Wydział Inżynierii Mechanicznej i Mechatroniki - Materials Engineering (S2)
Sylabus przedmiotu Finite Element Methods:
Informacje podstawowe
| Kierunek studiów | Materials Engineering | ||
|---|---|---|---|
| Forma studiów | studia stacjonarne | Poziom | drugiego stopnia |
| Tytuł zawodowy absolwenta | magister inżynier | ||
| Obszary studiów | nauki techniczne | ||
| Profil | ogólnoakademicki | ||
| Moduł | — | ||
| Przedmiot | Finite Element Methods | ||
| Specjalność | przedmiot wspólny | ||
| Jednostka prowadząca | Katedra Mechaniki i Podstaw Konstrukcji Maszyn | ||
| Nauczyciel odpowiedzialny | Mariusz Leus <Mariusz.Leus@zut.edu.pl> | ||
| Inni nauczyciele | Konrad Konowalski <Konrad.Konowalski@zut.edu.pl>, Kamil Urbanowicz <Kamil.Urbanowicz@zut.edu.pl> | ||
| ECTS (planowane) | 3,0 | ECTS (formy) | 3,0 |
| Forma zaliczenia | zaliczenie | Język | polski |
| Blok obieralny | — | Grupa obieralna | — |
Formy dydaktyczne
Wymagania wstępne
| KOD | Wymaganie wstępne |
|---|---|
| W-1 | It is required to obtain credits in the following subjects: Mathematics I, Mechanics I, Mathematics II, Mechanics II, Strength of Materials I, Strength of Materials II |
Cele przedmiotu
| KOD | Cel modułu/przedmiotu |
|---|---|
| C-1 | The aim of the training is to familiarize students with the basics of the finite element method |
| C-2 | The aim of the training is shaping skills in creating computational models and calculations of the machine elements in the MIDAS NFX system |
Treści programowe z podziałem na formy zajęć
| KOD | Treść programowa | Godziny |
|---|---|---|
| laboratoria | ||
| T-L-1 | The overview of the MIDAS NFX system | 2 |
| T-L-2 | The static analysis of the flat truss | 2 |
| T-L-3 | The static analysis of the spatial truss | 2 |
| T-L-4 | Creating a finite element mesh | 2 |
| T-L-5 | The strength calculations of the beam | 2 |
| T-L-6 | Test # 1 | 2 |
| T-L-7 | The analysis of the calculations’ accuracy | 2 |
| T-L-8 | The static analysis of the burdened angle bracket | 2 |
| T-L-9 | The calculation of the flat spring stiffness | 2 |
| T-L-10 | The use of the Boolean operations while creating a block | 2 |
| T-L-11 | Test # 2 | 2 |
| T-L-12 | Buckling | 2 |
| T-L-13 | Heat flow through the wall | 2 |
| T-L-14 | The analysis of thermal stresses | 2 |
| T-L-15 | Test # 3 | 2 |
| 30 | ||
| wykłady | ||
| T-W-1 | Introduction. Modelling of the mechanical systems | 1 |
| T-W-2 | The matrix of stiffness and vulnerability of the rod, the transformation of vectors and matrices | 1 |
| T-W-3 | Truss as the direct MES illustration | 2 |
| T-W-4 | Basic equations of the theory of elasticity, the state of stress and the state of strain at the point | 2 |
| T-W-5 | The physical relations between the state of stress and the state of strain, the energy of the elastic strain | 1 |
| T-W-6 | The minimum principle of the total potential system energy | 1 |
| T-W-7 | The concept of the finite element method | 2 |
| T-W-8 | The classification of the finite elements | 1 |
| T-W-9 | The analysis of the finite rod element. The determination of the shape functions, strain matrix, and stiffness matrix | 1 |
| T-W-10 | The analysis of the finite beam element. The determination of functions of the shape, strain matrix, and stiffness matrix | 1 |
| T-W-11 | The division of the construction into the finite elements, the construction of the global stiffness and system matrix, the designation of equivalent loads | 1 |
| T-W-12 | Boundary conditions and the methods of solving the systems of equations | 1 |
| 15 | ||
Obciążenie pracą studenta - formy aktywności
| KOD | Forma aktywności | Godziny |
