Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation

This study proposes a decoupling approach based on first-order exponential function approximation for reliability-based optimization. It establishes an explicit relationship between the failure probability and design parameters within only one implementation of reliability analysis, without the repe...

Full description

Saved in:
Bibliographic Details
Main Authors: Haiwei Lin, Yiqun Ren, Hong Bao, Feng Zhang, Feifei Zhao, Xiya Bao
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/12/6856
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850156304662790144
author Haiwei Lin
Yiqun Ren
Hong Bao
Feng Zhang
Feifei Zhao
Xiya Bao
author_facet Haiwei Lin
Yiqun Ren
Hong Bao
Feng Zhang
Feifei Zhao
Xiya Bao
author_sort Haiwei Lin
collection DOAJ
description This study proposes a decoupling approach based on first-order exponential function approximation for reliability-based optimization. It establishes an explicit relationship between the failure probability and design parameters within only one implementation of reliability analysis, without the repeated reliability analysis involved in traditional approaches. Then, the obtained explicit exponential function approximation is used to decouple the reliability-based optimization problem and transform it into an equivalent deterministic optimization problem, where a general optimization algorithm can be adopted to solve steadily with a neglectable computational cost. The proposed approach is applied to conduct the reliability-based optimization of a centrifugal compressor impeller design. The results indicate that the proposed method can provide significantly improved computational efficiency while maintaining optimization accuracy comparable to that obtained by traditional double-loop optimization methods. Meanwhile, sensitivity analysis reveals the relative importance of design parameters to structural reliability.
format Article
id doaj-art-e6c1dde9d3a94bafbb4cfeda9cfbb7a6
institution OA Journals
issn 2076-3417
language English
publishDate 2025-06-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj-art-e6c1dde9d3a94bafbb4cfeda9cfbb7a62025-08-20T02:24:35ZengMDPI AGApplied Sciences2076-34172025-06-011512685610.3390/app15126856Reliability-Based Optimization of Impeller Structure Using Exponential Function ApproximationHaiwei Lin0Yiqun Ren1Hong Bao2Feng Zhang3Feifei Zhao4Xiya Bao5College of Mechano-Electronic Engineering, Xidian University, Xi’an 710071, ChinaXi’an Qinhua Natural Gas Co., Ltd., Xi’an 710071, ChinaCollege of Mechano-Electronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xi’an 710072, ChinaCollege of Mechano-Electronic Engineering, Xidian University, Xi’an 710071, ChinaSchool of Aerospace Engineering, Xiamen University, Xiamen 361005, ChinaThis study proposes a decoupling approach based on first-order exponential function approximation for reliability-based optimization. It establishes an explicit relationship between the failure probability and design parameters within only one implementation of reliability analysis, without the repeated reliability analysis involved in traditional approaches. Then, the obtained explicit exponential function approximation is used to decouple the reliability-based optimization problem and transform it into an equivalent deterministic optimization problem, where a general optimization algorithm can be adopted to solve steadily with a neglectable computational cost. The proposed approach is applied to conduct the reliability-based optimization of a centrifugal compressor impeller design. The results indicate that the proposed method can provide significantly improved computational efficiency while maintaining optimization accuracy comparable to that obtained by traditional double-loop optimization methods. Meanwhile, sensitivity analysis reveals the relative importance of design parameters to structural reliability.https://www.mdpi.com/2076-3417/15/12/6856impeller structurereliability-based optimizationexponential function approximationdecoupling methodsequential approximation optimization
spellingShingle Haiwei Lin
Yiqun Ren
Hong Bao
Feng Zhang
Feifei Zhao
Xiya Bao
Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation
Applied Sciences
impeller structure
reliability-based optimization
exponential function approximation
decoupling method
sequential approximation optimization
title Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation
title_full Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation
title_fullStr Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation
title_full_unstemmed Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation
title_short Reliability-Based Optimization of Impeller Structure Using Exponential Function Approximation
title_sort reliability based optimization of impeller structure using exponential function approximation
topic impeller structure
reliability-based optimization
exponential function approximation
decoupling method
sequential approximation optimization
url https://www.mdpi.com/2076-3417/15/12/6856
work_keys_str_mv AT haiweilin reliabilitybasedoptimizationofimpellerstructureusingexponentialfunctionapproximation
AT yiqunren reliabilitybasedoptimizationofimpellerstructureusingexponentialfunctionapproximation
AT hongbao reliabilitybasedoptimizationofimpellerstructureusingexponentialfunctionapproximation
AT fengzhang reliabilitybasedoptimizationofimpellerstructureusingexponentialfunctionapproximation
AT feifeizhao reliabilitybasedoptimizationofimpellerstructureusingexponentialfunctionapproximation
AT xiyabao reliabilitybasedoptimizationofimpellerstructureusingexponentialfunctionapproximation