Zachodniopomorski Uniwersytet Technologiczny w Szczecinie

Wydział Inżynierii Mechanicznej i Mechatroniki - Materials Engineering (S2)
specjalność: Lightweight Structures

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 charakterystyki PRK, kompetencje inżynierskie PRK
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

Forma dydaktycznaKODSemestrGodzinyECTSWagaZaliczenie
laboratoriaL1 30 2,00,38zaliczenie
wykładyW1 15 1,00,62zaliczenie

Wymagania wstępne

KODWymaganie wstępne
W-1It 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

KODCel modułu/przedmiotu
C-1The aim of the training is to familiarize students with the basics of the finite element method
C-2The 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

KODTreść programowaGodziny
laboratoria
T-L-1The overview of the MIDAS NFX system2
T-L-2The static analysis of the flat truss2
T-L-3The static analysis of the spatial truss2
T-L-4Creating a finite element mesh2
T-L-5The strength calculations of the beam2
T-L-6Test # 12
T-L-7The analysis of the calculations’ accuracy2
T-L-8The static analysis of the burdened angle bracket2
T-L-9The calculation of the flat spring stiffness2
T-L-10The use of the Boolean operations while creating a block2
T-L-11Test # 22
T-L-12Buckling2
T-L-13Heat flow through the wall2
T-L-14The analysis of thermal stresses2
T-L-15Test # 32
30
wykłady
T-W-1Introduction. Modelling of the mechanical systems1
T-W-2The matrix of stiffness and vulnerability of the rod, the transformation of vectors and matrices1
T-W-3Truss as the direct MES illustration2
T-W-4Basic equations of the theory of elasticity, the state of stress and the state of strain at the point2
T-W-5The physical relations between the state of stress and the state of strain, the energy of the elastic strain1
T-W-6The minimum principle of the total potential system energy1
T-W-7The concept of the finite element method2
T-W-8The classification of the finite elements1
T-W-9The analysis of the finite rod element. The determination of the shape functions, strain matrix, and stiffness matrix1
T-W-10The analysis of the finite beam element. The determination of functions of the shape, strain matrix, and stiffness matrix1
T-W-11The division of the construction into the finite elements, the construction of the global stiffness and system matrix, the designation of equivalent loads1
T-W-12Boundary conditions and the methods of solving the systems of equations1
15

Obciążenie pracą studenta - formy aktywności

KODForma aktywnościGodziny
laboratoria
A-L-1Preparation to the classes on the basis of the lecture and the literature given14
A-L-2Participation in the classes30
A-L-3Participation in consultations10
A-L-4Preparing for the tests6
60
wykłady
A-W-1Participation in the classes15
A-W-2Preparing for the lecture on the basis of the recommended literature7
A-W-3Participation in consultations5
A-W-4Preparation to passing an exam2
A-W-5Passing the test1
30

Metody nauczania / narzędzia dydaktyczne

KODMetoda nauczania / narzędzie dydaktyczne
M-1The informative lecture / typical audio-visual means (board, overhead projector)
M-2Laboratory classes/computer with the MES, MIDAS NFX program installed

Sposoby oceny

KODSposób oceny
S-1Ocena podsumowująca: In order to pass the laboratory exercises, one has to obtain positive notes from 3 tests
S-2Ocena podsumowująca: Passing of the lectures consists of two parts - the written one and the oral one

Zamierzone efekty uczenia się - wiedza

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów uczenia się prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób 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_W01C-1, C-2T-W-1, T-W-2, T-W-3, T-W-4, T-W-5, T-W-6, T-W-7, T-W-8, T-W-9, T-W-10, T-W-11, T-W-12, T-L-1, T-L-2, T-L-3, T-L-4, T-L-5, T-L-7, T-L-8, T-L-9, T-L-10, T-L-12, T-L-13M-1, M-2S-2

Zamierzone efekty uczenia się - umiejętności

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów uczenia się prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób 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_U07C-1, C-2T-W-1, T-W-2, T-W-3, T-W-4, T-W-5, T-W-6, T-W-7, T-W-8, T-W-9, T-W-10, T-W-11, T-W-12, T-L-1, T-L-2, T-L-3, T-L-4, T-L-5, T-L-7, T-L-8, T-L-9, T-L-10, T-L-12, T-L-13, T-L-14M-1, M-2S-2

