Course detail

Mathematical Modeling of Machine Mechanisms

FSI-9MBOAcad. year: 2020/2021

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.

Learning outcomes of the course unit

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.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

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

Planned learning activities and teaching methods

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.

Language of instruction

Czech, English

Work placements

Not applicable.

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.

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

Consultation of the project.

Classification of course in study plans

  • Programme D-APM-K Doctoral, 1. year of study, winter semester, 0 credits, recommended
  • Programme D-IME-P Doctoral, 1. year of study, winter semester, 0 credits, recommended

  • Programme D4P-P Doctoral

    branch D-APM , 1. year of study, winter semester, 0 credits, recommended

  • Programme D-KPI-P Doctoral, 1. year of study, winter semester, 0 credits, recommended

Type of course unit

 

Lecture

20 hours, optionally

Teacher / Lecturer

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.