Adaptive second order step length algorithm for inverse reliability analysis

•A novel algorithm for reliability-based design optimization is developed and validated.•A second order approximation is used for optimal step length calculation.•A principled scheme is presented to avoid calculating the Hessian matrix.•Benchmark and engineering problems illustrate the behavior and...

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Bibliographic Details
Published in:	Advances in engineering software (1992) Vol. 146; p. 102831
Main Authors:	Libotte, Gustavo Barbosa, Lobato, Fran Sérgio, Moura Neto, Francisco Duarte, Platt, Gustavo Mendes
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.08.2020
Subjects:	Adaptive step length Constrained nonlinear optimization Inverse reliability analysis Performance measure approach Reliability-based optimization Performance measure approach Reliability-based optimization Inverse reliability analysis Adaptive step length Constrained nonlinear optimization
ISSN:	0965-9978
Online Access:	Get full text
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Summary:	•A novel algorithm for reliability-based design optimization is developed and validated.•A second order approximation is used for optimal step length calculation.•A principled scheme is presented to avoid calculating the Hessian matrix.•Benchmark and engineering problems illustrate the behavior and advantages of the proposed method.•The method presents weak sensitivity to the choice of control parameters and low computational cost. In order to obtain reliable operating conditions, uncertainties must be taken into account in the mathematical modeling of systems and processes. An uncertainty is measured by the probability of failure of the process, which can be tackled by inverse reliability analysis. This analysis guarantees the achievement of the probabilistic constraints at a specified level. Here, we propose a new methodology for obtaining optimum operating conditions, considering certain probabilistic constraints. The method uses a second order approximation for the calculation of an adaptive step length, in a technique based on steepest descent method, to optimize the performance function. The efficiency of the proposed technique is evaluated in some benchmark problems and in an engineering problem, showing that it outperforms other recent methodologies in convergence capability and stability, while being robust in the choice of control parameters.
ISSN:	0965-9978
DOI:	10.1016/j.advengsoft.2020.102831