Zamierzone efekty uczenia się - inne kompetencje społeczne i personalne

Zamierzone efekty uczenia sięOdniesienie do efektów kształcenia dla kierunku studiówOdniesienie do efektów zdefiniowanych dla obszaru kształceniaOdniesienie do efektów uczenia się prowadzących do uzyskania tytułu zawodowego inżynieraCel przedmiotuTreści programoweMetody nauczaniaSposób 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_K01C-1, C-2T-W-1, T-W-2, T-W-3, T-W-4, T-W-5, T-W-6, T-W-7, T-W-8, T-W-9, T-W-10, T-W-11, T-W-12, T-L-1, T-L-2, T-L-3, T-L-4, T-L-5, T-L-7, T-L-8, T-L-9, T-L-10, T-L-12, T-L-13, T-L-14M-1, M-2S-2

Kryterium oceny - wiedza

Efekt uczenia sięOcenaKryterium 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
2,0The student has not mastered the basic knowledge of the subject
3,0The student has mastered the basic knowledge of the subject. One is unable to use it in calculations
3,5The 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
4,0The 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
4,5The 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
5,0The 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 uczenia sięOcenaKryterium 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
2,0The student is not able to use the theoretical knowledge in practice. The student is not able to properly use the MIDAS NFX program
3,0The 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
3,5The student displays the level of skills between the notes 3.0 and 4.0
4,0The student is able to properly and independently use the MIDAS NFX program. The student rarely makes mistakes in calculations
4,5The student displays the level of skills between the notes 4.0 and 5.0
5,0The 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 uczenia sięOcenaKryterium 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
2,0The student is inactive. During work, they take advantage of others' accomplishments. The student shows no interest in the subject
3,0The 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
3,5The assessment of the student's attitude is assessed to 3.0 and 4.0
4,0The student performs the work on their own. The student eagerly joins the team and cooperate with other students and the person conducting the classes
4,5The assessment of the student's attitude is assessed to 4.0 and 5.0
5,0The 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

  1. Rakowski G., Kacprzyk Z, Metoda elementów skończonych, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa, 2005
  2. Z. Rusiński, J. Czmochowski, T. Smolnicki, Zaawansowana metoda elementów skończonych w konstrukcjach nośnych., Oficyna Wydawnicza Politechniki Wrocławskiej, Wrocław, 2000
  3. Zienkiewicz O.C.:, Metoda elementów skończonych., Arkady, Warszawa, 1972
  4. T. Łodygowski, W. Kąkol, Metoda elementów skończonych w wybranych zagadnieniach mechaniki konstrukcji inżynierskich, Skrypt Politechniki Poznańskiej, Poznań, 1994

Literatura dodatkowa

  1. Gawroński W., Kruszewski J., Ostachowicz W., Tarnowski J., Wittbrodt E, Metoda elementów skończonych w dynamice konstrukcji., Arkady, Warszawa, 1984
  2. Andrzej Jaworski, Metoda elementów skończonych w wytrzymałości konstrukcji, Politechniki Warszawskiej, Waeszawa, 1981
  3. Klaus Jurgen Bathe, Finite Element Procedures, Prentice Hall, Englewood Cliffs, New Jersey 07632, 1996

Treści programowe - laboratoria

KODTreść programowaGodziny
T-L-1The overview of the MIDAS NFX system2
T-L-2The static analysis of the flat truss2
T-L-3The static analysis of the spatial truss2
T-L-4Creating a finite element mesh2
T-L-5The strength calculations of the beam2
T-L-6Test # 12
T-L-7The analysis of the calculations’ accuracy2
T-L-8The static analysis of the burdened angle bracket2
T-L-9The calculation of the flat spring stiffness2
T-L-10The use of the Boolean operations while creating a block2
T-L-11Test # 22
T-L-12Buckling2
T-L-13Heat flow through the wall2
T-L-14The analysis of thermal stresses2
T-L-15Test # 32
30

Treści programowe - wykłady

KODTreść programowaGodziny
T-W-1Introduction. Modelling of the mechanical systems1
T-W-2The matrix of stiffness and vulnerability of the rod, the transformation of vectors and matrices1
T-W-3Truss as the direct MES illustration2
T-W-4Basic equations of the theory of elasticity, the state of stress and the state of strain at the point2
T-W-5The physical relations between the state of stress and the state of strain, the energy of the elastic strain1
T-W-6The minimum principle of the total potential system energy1
T-W-7The concept of the finite element method2
T-W-8The classification of the finite elements1
T-W-9The analysis of the finite rod element. The determination of the shape functions, strain matrix, and stiffness matrix1
T-W-10The analysis of the finite beam element. The determination of functions of the shape, strain matrix, and stiffness matrix1
T-W-11The division of the construction into the finite elements, the construction of the global stiffness and system matrix, the designation of equivalent loads1
T-W-12Boundary conditions and the methods of solving the systems of equations1
15

