Detail publikačního výsledku

Application of the finite difference method to stability problems of metal members

BALÁZS, I.

Originální název

Application of the finite difference method to stability problems of metal members

Anglický název

Application of the finite difference method to stability problems of metal members

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Application of slender metal members in building industry allows us to design light structures. On the other hand, slender members in compression or bending are prone to buckling. Since buckling resistance is usually decisive, it has to be taken into account carefully. Determination of critical force or moment is thus a crucial step in stability analysis. There are several ways to determine these important values. The paper focuses on application of the finite difference method on differential equations of buckling. These equations are converted to systems of algebraic equations using finite differences and therefore expressed using matrices and vectors. The problem of critical force or moment is then handled as eigenvalue problem of the system matrix. The inverse power method is applied to determine the eigenvalues and eigenvectors. A VBA-based code comprising above mentioned algorithms is created to perform studies. Appropriateness of the finite difference method applied to stability problems is studied. Numerical analyses based on finite element method software are performed and results are compared with results obtained by the finite difference method. Good compliance of results confirms its suitability.

Anglický abstrakt

Application of slender metal members in building industry allows us to design light structures. On the other hand, slender members in compression or bending are prone to buckling. Since buckling resistance is usually decisive, it has to be taken into account carefully. Determination of critical force or moment is thus a crucial step in stability analysis. There are several ways to determine these important values. The paper focuses on application of the finite difference method on differential equations of buckling. These equations are converted to systems of algebraic equations using finite differences and therefore expressed using matrices and vectors. The problem of critical force or moment is then handled as eigenvalue problem of the system matrix. The inverse power method is applied to determine the eigenvalues and eigenvectors. A VBA-based code comprising above mentioned algorithms is created to perform studies. Appropriateness of the finite difference method applied to stability problems is studied. Numerical analyses based on finite element method software are performed and results are compared with results obtained by the finite difference method. Good compliance of results confirms its suitability.

Klíčová slova

buckling, eigenvalue, finite difference method, metal member, stability

Klíčová slova v angličtině

buckling, eigenvalue, finite difference method, metal member, stability

Autoři

BALÁZS, I.

Rok RIV

2016

Vydáno

08.04.2015

Nakladatel

Technická univerzita v Košicích, Stavební fakulta

Místo

Jasná, Slovensko

ISBN

978-80-553-1988-9

Kniha

Young Scientist 2015, 7th International Scientific Conference of Civil Engineering and Architecture

ISSN

NEUVEDENO

Strany od

1

Strany do

8

Strany počet

8

BibTex

@inproceedings{BUT112659,
  author="Ivan {Balázs}",
  title="Application of the finite difference method to stability problems of metal members",
  booktitle="Young Scientist 2015, 7th International Scientific Conference of Civil Engineering and Architecture",
  year="2015",
  pages="1--8",
  publisher="Technická univerzita v Košicích, Stavební fakulta",
  address="Jasná, Slovensko",
  isbn="978-80-553-1988-9"
}