Reliability-based weight reduction optimization of forearm of bucket-wheel stacker reclaimer considering multiple uncert

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Reliability-based weight reduction optimization of forearm of bucket-wheel stacker reclaimer considering multiple uncertainties Wei Sun 1 & Xiang Peng 1 & Lintao Wang 1

&

Jing Dou 1 & Xinghua Geng 1

Received: 21 December 2019 / Revised: 17 April 2020 / Accepted: 8 May 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract This paper focuses on the weight reduction optimization of a forearm of a bucket-wheel stacker reclaimer considering uncertainties of structural parameters, material properties, loads, and surrogate model. However, the optimization problem is a highdimensional problem, with dozens of independent variables, which has negative effects on the optimization efficiency. Considering that millions of iterations are required for the reliability-based optimization, the finite element model can cause overwhelming computational cost. In addition, due to its complex structure and working conditions, multiple uncertainties exist in practical applications and affect the reliability of a design, especially the uncertainty of the surrogate model. To address these challenges, the sensitivity analysis is performed to improve the optimization efficiency by selecting main factors. The Kriging model with high accuracy is constructed to reduce the computational cost. In order to improve the optimization efficiency further, the deterministic optimization is performed firstly, and the optimal design is used as the initial point of the reliability-based optimization algorithm. For estimating the reliability, the multiple uncertainty models are constructed. Finally, according to the design requirements and taking the multiple uncertainties into account, the reliability-based optimization is proposed and carried out. The result proves that the weight is reduced greatly and the reliability is kept at a high level. Keywords Forearm of bucket-wheel stacker reclaimer . Reliability-based weight reduction optimization . Multiple uncertainties . Kriging model

1 Introduction As one of the most widely used loading and unloading machines, a bucket-wheel stacker reclaimer plays an important role in the places such as large open pit mines, power plants, gas plants, and large ports as well as the fields like power, transportation, mining, etc. (Wang 2012; Wu et al. 2014; Yang et al. 2015). The bucketwheel stacker reclaimer has many advantages such as large handling capacity, high level of mechanized operations, and easy to achieve automatic control (Shang et al. 2013).

Responsible Editor: Somanath Nagendra Electronic supplementary material The online version of this article (https://doi.org/10.1007/s00158-020-02627-y) contains supplementary material, which is available to authorized users. * Lintao Wang [email protected] 1

School of Mechanical Engineering, Dalian University of Technology, Dalian City 116024, Liaoning Province, China

The main structure of a bucket-wheel stacker reclaimer is shown in Fig. 1. The forearm serves as a connecting part between the bucket wheel and the body