Mathematical Modeling of Machine Mechanisms (FSI-9MBO)

Academic year 2021/2022
Supervisor: doc. Ing. Petr Porteš, Ph.D.  
Supervising institute: ÚADI all courses guaranted by this institute
Teaching language: Czech or English
Aims of the course unit:
The aim of the course is to make students familiar with theoretical and practical knowledge of multi-body software. They will learn of multi-body software and its development trends.
Learning outcomes and competences:
Students will have a clear idea of which problems are possible to solve with the multi-body software, what data are necessary, what outputs they are able to get. Students will also acquire the necessary knowledge to enable them to independently create multi-body models using software tools.
Prerequisites:
Matrix theory, basic knowledge of numerical mathematics, fundamentals of technical mechanics, kinematics and dynamics.
Course contents:
Using multi-body software significantly reduces the time needed to develop machine mechanisms. Prototypes enable to prove and optimize vehicle properties before a real prototype is made . Engineers mastering this area are demanded on the labour market. Students in this course will be made familiar with theoretical but also practical knowledge in this field. Software ADAMS was chosen for the practical part of the course, as it is one of the most widely used software for dynamics analysis of mechanical systems.
Teaching methods and criteria:
The course is taught through lectures explaining the basic principles and theory of the discipline. In the practical part of the course the student processes a project focused on the calculation of the properties of the mechanism. Students using the ADAMS software will create a model of the mechanism and perform calculations. The results are analyzed and evaluated. During the project the student consults his / her solution with the teacher.
Assesment methods and criteria linked to learning outcomes:
During the examination the knowledge of the theory and its application in the project solved during the course is examined and evaluated.
The exam consists of a written part (of the test) and an oral part. Final evaluation consists of: 1. Evaluation of the project. 2. The result of the test (of the written part). 3. The result of the oral part of the exam.
Controlled participation in lessons:
Consultation of the project.
Type of course unit:
    Lecture  10 × 2 hrs. optionally                  
Course curriculum:
    Lecture 1. Introduction (multi-body formalism and other technologies, basic types of models).
2. Basic elements of multi-body system simulation software and modelling process.
3. Reference frames, location and orientations methods.
4. Numerical Solution - Nonlinear system of Equations.
5. Numerical Solution - System of ordinary Differential Equations.
6. Closed kinematic chains - Redundant coordinate problem.
7. Number of Degrees of Freedom - Impact on Modelling.
8. Analysis.
9. Software Solution.
10. New trends.
Literature - fundamental:
1. STEJSKAL, V., VALÁŠEK, M. Kinematics and dynamics of machinery. Marcel Dekker, Inc. 1996. ISBN 0-8247-9731-0
2. SCHIEHLEN, W. (ed.) Multibody Systems Handbook. Berlin: Springer-Verlag, 1990
3. ADAMS/View. [on-line Adams software manual] MSC.Software Corporation.
4. ADAMS/Solver. [on-line Adams software manual] MSC.Software Corporation.
Literature - recommended:
1. STEJSKAL, V., VALÁŠEK, M. Kinematics and dynamics of machinery. Marcel Dekker, Inc. 1996. ISBN 0-8247-9731-0.
2. SCHIEHLEN, W. (ed.) Multibody Systems Handbook. Berlin: Springer-Verlag, 1990
3. MCCONVILLE, James B. Introduction to mechanical system simulation using Adams. Mission: SDC Publications, 2015. MSC Software. ISBN 978-1-58503-988-3.
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
D-IME-P full-time study --- no specialisation -- DrEx 0 Recommended course 3 1 W
D-KPI-P full-time study --- no specialisation -- DrEx 0 Recommended course 3 1 W
D-APM-P full-time study --- -- DrEx 0 Recommended course 3 1 W
D-APM-K combined study --- -- DrEx 0 Recommended course 3 1 W
D-IME-K combined study --- no specialisation -- DrEx 0 Recommended course 3 1 W
D-KPI-K combined study --- no specialisation -- DrEx 0 Recommended course 3 1 W