Course detail
Mathematical Modeling of Machine Mechanisms
FSI-9MBO Acad. year: 2024/2025 Both semester
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
Supervisor
Department
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.
The study programmes with the given course
Programme D-KPI-K: Design and Process Engineering, Doctoral, recommended course
Programme D-KPI-P: Design and Process Engineering, Doctoral, recommended course
Programme D-IME-K: Applied Mechanics, Doctoral, recommended course
Programme D-IME-P: Applied Mechanics, Doctoral, recommended course
Programme D-APM-P: Applied Mathematics, Doctoral, recommended course
Programme D-APM-K: Applied Mathematics, Doctoral, recommended course
Type of course unit
Lecture
20 hours, optionally
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.