Institute of Applied Mechanics
Course
title: Numerical Methods in Aviation
Study: undergraduate
program in Aerospace Engineering
Course director:
Prof. Dr. Jurica Soric
Hours/Semester: 45
Course type: compulsory
Semester: 4th
Course syllabus:
General
introduction into numerical methods. Formulation of finite element displacement
based method. Derivation of finite element equation: static finite element
equation, finite element equation for dynamic analysis. Global finite element
formulation, direct stiffness method. Convergence of finite element solutions.
Description of finite element computer programs. One-dimensional finite
elements: basic bar element, basic beam element, higher-order elements.
Two-dimensional finite elements: basic triangular element, basic rectangular
elements, higher-order finite elements. Three-dimensional finite elements:
three-dimensional beam element, tetrahedral elements, hexahedral elements.
Axisymmetric elements. Isoparametric finite element formulation. Finite
elements for plate bending analysis: nonconforming elements, conforming
elements. Finite elements for shell analyses: flat elements, elements for
shells of revolution, general shell elements.
Bibliography:
1.
Soric, J.: Finite Element Method. Inžzenjerski prirucnik (Handbook for
Engineers), Školska knjiga, Zagreb 1996,149-193.( In Croatian)
2.Dawe,
D.J., Matrix and finite element displacement analysis of structures, Clarendon
Press, Oxford 1984.
3.Zienkiewicz,
O.C., Taylor, R.L., The Finite Element Method, Fourth Edition, Volume 1,
Mc Graw-Hill, London 1994.
4.Bathe,
K-J., Finite Element Procedures, Prentice Hall, New Jersey 1996
5.Krätzig,
W.B., Basar,Y., Tragwerke 3, Theorie und Anwendung der Methode der Finiten
Elemente, Springer, Berlin 1997.