Modeling of structures

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.

Understanding of the basic theoretical concepts of numerical methods in engineering. Ability to adopt suitable calculation and mathematical model for the concrete problem.

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.

1. Ferziger, J.H., Numerical Methods for Engineering Application, JohnWiley & sons, New York, 1981.

   (Original)

2. Hildebrand, F.B., Introduction to Numerical Analysis, McGraw-Hill, New York, 1974.

   (Original)

3. Jovanović M., Osnove numeričkog modeliranja ravanskih otvorenih tokova, Građevinski fakultet Beograd, 1998.

   (Original)

4. Radunović D., Numeričke metode, Univerzitet u Beogradu, Beograd, 1998.

   (Original)

5. Radojković, M., Klem, N., Primena računara u hidraulici, Građevinska knjiga, Beograd, 1989.

   (Original)

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.

Auditory lectures and practical exercises. Work on project assignments in computational center by consulting with the assistant.