|---|---|---|
| laboratoria | ||
| A-L-1 | Preparation to the classes on the basis of the lecture and the literature given | 14 |
| A-L-2 | Participation in the classes | 30 |
| A-L-3 | Participation in consultations | 10 |
| A-L-4 | Preparing for the tests | 6 |
| 60 | ||
| wykłady | ||
| A-W-1 | Participation in the classes | 15 |
| A-W-2 | Preparing for the lecture on the basis of the recommended literature | 7 |
| A-W-3 | Participation in consultations | 5 |
| A-W-4 | Preparation to passing an exam | 2 |
| A-W-5 | Passing the test | 1 |
| 30 | ||
Metody nauczania / narzędzia dydaktyczne
| KOD | Metoda nauczania / narzędzie dydaktyczne |
|---|---|
| M-1 | The informative lecture / typical audio-visual means (board, overhead projector) |
| M-2 | Laboratory classes/computer with the MES, MIDAS NFX program installed |
Sposoby oceny
| KOD | Sposób oceny |
|---|---|
| S-1 | Ocena podsumowująca: In order to pass the laboratory exercises, one has to obtain positive notes from 3 tests |
| S-2 | Ocena podsumowująca: Passing of the lectures consists of two parts - the written one and the oral one |
Zamierzone efekty kształcenia - wiedza
| Zamierzone efekty kształcenia | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| IM_2A_C04_W01 As a result of the conducted classes, the student obtains basic information about the linear Theory of Elasticity and the Finite Element Method | ME_2A_W01 | — | C-2, C-1 | T-W-1, T-W-2, T-W-6, T-W-8, T-W-9, T-W-10, T-W-5, T-W-11, T-W-12, T-W-7, T-W-4, T-W-3, T-L-13, T-L-10, T-L-9, T-L-8, T-L-7, T-L-3, T-L-2, T-L-5, T-L-12, T-L-4, T-L-1 | M-1, M-2 | S-2 |
Zamierzone efekty kształcenia - umiejętności
| Zamierzone efekty kształcenia | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| IM_2A_C04_U01 As a result of passing a subject, the student obtains the ability of the practical use of MES in the machine elements calculations | ME_2A_U07 | — | C-2, C-1 | T-W-1, T-W-2, T-W-6, T-W-8, T-W-9, T-W-10, T-W-5, T-W-11, T-W-12, T-W-7, T-W-4, T-W-3, T-L-13, T-L-10, T-L-9, T-L-8, T-L-7, T-L-3, T-L-2, T-L-5, T-L-12, T-L-4, T-L-1, T-L-14 | M-1, M-2 | S-2 |
Zamierzone efekty kształcenia - inne kompetencje społeczne i personalne
| Zamierzone efekty kształcenia | Odniesienie do efektów kształcenia dla kierunku studiów | Odniesienie do efektów zdefiniowanych dla obszaru kształcenia | Cel przedmiotu | Treści programowe | Metody nauczania | Sposób oceny |
|---|---|---|---|---|---|---|
| IM_2A_C04_K01 As a result of the conducted (passed) classes, the student acquires the proper attitude towards the efficient work in a team. They can carry out a constructive analysis of the strength calculations conducted in a team | ME_2A_K01 | — | C-2, C-1 | T-W-1, T-W-2, T-W-6, T-W-8, T-W-9, T-W-10, T-W-5, T-W-11, T-W-12, T-W-7, T-W-4, T-W-3, T-L-13, T-L-10, T-L-9, T-L-8, T-L-7, T-L-3, T-L-2, T-L-5, T-L-12, T-L-4, T-L-1, T-L-14 | M-1, M-2 | S-2 |
Kryterium oceny - wiedza
| Efekt kształcenia | Ocena | Kryterium oceny |
|---|---|---|
| IM_2A_C04_W01 As a result of the conducted classes, the student obtains basic information about the linear Theory of Elasticity and the Finite Element Method | 2,0 | The student has not mastered the basic knowledge of the subject |
| 3,0 | The student has mastered the basic knowledge of the subject. One is unable to use it in calculations | |
| 3,5 | The student has mastered the knowledge to which he/she was exposed and knows how to use it at the level between the notes 3.0 and 4.0 | |
| 4,0 | The student has mastered the basic knowledge of the subject. One is able to use it in typical machine elements calculations. One has difficulties with solving custom tasks | |
