Course detail

Mathematical Modeling of Machine Mechanisms

FSI-9MBOAcad. year: 2024/2025

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.

Language of instruction

Czech

Mode of study

Not applicable.

Guarantor

doc. Ing. Petr Porteš, Ph.D.

Department

Institute of Automotive Engineering (ÚADI)

Entry knowledge

Matrix theory, basic knowledge of numerical mathematics, fundamentals of technical mechanics, kinematics and dynamics.

Rules for evaluation and completion of the course

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.
Consultation of the project.

Aims

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.
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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

ADAMS/Solver. [on-line Adams software manual] MSC.Software Corporation. (EN)
ADAMS/View. [on-line Adams software manual] MSC.Software Corporation. (EN)
SCHIEHLEN, W. (ed.) Multibody Systems Handbook. Berlin: Springer-Verlag, 1990 (EN)
STEJSKAL, V., VALÁŠEK, M. Kinematics and dynamics of machinery. Marcel Dekker, Inc. 1996. ISBN 0-8247-9731-0 (EN)

Recommended reading

MCCONVILLE, James B. Introduction to mechanical system simulation using Adams. Mission: SDC Publications, 2015. MSC Software. ISBN 978-1-58503-988-3. (EN)
SCHIEHLEN, W. (ed.) Multibody Systems Handbook. Berlin: Springer-Verlag, 1990 (EN)
STEJSKAL, V., VALÁŠEK, M. Kinematics and dynamics of machinery. Marcel Dekker, Inc. 1996. ISBN 0-8247-9731-0. (EN)

Classification of course in study plans

  • Programme D-APM-P Doctoral 1 year of study, winter semester, recommended course
  • Programme D-IME-P Doctoral 1 year of study, winter semester, recommended course
  • Programme D-KPI-P Doctoral 1 year of study, winter semester, recommended course
  • Programme D-APM-K Doctoral 1 year of study, winter semester, recommended course
  • Programme D-IME-K Doctoral 1 year of study, winter semester, recommended course
  • Programme D-KPI-K Doctoral 1 year of study, winter semester, recommended course

Type of course unit

 

Lecture

20 hod., optionally

Teacher / Lecturer

doc. Ing. Petr Porteš, Ph.D.

Syllabus

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.