Course detail

Calculation Methods

FSI-QVMAcad. year: 2010/2011

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. Camshaft mechanisms at ICE. Dynamic models of camshaft mechanisms. Continuum dynamics fundamentals, longitudinal spar oscillations, wave equation. Beam bending oscillations, shaft wheeling oscillations. Membrane and plate oscillations, acoustic problems.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

prof. Ing. Václav Píštěk, DrSc.

Department

Institute of Automotive Engineering (ÚADI)

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.

Prerequisites

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

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

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.
Examination:
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...

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Genta, G.: Vibration of Structures and Machines. Springer-Verlag 2003
Kollmann, F.G.: Maschinenakustik. Springer Verlag 2002.
Norton, R.L.: CAM DESIGN and Manufakturing Handbook. Industrial Press New York 2002.

Recommended reading

Píštěk, V. - Štětina, J.: Výpočetní metody ve stavbě spalovacích motorů. Učební text VUT FSI.

Classification of course in study plans

  • Programme N2301-2 Master's

    branch M-ADI , 1 year of study, winter semester, compulsory
    branch M-ADI , 1 year of study, winter semester, elective (voluntary)

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. Ing. Václav Píštěk, DrSc.

Syllabus

1. Finite Element Method (FEM) application, static problems.
2. Dynamic multi-degree-of-freedom systems, modal analysis.
3. Multi-degree-of-freedom forced oscillations computational analysis.
4. Experimental modal analysis and motion shape analysis.
5. Torsional systems dynamics, natural frequency, forced oscillations.
6. Torsional systems and transmissions, elastic couplings in torsinal systems.
7. Crankshaft torsional vibrations, energetic computational methods.
8. Dynamic systems tuning, dynamic dampers application.
9. Elastic machine bedding, elasticity midpoint, central axis of elasticity.
10. Camshaft mechanisms at ICE, dynamic models of camshaft mechanisms.
11. Continuum dynamics fundamentals, longitudinal spar oscillations, wave equation.
12. Beam bending oscillations, shaft wheeling oscillations.
13. Membrane and plate oscillations, acoustic problems.

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Pavel Ramík

Syllabus

1. Analytical and numerical methods. Finite Element Method (FEM). Types of solved problems. Software ANSYS.
2. ANSYS environment. Process stages - Preprocessing, Solution, Post-processing.
3. Preprocessing. Element type selection, real constants, material properties. Solid Modelling and Direct Generation. Bottom-Up a Top-Down approach.
4. 2-D structural analyses, practical approach - 1st part. Coordinate systems. Boolean operations.
5. 2-D structural analyses, practical approach - 2nd part. Free and Mapped Meshing.
6. 2-D structural analyses, practical approach - 3rd part. Boundary Conditions and Load. Selections utilization.
7. 2-D structural analyses, practical approach - 4th part. Post-processing, numeric and graphic results.
8. 2-D structural analyses, practical approach - 5th part. Deformations and stress presentation. Quantities course on given paths.
9. 2-D structural analyses, given problem solution.
10. 3-D structural analyses, practical approach - 1st part. Extrusion and rotation.
11. 2-D structural analyses, practical approach - 2nd part. Symmetry utilization. Reflection and Merging.
12. 3-D structural analyses, given problem solution - 1st part.
13. 2-D structural analyses, given problem solution - 2nd part. Obtained results evaluation.