MK - Modeling of structures

Course specification
Type of study	Master academic studies
Study programme
Course title	Modeling of structures
Acronym	Status	Semester	Number of classes	ESPB
MK	mandatory	1	2П + 2В	5.0
Lecturers
Lecturer (for classes)	prof. dr Aleksandar Borković doc. dr Žana Topalović
Lecturer/Associate (for practice)	Dijana Tatar, ma Petar Praštalo
Condition				Облик условљености
-				-
The goal
Introduction to numerical methods in engineering. Develop ability to apply numerical methods for the solution of practical problems in civil engineering. Develop ability to use licensed software for solving the practical problems in civil engineering.
The outcome
Understanding of the basic theoretical concepts of numerical methods in engineering. Ability to adopt suitable calculation and mathematical model for the concrete problem.
Contents
Introduction. Mechanical model. Calculation model. Mathematical model. Sources of errors in numerical analysis. Interpolation and approximation. Numerical integration. Numerical differentiation. Solving a nonlinear equation. Solving a system of linear equations. Solving a system of nonlinear equations. Ordinary differential equations in engineering. Partial differential equations in engineering. Numerical methods for solving (systems) of ordinary and partial differential equations. Boundary value problem of elastostatics and elastodynamics. Strong form. Weak form. Methods for the numerical solution of the boundary value problem. Finite element method. Finite difference method. Finite volume method. Collocations. Method of least squares. Method of random nodes. Eigenvalue problem. Use of licensed software packages. Defining individual semestral assignments.
Methods of teaching
Auditory lectures and practical exercises. Work on project assignments in computational center by consulting with the assistant.
Literature
Ferziger, J.H., Numerical Methods for Engineering Application, JohnWiley & sons, New York, 1981. (Original title) Hildebrand, F.B., Introduction to Numerical Analysis, McGraw-Hill, New York, 1974. (Original title) Jovanović M., Osnove numeričkog modeliranja ravanskih otvorenih tokova, Građevinski fakultet Beograd, 1998. (Original title) Radunović D., Numeričke metode, Univerzitet u Beogradu, Beograd, 1998. (Original title) Radojković, M., Klem, N., Primena računara u hidraulici, Građevinska knjiga, Beograd, 1989. (Original title)
Облици провјере знања и оцјењивање
It is compulsory to solve and defend project assignment during the semester. If the students do not pass colloquiums during the semester, they can take correctional colloquiums during the regular examination period.
Посебна назнака
Предмет је заједнички за свих шест усмјерења. Наставне јединице које студент слуша и полаже се формирају у складу са потребним компетенцијама уписаног усмјерења