Formy aktywności - laboratoria

KODForma aktywnościGodziny
A-L-1Preparation to the classes on the basis of the lecture and the literature given14
A-L-2Participation in the classes30
A-L-3Participation in consultations10
A-L-4Preparing for the tests6
60
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta

Formy aktywności - wykłady

KODForma aktywnościGodziny
A-W-1Participation in the classes15
A-W-2Preparing for the lecture on the basis of the recommended literature7
A-W-3Participation in consultations5
A-W-4Preparation to passing an exam2
A-W-5Passing the test1
30
(*) 1 punkt ECTS, odpowiada około 30 godzinom aktywności studenta
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięIM_2A_C04_W01As a result of the conducted classes, the student obtains basic information about the linear Theory of Elasticity and the Finite Element Method
Odniesienie do efektów kształcenia dla kierunku studiówME_2A_W01Has extended and in-depth knowledge of modelling and optimising necessary to design modern and advanced materials and/or technological processes and/or products
Cel przedmiotuC-1The aim of the training is to familiarize students with the basics of the finite element method
C-2The aim of the training is shaping skills in creating computational models and calculations of the machine elements in the MIDAS NFX system
Treści programoweT-W-1Introduction. Modelling of the mechanical systems
T-W-2The matrix of stiffness and vulnerability of the rod, the transformation of vectors and matrices
T-W-3Truss as the direct MES illustration
T-W-4Basic equations of the theory of elasticity, the state of stress and the state of strain at the point
T-W-5The physical relations between the state of stress and the state of strain, the energy of the elastic strain
T-W-6The minimum principle of the total potential system energy
T-W-7The concept of the finite element method
T-W-8The classification of the finite elements
T-W-9The analysis of the finite rod element. The determination of the shape functions, strain matrix, and stiffness matrix
T-W-10The analysis of the finite beam element. The determination of functions of the shape, strain matrix, and stiffness matrix
T-W-11The division of the construction into the finite elements, the construction of the global stiffness and system matrix, the designation of equivalent loads
T-W-12Boundary conditions and the methods of solving the systems of equations
T-L-1The overview of the MIDAS NFX system
T-L-2The static analysis of the flat truss
T-L-3The static analysis of the spatial truss
T-L-4Creating a finite element mesh
T-L-5The strength calculations of the beam
T-L-7The analysis of the calculations’ accuracy
T-L-8The static analysis of the burdened angle bracket
T-L-9The calculation of the flat spring stiffness
T-L-10The use of the Boolean operations while creating a block
T-L-12Buckling
T-L-13Heat flow through the wall
Metody nauczaniaM-1The informative lecture / typical audio-visual means (board, overhead projector)
M-2Laboratory classes/computer with the MES, MIDAS NFX program installed
Sposób ocenyS-2Ocena podsumowująca: Passing of the lectures consists of two parts - the written one and the oral one
Kryteria ocenyOcenaKryterium oceny
2,0The student has not mastered the basic knowledge of the subject
3,0The student has mastered the basic knowledge of the subject. One is unable to use it in calculations
3,5The 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
4,0The 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
4,5The 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
5,0The 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
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięIM_2A_C04_U01As a result of passing a subject, the student obtains the ability of the practical use of MES in the machine elements calculations
Odniesienie do efektów kształcenia dla kierunku studiówME_2A_U07Can assess and compare a product for indicated use criteria taking into consideration extratechnological aspects
Cel przedmiotuC-1The aim of the training is to familiarize students with the basics of the finite element method
C-2The aim of the training is shaping skills in creating computational models and calculations of the machine elements in the MIDAS NFX system
Treści programoweT-W-1Introduction. Modelling of the mechanical systems
T-W-2The matrix of stiffness and vulnerability of the rod, the transformation of vectors and matrices
T-W-3Truss as the direct MES illustration
T-W-4Basic equations of the theory of elasticity, the state of stress and the state of strain at the point
T-W-5The physical relations between the state of stress and the state of strain, the energy of the elastic strain
T-W-6The minimum principle of the total potential system energy
T-W-7The concept of the finite element method
T-W-8The classification of the finite elements
