Publication result detail

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

BALÁZS, I.

Original Title

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

English Title

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

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

BALÁZS, I.

RIV year

2016

Released

08.04.2015

Publisher

Technická univerzita v Košicích, Stavební fakulta

Location

Jasná, Slovensko

ISBN

978-80-553-1988-9

Book

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

ISBN

NEUVEDENO

Pages from

1

Pages to

8

Pages count

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"
}