The Finite Element Method, FEM, 6 credits

Finita elementmetoden, FEM, 6 hp

TMMI37

Main field of study

Mechanical Engineering

Course level

First cycle

Course type

Programme course

Examiner

Kjell Simonsson

Director of studies or equivalent

Peter Schmidt

Education components

Preliminary scheduled hours: 48 h
Recommended self-study hours: 112 h
Possible deviation from course syllabus/programme syllabus
ECV = Elective / Compulsory / Voluntary
Course offered for Semester Period Timetable module Language Campus ECV
6IMAS Mechanical Engineering, B Sc in Engineering 4 (Spring 2017) 1, 2 1, 1 Swedish Linköping, Valla C

Main field of study

Mechanical Engineering

Course level

First cycle

Advancement level

G2X

Course offered for

  • Mechanical Engineering, B Sc in Engineering

Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

Prerequisites

Linear algebra, multi-variable calculus and basic courses in engineering mechanics, solid mechanics, heat conduction, fluid mechanics and engineering materials

Intended learning outcomes

The course aims at giving the student

  • an insight into the use of computational techniques in applied mechanics
  • an insight into how technical computations are used in the design process
  • a basic theoretical understanding of the completely dominating computational method, namely the Finite Element Method/FEM
  • the ability to independently solve not too advanced problems by using a well known commercial FE software
It is to be noted that the focus in the course will be placed more on the applications of the Finite Element Method than on its theoretical details. The application fields that will mainly be discussed in the course are static solid mechanics and stationary heat conduction. The evaluation of results including material-related aspects will be a standing issue in the course. At the end of the course, the student shall be able to
  • give an account of how computations are used in the design process
  • give an account of the theoretical basis of FEM
  • give an account of the inherent structure of an FE program
  • give an account of potential sources of error associated with FE analyses
  • use a well known FE software to solve not too advanced problems
  • give an account of the importance of result evaluation with respect to e.g. material aspects

    Course content

    • Introduction into the use of computational techniques in applied mechanics
    • Stress analysis of 2-dimensional rod structures/trusses (with the direct stiffness method); applications, basic relations, matrix problem formulation, laboratory work
    • Linear elastic stress analysis of 2- and 3-dimensional solid bodies; applications, basic relations, FE formulation, laboratory work
    • One- and multi-dimensional heat conduction analysis; applications, basic relations, FE formulation, laboratory work
    • Evaluation of results including material-related questions (standing issue in the course) In addition, a given design problem is to be solved by using the knowledge and skills gained in the course.

    Teaching and working methods

    Lectures, teaching classes, laboratory work.

    Examination

    LAB2Optional laboratory assignment for higher grades0 creditsU, 3, 4, 5
    LAB1Laboratory work6 creditsU, 3, 4, 5

    Grades

    Four-grade scale, LiU, U, 3, 4, 5

    Other information

    Supplementary courses: Mechanical vibrations and fatigue

    Department

    Institutionen för ekonomisk och industriell utveckling

    Director of Studies or equivalent

    Peter Schmidt

    Examiner

    Kjell Simonsson

    Course website and other links

    Education components

    Preliminary scheduled hours: 48 h
    Recommended self-study hours: 112 h

    Course literature

    Fastställs senare
    • Code Name Scope Grading scale
    LAB2 Optional laboratory assignment for higher grades 0 credits U, 3, 4, 5
    LAB1 Laboratory work 6 credits U, 3, 4, 5

    Regulations (apply to LiU in its entirety)

    The university is a government agency whose operations are regulated by legislation and ordinances, which include the Higher Education Act and the Higher Education Ordinance. In addition to legislation and ordinances, operations are subject to several policy documents. The Linköping University rule book collects currently valid decisions of a regulatory nature taken by the university board, the vice-chancellor and faculty/department boards.

    LiU’s rule book for education at first-cycle and second-cycle levels is available at http://styrdokument.liu.se/Regelsamling/Innehall/Utbildning_pa_grund-_och_avancerad_niva. 

    Student rights and obligations (login required)
    Linköping University common rules and regulations (in Swedish)
    Fastställs senare

    Download

    Note: The course matrix might contain more information in Swedish.

    I = Introduce, U = Teach, A = Utilize
    I U A Modules Comment
    1. DISCIPLINARY KNOWLEDGE AND REASONING
    1.1 Knowledge of underlying mathematics and science (G1X level)
    X
    		 
    
                                		
                        
    
                        
    
                            
                            1.2 Fundamental engineering knowledge (G1X level)
                            
                                
     
    
                                		
                            
                                
    X
    
                                		
                            
                                
    X
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            1.3 Further knowledge, methods, and tools in one or several subjects in engineering or natural science (G2X level)
                            
                                
     
    
                                		
                            
                                
    X
    
                                		
                            
                                
    X
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            1.4 Advanced knowledge, methods, and tools in one or several subjects in engineering or natural sciences (A1X level)
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            1.5 Insight into current research and development work
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
                    
                        
    
                            
                                2. PERSONAL AND PROFESSIONAL SKILLS AND ATTRIBUTES
                            
                        
    
                        
                    
                        
    
                            
                            2.1 Analytical reasoning and problem solving
                            
                                
     
    
                                		
                            
                                
    X
    
                                		
                            
                                
    X
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            2.2 Experimentation, investigation, and knowledge discovery
                            
                                
     
    
                                		
                            
                                
    X
    
                                		
                            
                                
    X
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            2.3 System thinking
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            2.4 Attitudes, thought, and learning
                            
                                
     
    
                                		
                            
                                
    X
    
                                		
                            
                                
    X
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            2.5 Ethics, equity, and other responsibilities
                            
                                
     
    
                                		
                            
                                
    X
    
                                		
                            
                                
    X
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
                    
                        
    
                            
                                3. INTERPERSONAL SKILLS: TEAMWORK AND COMMUNICATION
                            
                        
    
                        
                    
                        
    
                            
                            3.1 Teamwork
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            3.2 Communications
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            3.3 Communication in foreign languages
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
                    
                        
    
                            
                                4. CONCEIVING, DESIGNING, IMPLEMENTING AND OPERATING SYSTEMS IN THE ENTERPRISE, SOCIETAL AND ENVIRONMENTAL CONTEXT
                            
                        
    
                        
                    
                        
    
                            
                            4.1 External, societal, and environmental context
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            4.2 Enterprise and business context
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            4.3 Conceiving, system engineering and management
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            4.4 Designing
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            4.5 Implementing
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            4.6 Operating
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
                    
                        
    
                            
                                5. PLANNING, EXECUTION AND PRESENTATION OF RESEARCH DEVELOPMENT PROJECTS WITH RESPECT TO SCIENTIFIC AND SOCIETAL NEEDS AND REQUIREMENTS
                            
                        
    
                        
                    
                        
    
                            
                            5.1 Societal conditions, including economic, social, and ecological aspects of sustainable development for knowledge development
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            5.2 Economic conditions for knowledge development
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            5.3 Identification of needs, structuring and planning of research or development projects
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            5.4 Execution of research or development projects
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
    
                            
                            5.5 Presentation and evaluation of research or development projects
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                                
     
    
                                		
                            
                            
                            
                                
    
                                		
                        
    
                        
            
    
        
    

    

            
    
        
    
            

    
        
    
            
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