OGK07MKE - Finite Element Method

Course specification
Type of study	Bachelor academic studies
Study programme
Course title	Finite Element Method
Acronym	Status	Semester	Number of classes	ESPB
OGK07MKE	mandatory	7	2П + 2В	5.0
Lecturers
Lecturer (for classes)	prof. dr Aleksandar Borković
Lecturer/Associate (for practice)	Snježana Milovanović
Condition				Облик условљености
Structural Statics 1				Prerequisite for taking the course is to submit and defend semestral assignments. Prerequisite for taking the exam is to get a positive grade.
The goal
Enable understanding of theoretical foundations and segments of Finite Element Method for the calculation of line and space structures. Develop creativity and ability to understand, formulate and solve engineering problems independently.
The outcome
Student is able and competent to analyze and solve problems of beams and plates utilizing The Finite Element Method.
Contents
Introduction. Fundamental terms. Strong and weak form of equilibrium. Bubnov-Galerkin solution of the boundary-value problem problem. Finite element method. Convergence of the Finite element method. Stiffness matrix. Coordinate transformation. The finite element of the Bernoulli-Euler beam. Hermite polynomials. The finite element of Timoshenko beam. Hierarchical approximative functions. Basic working principles of software packages based on the Finite element method. The theory of bending of thin plates - basics. Isoparametric finite element of a thin plate subjected to bending. Plate loaded in-plane - basics. Isoparametric finite element of an in-plane loaded plate. Isoparametric three-dimensional (brick) finite elements.
Methods of teaching
Interactive lectures and exercises with work on individual assignments. Consultations.
Literature
G.Radenković, Statika linijskih nosača u ravni, Građevinski fakultet, Beograd, 2007 (Original title) M. Sekulović, Metod konačnih elemenata, Građevinska knjiga, Beograd, 1988. (Original title) Kojić, M., Slavković, R., Živković, M., Grujović, N.: Metod konačnih elemenata, Mašinski fakultet Kragujevac, 1995. (Original title) J. Fish, T. Belytschko, A First Course in Finite Elements, Wiley, 2007 (Original title)
Облици провјере знања и оцјењивање
It is compulsory to solve and defend 2 project assignments during the semester. The projects must be submitted and defended by the start of next semester. If the students do not pass colloquiums during the semester, they can take correctional colloquiums during the regular examination period.
Посебна назнака
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