| 4,5 | The student has mastered the knowledge to which he/she was exposed and knows how to use it at the level between the notes 4.0 and 5.0 | |
| 5,0 | The student has mastered the basic knowledge of the subject. He/she possess the ability to solve custom tasks. They show interest in what is beyond the subject to which he/she was exposed |
Kryterium oceny - umiejętności
| Efekt kształcenia | Ocena | Kryterium oceny |
|---|---|---|
| IM_2A_C04_U01 As a result of passing a subject, the student obtains the ability of the practical use of MES in the machine elements calculations | 2,0 | The student is not able to use the theoretical knowledge in practice. The student is not able to properly use the MIDAS NFX program |
| 3,0 | The student is able to properly use the MIDAS NFX program, however he/she often uses the help of the others. Student makes mistakes in calculations | |
| 3,5 | The student displays the level of skills between the notes 3.0 and 4.0 | |
| 4,0 | The student is able to properly and independently use the MIDAS NFX program. The student rarely makes mistakes in calculations | |
| 4,5 | The student displays the level of skills between the notes 4.0 and 5.0 | |
| 5,0 | The student is able to properly and independently use the MIDAS NFX program. The student displays the initiative concerning the use of their own solutions. The student does not make mistakes in calculations |
Kryterium oceny - inne kompetencje społeczne i personalne
| Efekt kształcenia | Ocena | Kryterium oceny |
|---|---|---|
| IM_2A_C04_K01 As a result of the conducted (passed) classes, the student acquires the proper attitude towards the efficient work in a team. They can carry out a constructive analysis of the strength calculations conducted in a team | 2,0 | The student is inactive. During work, they take advantage of others' accomplishments. The student shows no interest in the subject |
| 3,0 | The student performs the work on their own. The student does not show a willingness to cooperate with other students and the person conducting the classes | |
| 3,5 | The assessment of the student's attitude is assessed to 3.0 and 4.0 | |
| 4,0 | The student performs the work on their own. The student eagerly joins the team and cooperate with other students and the person conducting the classes | |
| 4,5 | The assessment of the student's attitude is assessed to 4.0 and 5.0 | |
| 5,0 | The student exhibits the leadership features, organizes the work of the team in the way which increases the quality of the work they are assigned to. The student displays interest in knowledge beyond the framework of the subject |
Literatura podstawowa
- Rakowski G., Kacprzyk Z, Metoda elementów skończonych, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa, 2005
- Z. Rusiński, J. Czmochowski, T. Smolnicki, Zaawansowana metoda elementów skończonych w konstrukcjach nośnych., Oficyna Wydawnicza Politechniki Wrocławskiej, Wrocław, 2000
- Zienkiewicz O.C.:, Metoda elementów skończonych., Arkady, Warszawa, 1972
- T. Łodygowski, W. Kąkol, Metoda elementów skończonych w wybranych zagadnieniach mechaniki konstrukcji inżynierskich, Skrypt Politechniki Poznańskiej, Poznań, 1994
Literatura dodatkowa
- Gawroński W., Kruszewski J., Ostachowicz W., Tarnowski J., Wittbrodt E, Metoda elementów skończonych w dynamice konstrukcji., Arkady, Warszawa, 1984
- Andrzej Jaworski, Metoda elementów skończonych w wytrzymałości konstrukcji, Politechniki Warszawskiej, Waeszawa, 1981
- Klaus Jurgen Bathe, Finite Element Procedures, Prentice Hall, Englewood Cliffs, New Jersey 07632, 1996