Self-adaptive conjugate method for a robust and efficient performance measure approach for reliability-based design optimization

Behrooz Keshtegar, Shahrizan Baharom, Ahmed El-Shafie

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The advanced mean value and hybrid mean value methods are commonly used to evaluate the probabilistic constraint of reliability-based design optimization (RBDO) problems. These iterative methods can yield unstable solutions to highly nonlinear performance functions. The conjugate gradient analysis (CGA) and modified chaos control (MCC) algorithms have recently been employed to achieve the stabilization of reliability analysis in RBDO problems. However, the CGA and the MCC methods can be inefficient for convex performance functions. In this paper, a self-adaptive conjugate gradient (SCG) method is proposed to improve the efficiency of the minimum performance target point (MPTP) search based on an adaptive conjugate scalar factor for highly nonlinear concave and convex problems. With this aim, the conjugate search direction is adaptively computed using the mean value of the previous performance function with a limited conjugate scalar factor. The efficiency and robustness of the proposed SCG algorithm are compared with those of different reliability methods using five nonlinear concave/convex reliability problems and two mathematical/structural RBDO examples. The results indicate that the SCG method accurately converges after less iterations compared to other existing reliability methods. The SCG method is a robust iterative formula for inverse reliability analysis and RBDO.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalEngineering with Computers
DOIs
Publication statusAccepted/In press - 4 Jul 2017

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Performance Measures
Conjugate Gradient Method
Conjugate gradient method
Mean Value
Chaos Control
Conjugate Gradient
Reliability Analysis
Reliability analysis
Chaos theory
Scalar
Probabilistic Constraints
Optimization Problem
Structural Reliability
Iteration
Inverse Analysis
Conjugate Gradient Algorithm
Control Algorithm
Design optimization
Iterative methods
Stabilization

Keywords

  • Probabilistic constraint
  • Reliability analysis
  • Reliability-based design optimization
  • Self-adaptive conjugate gradient

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Engineering(all)
  • Computer Science Applications

Cite this

Self-adaptive conjugate method for a robust and efficient performance measure approach for reliability-based design optimization. / Keshtegar, Behrooz; Baharom, Shahrizan; El-Shafie, Ahmed.

In: Engineering with Computers, 04.07.2017, p. 1-16.

Research output: Contribution to journalArticle

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