Object structure

Creator:

Kamiński, Marcin ; Szafran, Jacek

Contributor:

Jurczak, Paweł - red.

Title:

The least squares stochastic finite element method in structural stability analysis of steel skeletal structures

Group publication title:

IJAME, volume 20 (2015)

Subject and Keywords:

weighted least squares method ; Stochastic Finite Element Method ; generalized stochastic perturbation technique ; stability problems ; steel skeletal structures

Abstract:

The main purpose of this work is to verify the influence of the weighting procedure in the Least Squares Method on the probabilistic moments resulting from the stability analysis of steel skeletal structures. We discuss this issue also in the context of the geometrical nonlinearity appearing in the Stochastic Finite Element Method equations for the stability analysis and preservation of the Gaussian probability density function employed to model the Young modulus of a structural steel in this problem. ; The weighting procedure itself (with both triangular and Dirac-type) shows rather marginal influence on all probabilistic coefficients under consideration. This hybrid stochastic computational technique consisting of the FEM and computer algebra systems (ROBOT and MAPLE packages) may be used for analogous nonlinear analyses in structural reliability assessment.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2015

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.1515/ijame-2015-0020

Pages:

299-318

Source:

IJAME, volume 20, number 2 (2015)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego