Publication detail

Computation of Equilibrium Paths in Nonlinear Finite Element Models

KALA, Z.

Original Title

Computation of Equilibrium Paths in Nonlinear Finite Element Models

English Title

Computation of Equilibrium Paths in Nonlinear Finite Element Models

Type

conference paper

Language

en

Original Abstract

In the present paper, equilibrium paths are simulated applying the nonlinear finite element model. On the equilibrium paths, there are identified critical points which contribute to understanding and quantification of stability processes in a nonlinear system. By means of nonlinear solution, bifurcation points from which two equilibrium path branches emanate and so there is no unique tangent were identified and drawn. Mutual position of limit and bifurcation points was identified. The paper describes multidisciplinary problems of the analysis of limit states of nonlinear systems. The methods of stochastic and sensibility analyses which are frequently applied to assessment of the safety and reliability of supporting structural systems are discussed.

English abstract

In the present paper, equilibrium paths are simulated applying the nonlinear finite element model. On the equilibrium paths, there are identified critical points which contribute to understanding and quantification of stability processes in a nonlinear system. By means of nonlinear solution, bifurcation points from which two equilibrium path branches emanate and so there is no unique tangent were identified and drawn. Mutual position of limit and bifurcation points was identified. The paper describes multidisciplinary problems of the analysis of limit states of nonlinear systems. The methods of stochastic and sensibility analyses which are frequently applied to assessment of the safety and reliability of supporting structural systems are discussed.

Keywords

bar, strut, steel, buckling, reliability, imperfection, bifurcation

Released

17.07.2016

ISBN

2261-236X

Periodical

MATEC Web of Conferences

Year of study

76

Number

1

State

FR

Pages from

1

Pages to

5

Pages count

5

Documents

BibTex


@inproceedings{BUT131438,
  author="Zdeněk {Kala}",
  title="Computation of Equilibrium Paths in Nonlinear Finite Element Models",
  annote="In the present paper, equilibrium paths are simulated applying the nonlinear finite element model. On the equilibrium paths, there are identified critical points which contribute to understanding and quantification of stability processes in a nonlinear system. By means of nonlinear solution, bifurcation points from which two equilibrium path branches emanate and so there is no unique tangent were identified and drawn. Mutual position of limit and bifurcation points was identified. The paper describes multidisciplinary problems of the analysis of limit states of nonlinear systems. The methods of stochastic and sensibility analyses which are frequently applied to assessment of the safety and reliability of supporting structural systems are discussed.",
  booktitle="20th International Conference on Circuits, Systems, Communications and Computers (CSCC 2016)",
  chapter="131438",
  doi="10.1051/matecconf/20167604026",
  howpublished="print",
  number="1",
  year="2016",
  month="july",
  pages="1--5",
  type="conference paper"
}