T-W-9The analysis of the finite rod element. The determination of the shape functions, strain matrix, and stiffness matrix
T-W-10The analysis of the finite beam element. The determination of functions of the shape, strain matrix, and stiffness matrix
T-W-11The division of the construction into the finite elements, the construction of the global stiffness and system matrix, the designation of equivalent loads
T-W-12Boundary conditions and the methods of solving the systems of equations
T-L-1The overview of the MIDAS NFX system
T-L-2The static analysis of the flat truss
T-L-3The static analysis of the spatial truss
T-L-4Creating a finite element mesh
T-L-5The strength calculations of the beam
T-L-7The analysis of the calculations’ accuracy
T-L-8The static analysis of the burdened angle bracket
T-L-9The calculation of the flat spring stiffness
T-L-10The use of the Boolean operations while creating a block
T-L-12Buckling
T-L-13Heat flow through the wall
T-L-14The analysis of thermal stresses
Metody nauczaniaM-1The informative lecture / typical audio-visual means (board, overhead projector)
M-2Laboratory classes/computer with the MES, MIDAS NFX program installed
Sposób ocenyS-2Ocena podsumowująca: Passing of the lectures consists of two parts - the written one and the oral one
Kryteria ocenyOcenaKryterium oceny
2,0The student is not able to use the theoretical knowledge in practice. The student is not able to properly use the MIDAS NFX program
3,0The 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
3,5The student displays the level of skills between the notes 3.0 and 4.0
4,0The student is able to properly and independently use the MIDAS NFX program. The student rarely makes mistakes in calculations
4,5The student displays the level of skills between the notes 4.0 and 5.0
5,0The 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
PoleKODZnaczenie kodu
Zamierzone efekty uczenia sięIM_2A_C04_K01As 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
Odniesienie do efektów kształcenia dla kierunku studiówME_2A_K01Can think and act in creative and entrepreneurial manner
Cel przedmiotuC-1The aim of the training is to familiarize students with the basics of the finite element method
C-2The aim of the training is shaping skills in creating computational models and calculations of the machine elements in the MIDAS NFX system
Treści programoweT-W-1Introduction. Modelling of the mechanical systems
T-W-2The matrix of stiffness and vulnerability of the rod, the transformation of vectors and matrices
T-W-3Truss as the direct MES illustration
T-W-4Basic equations of the theory of elasticity, the state of stress and the state of strain at the point
T-W-5The physical relations between the state of stress and the state of strain, the energy of the elastic strain
T-W-6The minimum principle of the total potential system energy
T-W-7The concept of the finite element method
T-W-8The classification of the finite elements
T-W-9The analysis of the finite rod element. The determination of the shape functions, strain matrix, and stiffness matrix
T-W-10The analysis of the finite beam element. The determination of functions of the shape, strain matrix, and stiffness matrix
T-W-11The division of the construction into the finite elements, the construction of the global stiffness and system matrix, the designation of equivalent loads
T-W-12Boundary conditions and the methods of solving the systems of equations
T-L-1The overview of the MIDAS NFX system
T-L-2The static analysis of the flat truss
T-L-3The static analysis of the spatial truss
T-L-4Creating a finite element mesh
T-L-5The strength calculations of the beam
T-L-7The analysis of the calculations’ accuracy
T-L-8The static analysis of the burdened angle bracket
T-L-9The calculation of the flat spring stiffness
T-L-10The use of the Boolean operations while creating a block
T-L-12Buckling
T-L-13Heat flow through the wall
T-L-14The analysis of thermal stresses
Metody nauczaniaM-1The informative lecture / typical audio-visual means (board, overhead projector)
M-2Laboratory classes/computer with the MES, MIDAS NFX program installed
Sposób ocenyS-2Ocena podsumowująca: Passing of the lectures consists of two parts - the written one and the oral one
Kryteria ocenyOcenaKryterium oceny
2,0The student is inactive. During work, they take advantage of others' accomplishments. The student shows no interest in the subject
3,0The 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
3,5The assessment of the student's attitude is assessed to 3.0 and 4.0
4,0The student performs the work on their own. The student eagerly joins the team and cooperate with other students and the person conducting the classes
4,5The assessment of the student's attitude is assessed to 4.0 and 5.0
5,0The 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