Course detail

Modelling of Machinery Systems

FSI-ZMS-AAcad. year: 2009/2010

This subject yields theoretical and practical knowledge concerning mathematical modeling and computer simulation of mechanical systems for reasons of behavior prediction and optimization possibilities. Following themes are concerned: methods of mathematical modeling of mechanical systems, software means of computer simulation, basis of MATLAB/Simulink, examples of MATLAB/Simulink use in individual areas, characteristic of toolboxes chosen for designers, creation of mathematical and simulation models in chosen mechanical applications.

Language of instruction

English

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. RNDr. Ing. Josef Nevrlý, CSc.

Department

Institute of Machine and Industrial Design (ÚK)

Offered to foreign students

Of all faculties

Learning outcomes of the course unit

List of supposed necessary preliminary knowledge:
mathematics, physics, components and design of machines, mechanics, elasticity of machine parts, fluid mechanics, thermodynamics, electrical engineering – basic knowledge within the extend of the first four years of magister study.

Prerequisites


Mathematics, physics, components and design of machines, mechanics, elasticity of machine parts, fluid mechanics, thermodynamics, electrical engineering – basic knowledge within the extend of the first four years of study.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching of modeling connected with a wider use of computer.

Assesment methods and criteria linked to learning outcomes

The examination consists of two parts: an oral - theoretical part and a practical one on computer (with use of allowed utilities. Both parts of the exam must be evaluated better than by degree F to pass the exam.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Aim of this course is to make students acquainted with basic principles of mathematical modeling and computer simulation of mechanical systems – an interdisciplinary field, dealing with formulation of mathematic-physical relations, describing inner and outer behavior of such systems at their function; aside from this formulation, the further aim is to learn students to implement models practically by means of computer and to draw necessary conclusions from such simulation.

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

Attendance is overseen by tutor, an active taking part in the seminar is a condition for receiving a credit.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Karban P.: Výpočty a simulace v programech Matlab a Simulink. Computerpress, Brno, 2006
Noskievič P.: Modelování a identifikace systémů. Montanex, Ostrava, 2000.
Nevrlý J.: Metodology of Modeling Fluid Power and Lubrication Systems. Wydawnictwo Politechniki Wroclawskiej, Wroclaw, 2005. ISBN 83-7085-848-1.

Recommended reading

http://www.mathworks.com/
http://www.humusoft.cz/

Classification of course in study plans

  • Programme M2I-P Master's

    branch M-KSI , 1. year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

prof. RNDr. Ing. Josef Nevrlý, CSc.

Syllabus

1. Introduction. Methods of mathematical modeling and computer simulation of mechanical systems. Software means of computer simulation of mechanical systems. The MATLAB System basics.
2. Desktop tools and development environment.
3. Programming.
4. Graphics. 3-D visualization.
5. Simulink basics. Creating a model.
6. Working with blocks. Modeling equations.
7. Illustrative examples of MATLAB use in different fields:
mathematics, graphics, 3-D visualization.
8. Characterization of MATLAB toolboxes chosen for designers: Curve Fitting Toolbox, Data Acquisition Toolbox, Optimization Toolbox, Partial Differential Equation Toolbox,
9. Signal Processing Toolbox, Spline Toolbox, Statistics Toolbox, Virtual Reality Toolbox.
10. Characterization of Simulink toolboxes chosen for designers –
SimDriveline: Transmission & Car Models, Clutch Models, Gear Models, Power Loss Models, Flexible Shaft Models, Torsional Spring-Damper.
11. Simhydraulics: Systems, Typical Units, Valves, Actuators, Mechanical Systems.
12. SimMechanics: Robot with Controllers and Virtual Reality Animation, Car Handling.
13. Simple Machines. Machines with Friction. Stateflow.

Computer-assisted exercise

26 hours, compulsory

Teacher / Lecturer

prof. RNDr. Ing. Josef Nevrlý, CSc.

Syllabus

1. Basic properties of alternating current signal. Volume work at compression.
2. Calculation of pneumatic cylinder. Vane pneumatic motor. Radial piston pneumatic motor.
3. Pressure vessel, gas state equation. Thermal relations inside of gas tank.
4. Uniform rectilinear motion of mass body. Uniformly accelerated rectilinear motion.
5. Motion on inclined plane. Mathematical pendulum. Vertical cast upwards.
6. Free fall of body. Ballistic curve of projectile. Bend of semibeam.
7. Deflection of double-sided supported beam. Winding mechanism. Dynamics of driver’s seat.
8. Stabilizing of platform on undercarriage. Control of road grader ploughshare.
9. Orbital motion of satellite. Development of liquid level elevation in tank. Development of liquid levels elevations in two interconnected tanks.
10. Transient characteristics of dynamic systems of the 1th order.
Transient characteristics of dynamic systems of the 2nd order.
11. Frequency characteristics of dynamic systems of the 2nd order.
Transient characteristics of PID controller.
12. Control circuit equipped by continuous PID controller. Stability region of control circuit.
13. DC separately excited electric motor. DC electric motor excited by permanent magnets.