The stochastic finite element method in structural reliability

1987 ◽  
pp. 84-109 ◽  
Author(s):  
Armen Der Kiureghian ◽  
Jyh-Bin Ke
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Reliability ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Element Method

scholarly journals The Least Squares Stochastic Finite Element Method in Structural Stability Analysis of Steel Skeletal Structures

2015 ◽  
Vol 20 (2) ◽  
pp. 299-318 ◽  
Author(s):  
M. Kamiński ◽  
J. Szafran
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Least Squares ◽  
Structural Reliability ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Skeletal Structures ◽  
The Stability ◽  
Element Method

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.

Modal properties of macaw palm fruit-rachilla system: An approach by the stochastic finite element method (SFEM)

2021 ◽  
Vol 184 ◽  
pp. 106099
Author(s):  
Fábio Lúcio Santos ◽  
Francisco Scinocca ◽  
Deisenara de Siqueira Marques ◽  
Nara Silveira Velloso ◽  
Flora Maria de Melo Villar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stochastic Finite Element Method ◽  
Stochastic Finite Element ◽  
Palm Fruit ◽  
Modal Properties ◽  
Macaw Palm ◽  
Element Method
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