• Semester 6, position 4

Understanding and mastering the process of solving engineering problems using finite elements method and modern software tools. Furthermore, the aim of this course is to develop personal and professional skills of the students along with the development of analysis methodology and solving engineering problems.

After accomplishing the course,a student is capable of working in modern work environments. With learned skills student can implement his theoretical and practical knowledge in engineering practice, achieving a high degree of effectiveness. This knowledge encourages further improvement for students.

Theory: Introduction – modern design methods – software tools and advanced analisys techniques application – mathematical basis - an algorithmic concept of the finite element method - basics of matrix algebra – numerical analysis methods - mathematical interpretation of the finite elements - linear element – surface elements – volume elements - the design, analysis and solving engineering problems using finite element method (line elements) - the design, analysis and solving engineering problems using finite element method (surface elements) - the design, analysis and solving engineering problems using finite element method (volume elements)

Practice: mathematical foundations - numerical methods of analysis - the basics of matrix algebra - the mathematical interpretation of the finite element – solving engineering problems using FEM (linear elements) – solving engineering problems using FEM (surface elements) - solving engineering problems using FEM (volume elements) - a comparative analysis of the results obtained with finite element method and classical methods of calculation - the interpretation of results and verification of analysis results

Preferred: Attended and passed courses – Mathematics 1-3, Mechanics 1-3, Shape modeling, Strenght of material

455, Computer Lab – Design in mechanical engineering module CATIA V5 software package, Computer Lab – Design in mechanical engineering module Simlab - computer laboratory

Total assigned hours: 75

New material: 20
Elaboration and examples (recapitulation): 10

Auditory exercises: 30
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 10
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 60
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 30

M. Kalajdžić, "Finite Element Method ", IAMA Belgrade 1978., KDA(in Serbian); Additional materials (written excerpts with the lectures, setting tasks, guidelines for solving the task), DVL; M. Sekulović, "Metod konačnih elemenata", IRO "Građevinska knjiga", Beograd 1988; Z. Petković, "Metalne konstrukcije u mašinogradnji 2", Mašinski fakultet, Beograd, 2005.; O.C.Zienkiewicz, R.L.Taylor, J.Z.Zhu, "The Finite Element Method: Its Basis and Fundamentals Sixth Edition", Elsevier, 2005.