Course detail

Computer Simmulation in Automotive Industry I

FSI-QPAAcad. year: 2017/2018

This course makes students familiar with the most important current computational models used for the development of state-of-the-art combustion engines of motor vehicles. The stress is laid upon the mathematical and physical rudiments of calculation models and the respective software as well as the verification of results of the computer modelling by way of appropriate experimental methods. Finite Element Method (FEM) application, static problems. Dynamic multi-degree-of-freedom systems, modal analysis. Computational analysis of multi-degree-of-freedom forced oscillations. Experimental modal analysis and motion shape analysis. Torsional systems dynamics, natural frequency, forced oscillations. Torsional systems and transmissions, elastic couplings in torsional systems. Crankshaft torsional vibrations, energetic computational methods. Dynamic systems tuning, dynamic dampers application. Elastic machine bedding, elasticity midpoint, central axis of elasticity. Continuum dynamics fundamentals, longitudinal spar oscillations, wave equation. Beam bending oscillations, shaft wheeling oscillations. Membrane and plate oscillations, acoustic problems. Thermodynamic models of real working cycles of internal combustion engines.

Learning outcomes of the course unit

The course Computational Methods enables students learn of state-of-the-art computational models aplied to ICE and vehicle design for digital data processing, experimental mechanic structures modal analyses, FEM applications, dynamic multi-degree-of-freedom systems, forced oscillations, fluttering, elastic machine bedding, camshaft mechanism models and continuum dynamics fundamentals.


Matrix calculus, differential and integral calculus, differential equations. Technical mechanics, kinematics, dynamics, elasticity and strength. Fourier analysis and Fourier transformation. Finite Element Method fundamentals.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Assesment methods and criteria linked to learning outcomes

Requirements for Course-unit credit award:
The orientation within problems discussed and the ability of solving them, examined by working-out assigned tasks without significant mistakes, . Continuous study checking is carried out together with given tasks verification.
The exam verifies and evaluates the knowledge of physical fundamentals of presented problems, theirs mathematical description on a presented level and application to solved tasks. The exam consists of a written part (test) and an oral part.
Final evaluation consists of:
1. Evaluation of the work on seminars (elaborated tasks).
2. Result of the writing part of the exam (test).
3. Result of the oral part of the exam...

Language of instruction


Work placements

Not applicable.


The objective of the course is to male students familiar with actual computational models applied for solving various types of tasks related to internal combustion engines (ICE) and motor vehicles development. The aim of the course is to explain students mathematical and physical fundamentals of computational models, which are very often built up to ready-to-use software level.

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

Attendance in seminars is obligatory, checked by a teacher. The way of compensation of absence is solved individually with a subject provider.

Classification of course in study plans

  • Programme M2I-P Master's

    branch M-ADI , 1. year of study, winter semester, 6 credits, compulsory-optional

Type of course unit



26 hours, optionally

Teacher / Lecturer


1. Application of finite element method, static problems.
2. Dynamic systems with multiple degrees of freedom, modal analysis.
3. Experimental modal analysis and shape analysis of movement.
4. The calculation of forced vibrations of systems with many degrees of freedom.
5. Torsional system dynamics, natural frequency, forced oscillations.
6. Torsional systems with gears, flexible couplings in torsional systems.
7. Tuning of dynamic systems, applications of dynamic dampers.
8. Pendulum eliminators of torsional vibration of crankshaft.
9. Elastic mounting of machine, elasticity center, the main axes of elasticity.
10. Basis of continuum dynamics, longitudinal rod vibrations, wave equation.
11. Bending vibrations of beams, circular shaft vibrations, vibration of membranes and plates. Acoustic problems.
12. Thermodynamic models of real working cycles of internal combustion engines, combustion models.
13. Models of heat transfer in cylinders and models of exchange of the cylinder charge.

Computer-assisted exercise

39 hours, compulsory

Teacher / Lecturer


1. Analytical and numerical methods. Finite elements method (FEM). Principle, solved problem types. Used software.
2. FEM problem solution consecution. Preprocessing, Solution, Postprocessing. Exemplary task.
3. CAD models import. Modeling in FEM system.
4. Mesh generation. Free and Mapped Meshing. Element type selection.
5. Mesh density. Shape transition and notch issues.
6. Boundary conditions. Binding types, load type selection.
7. Truss structures, frames. Truss elements types, Link and Beam. Plane and rotational symmetry.
8. Static 3D problems. Exemplary task. Postprocessing and obtained results analysis. Computed items graphical courses on given path, sections.
9.-10. Static 3D tasks. Individual task solution.
11. Modal analysis. Natural frequencies and modes. Exemplary task.
12. Stationary heat conduction problems. Exemplary task.
13. Individual tasks control. Results presentation and discussion.