Step length adjustment iterative algorithm for inverse reliability analysis

2016 ◽  
Vol 54 (4) ◽  
pp. 999-1009 ◽  
Author(s):  
Ping Yi ◽  
Zuo Zhu
Keyword(s):  
Reliability Analysis ◽  
Iterative Algorithm ◽  
Step Length ◽  
Inverse Reliability Analysis

Adaptive second order step length algorithm for inverse reliability analysis

2020 ◽  
Vol 146 ◽  
pp. 102831
Author(s):  
Gustavo Barbosa Libotte ◽  
Fran Sérgio Lobato ◽  
Francisco Duarte Moura Neto ◽  
Gustavo Mendes Platt
Keyword(s):  
Reliability Analysis ◽  
Step Length ◽  
Second Order ◽  
Inverse Reliability Analysis

scholarly journals A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search

2019 ◽  
Vol 9 (12) ◽  
pp. 2546 ◽  
Author(s):  
Huang ◽  
Huang ◽  
Huang
Keyword(s):  
Reliability Analysis ◽  
Line Search ◽  
Structural Reliability ◽  
Step Length ◽  
Sensitivity Factor ◽  
Structural Reliability Analysis ◽  
Armijo Line Search ◽  
Finite Step ◽  
Existing Form ◽  
Novel Algorithm

This paper presents a novel algorithm for structural reliability analysis based on the finite step length and Armijo line search to remove the drawbacks of the Hasofer–Lind and Rakwitz–Fiessler (HL-RF) algorithm that may be subjected to non-convergence in the first-order reliability method (FORM). Initially, the sensitivity factor with finite step length is introduced for preventing the iterative process of the algorithm from entering a periodic loop. Subsequently, an optimization method based on the sufficient descent condition with the Armijo line search technique is proposed. With that, the initial step length and adjusting coefficient are optimized to enhance the applicability of the algorithm emphatically for highly nonlinear functions. A comparison analysis is carried out between the proposed algorithm and existing FORM-based algorithms to validate the robustness and efficiency of the proposed algorithm. The results of this demonstrate that the proposed algorithm is superior to the HL-RF algorithm in terms of robustness and surpass the other existing FORM-based algorithms in connection to efficiency.

Iterative Algorithm for Structure Reliability Analysis Based on Support Vector Classification Method

2007 ◽  
Vol 353-358 ◽  
pp. 1009-1012
Author(s):  
Chao Ma ◽  
Zhen Zhou Lu
Keyword(s):  
Reliability Analysis ◽  
Iterative Algorithm ◽  
Limit State ◽  
Sampling Procedure ◽  
Support Vector ◽  
State Function ◽  
Limit State Function ◽  
Structure Reliability ◽  
Important Region ◽  
Actual Limit

For reliability analysis of structure with implicit limit state function, an iterative algorithm is presented on the basis of support vector classification machine. In the present method, the support vector classification machine is employed to construct surrogate of the implicit limit state function. By use of the proposed rational iteration and sampling procedure, the constructed support vector classification machine can converge to the actual limit state function at the important region, which contributes to the failure probability significantly. Then the precision of the reliability analysis is improved. The implementation of the presented method is given in detail, and the feasibility and the efficiency are demonstrated by the illustrations.

Sign in / Sign up

Export Citation Format

Share Document