Title  ΜΕΘΟΔΟΣ ΠΕΠΕΡΑΣΜΕΝΩΝ ΣΤΟΙΧΕΙΩΝ / FINITE ELEMENTS METHOD 
Code  305 
Faculty  Engineering 
School  Mechanical Engineering 
Cycle / Level  1st / Undergraduate 
Teaching Period  Winter 
Coordinator  Athanasios Michailidis 
Common  Yes 
Status  Active 
Course ID  20000417 
Programme of Study: UPS of School of Mechanical Engineering
Registered students: 66
Orientation  Attendance Type  Semester  Year  ECTS 

Energy  Elective Courses belonging to the other  7  4  5 
Design and Structures  Elective Course belonging to the selected specialization (Elective Specialization Course)  7  4  5 
Industrial Management  Elective Courses belonging to the other  7  4  5 
Academic Year  2019 – 2020 
Class Period  Winter 
Faculty Instructors 

Instructors from Other Categories 

Weekly Hours  4 
Class ID  600149909

Type of the Course
 Scientific Area
 Skills Development
Course Category
Specific Foundation / Core
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600149909
 Other: http://eclass.auth.gr/courses/MENG395/
Language of Instruction
 Greek (Instruction, Examination)
Prerequisites
Required Courses
 108 STATICS
 112 MECHANICS OF MATERIALS
Learning Outcomes
Upon completion of the course the students must have comprehended the basic principles of the Finite Element Method and apply it to the solution of common practical problems in mechanical components and structures (emphasizing in the automotive, aviation, elevator industries, etc.) using modern programing languages. They must be able to evaluate the results obtained in order to help the design process.
In particular, the student must be able to:
1. Define the boundary conditions of common practical problems, focusing on the design details at hand and the operational condition of the component/structure in order to achieve an accurate as possible simulation
2. Evaluate various analysis scenarios (mesh size, element type and order, boundary conditions, solution type, etc.) in order to select the optimum strategy to simulate the problem at hand more accurately.
3. Use and apply modern highlevel programing languages for the solution of such problems,
4. Evaluate results
General Competences
 Apply knowledge in practice
 Retrieve, analyse and synthesise data and information, with the use of necessary technologies
 Make decisions
 Generate new research ideas
 Design and manage projects
 Respect natural environment
 Be critical and selfcritical
Course Content (Syllabus)
Introduction to the Finite Element Method: Areas of application focusing on the static analysis of structures. Brief historical review of the method’s foundations and modern evolution. Examples on simplified and complex mechanical structures from the automotive industry (suspension systems, frames, tires, belts, bearings, welds, etc.), the elevator industry (simulations of operation and compliance tests of components and the complete elevator car, wires, etc.) and the aviation industry (simulation of the skin of unmanned aerial vehicles made of metallic and composite materials).
Mathematical background and prerequisite knowledge: Mechanics of Materials and continuum mechanics. Matrix algebra and numerical analysis techniques. Elasticity theory and introduction to plasticity. Disk, plate, rods, trusses, beams and frames. Plane stress and plane strain with 1st, 2nd and higher order shell elements. Shape functions and coordinate systems (local and global). Creation of stiffness matrices for the elements and structures. 3D stress and 3D elements. Mathematical solution and introduction to explicit dynamics (transient and steady state) and thermal analysis.
Meshing of components and structures: Geometric simplifications, element size sensitivity and boundary conditions. Importance of choosing suitable element types and solution method for each problem. Evaluation of results in benchmark problems and comparison with the theoretical/analytical solutions. Results from complex structures and guidelines for evaluation results in common problems.
Development of a modular computer program for the design, meshing, boundary condition application, solving and results presentation of simple structures (1D elements, 2D and 3D trusses and frames and Plane stress problems).
Keywords
Finite Element Method, FEM
Educational Material Types
 Notes
 Slide presentations
 Book
Use of Information and Communication Technologies
Use of ICT
 Use of ICT in Course Teaching
 Use of ICT in Laboratory Teaching
 Use of ICT in Communication with Students
Description
The theory lectures are carried out in the classroom using computer presentations, while the practice lectures and exercises are carried out in the computer lab of the Laboratory of Machine Elements & Machine Design (LMEMD). All lectures include theory and example case problems which require the interaction between teacher and students. Visits to the testing sites of LMEMD and the Formula student team center are carried out in order to demonstrate and comprehend practical problems, emphasizing in the determination of boundary conditions and thye accuracy of the simulation .
The exercises include the demonstration and development of software modules using modern highlevel programing languages.
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  65  2.2  ✓  
Tutorial  20  0.7  ✓  
Interactive Teaching in Information Center  15  0.5  ✓  
Project  44  1.5  ✓  
Exams  3  0.1  ✓  
Other / Others  3  0.1  ✓  
Total  150  5 
Student Assessment
Description
The students are evaluated individually during the presentations of the exercises (the examination does not take place during the teaching hours of the course). The final grade of the course is the average of the grades of each exercise given that each exercise has a grade larger or equal to 5. In case of failing in one or more evaluations of the exercises, the same procedure is carried out during the exam period in September.
Student Assessment methods
 Written Assignment (Formative, Summative)
 Oral Exams (Formative, Summative)
 Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1) Tirupathi R. Chandrupatla, Ashok D. Belegundu, Εισαγωγη στα Πεπερασμενα Στοιχεια για Μηχανικους, 2006, Εκδοσεις Κλειδαριθμος ΕΠΕ
2) Μ. Παπαδρακάκης, Ανάλυση Φορέων με τη μέθοδο των πεπερασμένων στοιχείων, 2001
Additional bibliography for study
• Concepts and applications of Finite Element Analysis, 1981, Cook R. D., John Willey, 2nd edition
• The Finite Element Method a practical course, 2003, Liu G. R., Quek S. S., ButterworthHeinemann
• Finite Element Modeling for Stress Analysis, 1995, R. D. Cook, Wiley
• Finite Element Procedures, 1995, K. J. Bathe, Prentice Hal
• Finite Element Analysis, 1995, G. R. Buchanan, McGrawHill
• Ανάλυση Φορέων με τη Μέθοδο Πεπερασμένων Στοιχείων, 2001, M. Παπαδρακάκης, Παπασωτηρίου
• Μέθοδος Πεπερασμένων Στοιχείων Ι, ΙΙ, 2005, Γ. Ι. Τσαμασφύρος, Ε.Ε. Θεοτόκογλου, Συμμετρία
• Σημειώσεις  Μέθοδος Πεπερασμένων Στοιχείων – Θεωρία και Ασκήσεις, 2002, Γ. Αθανασιάδης, Θεσσαλονίκη
Last Update
30062020