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Title: The least squares stochastic finite element method in structural stability analysis of steel skeletal structures
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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
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IJAME, volume 20, number 2 (2015)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Mechanical Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2015)
Last modified:
Jul 6, 2023
In our library since:
Apr 12, 2023
Number of object content hits:
72
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/80786
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 25 (2020)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 24 (2019)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 23 (2018)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 22 (2017)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 21 (2016)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 1 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 2 (2015)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 2 (2015) - Contents
- Heat and mass transfer in a second grade fluid over a stretching vertical surface in a porous medium
- The dynamics of a parametrically driven damped pendulum
- Effect of capillarity on fourth order nonlinear evolution equation for two stokes wave trains in deep water in the presence of air flowing over water
- Dynamic analysis of historic railway bridges in Poland in the context of adjusting them to PENDOLINO trains
- The least squares stochastic finite element method in structural stability analysis of steel skeletal structures
- Analytical investigation and improvement of performance of a proton exchange membrane (PEM) fuel cell in mobile applications
- First order chemical reaction effects on exponentially accelerated vertical plate with variable mass diffusion in the presence of thermal radiation
- The fundamental solutions for the stress intensity factors of modes I, II and III. The axially symmetric problem
- Determination of material parameters for microbuckling analysis of fiber reinforced polymer matrix composites
- Mathematical modeling of magneto pulsatile blood flow through a porous medium with a heat source
- Analytical solution to the MHD flow of micropolar fluid over a linear stretching sheet
- Hydrodynamic and hydromagnetic stability of two superposed elastico - viscous fluids of different permeability with dust in porous medium
- Derivation of relations and analysis of tube bending processes using discontinuous fields of plastic strains. Part I. Derivation of geometric-analytic relationships. Part II. Discussion and analysis of the obtained results
- A synthesis model for forcing action arrangement in the system of reducing dynamic loads of a mobile machine
- Analysis of piston slap motion
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 3 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 4 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20, number 1 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
| Edition name | Date |
|---|---|
| The least squares stochastic finite element method in structural stability analysis of steel skeletal structures | Jul 6, 2023 |
