillation of one degree of freedom systems – state space model and transfer function.
5. Oscillation of one degree of freedom systems – natural frequency and response.
6. Oscillation of n-degree of freedom systems
7. Oscillation of n-degree of freedom systems – natural frequencies and response.
8. Physical models of n-degree of freedom systems.
9. Multi-body systems.
10. Oscillation of bars and beams.
11. Oscillation of rectangular and circular membranes and plates.
12. Damping models of dynamic systems.
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. Modelling of mechanical systems – SIMULINK.
3. Dynamic models of one degree of freedom systems.
4. Natural frequency and harmonic response.
5. Response 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.