Advanced search
Publication Cover
Mechanics Based Design of Structures and Machines
An International Journal
Volume 33, 2005 - Issue 2
Submit an article Journal homepage
522
Views
79
CrossRef citations to date
0
Altmetric
Original Articles

Performance Moment Integration (PMI) Method for Quality Assessment in Reliability-Based Robust Design Optimization

Byeng D. Youn Center for Computer-Aided Design and Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa, Iowa City, Iowa, USA
,
Kyung K. Choi Center for Computer-Aided Design and Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa, Iowa City, Iowa, USACorrespondence[email protected]
&
Kiyoung Yi Center for Computer-Aided Design and Department of Mechanical & Industrial Engineering, College of Engineering, The University of Iowa, Iowa City, Iowa, USA
Pages 185-213 | Received 01 Feb 2005, Published online: 07 Feb 2007

Citations (79)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (5)

Shuang Cao, Guoan Chen, Yuxing Peng, Hao Lu & Fengbin Ren. (2022) Uncertainty analysis and time-dependent reliability estimation for the main shaft device of a mine hoist. Mechanics Based Design of Structures and Machines 50:7, pages 2221-2236.
Read now
Fran Sérgio Lobato, Márcio Aurelio da Silva, Aldemir Ap Cavalini Jr & Valder Steffen Jr. (2020) Reliability-based robust multi-objective optimization applied to engineering system design. Engineering Optimization 52:1, pages 1-21.
Read now
Chunmei Lü, Yimin Zhang, Xingang Wang & He Li. (2015) Frequency Reliability-Based Robust Design of the Suspension Device of a Jarring Machine with Arbitrary Distribution Parameters. Mechanics Based Design of Structures and Machines 43:4, pages 487-500.
Read now
Zhangli Hu & Fenfen Xiong. (2015) An Anisotropic Sparse Grid Numerical Integration-Based Statistic Moment Estimation Method. Mechanics Based Design of Structures and Machines 43:3, pages 342-358.
Read now
Pingfeng Wang, Zequn Wang & Abdulaziz T. Almaktoom. (2014) Dynamic reliability-based robust design optimization with time-variant probabilistic constraints. Engineering Optimization 46:6, pages 784-809.
Read now

Articles from other publishers (74)

Zeng Meng, Qiaochu Qian, Mengqiang Xu, Bo Yu, Ali Rıza Yıldız & Seyedali Mirjalili. (2023) PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation. Computer Methods in Applied Mechanics and Engineering 414, pages 116172.
Crossref
Zeng Meng, Betül Sultan Yıldız, Gang Li, Changting Zhong, Seyedali Mirjalili & Ali Riza Yildiz. (2023) Application of state-of-the-art multiobjective metaheuristic algorithms in reliability-based design optimization: a comparative study. Structural and Multidisciplinary Optimization 66:8.
Crossref
Hashem Mehanpour, Seyed Rohollah Hoseini Vaez & Mohammad Ali Fathali. (2023) A multi-step approach for reliability-based robust design optimization of truss structures. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, pages 1748006X2311526.
Crossref
Jolan Wauters, Joris Degroote, Ivo Couckuyt & Guillaume Crevecoeur. (2022) SAMURAI: A New Asynchronous Bayesian Optimization Technique for Optimization-Under-Uncertainty. AIAA Journal 60:11, pages 6133-6156.
Crossref
Mingyang Li & Zequn Wang. (2022) Deep reliability learning with latent adaptation for design optimization under uncertainty. Computer Methods in Applied Mechanics and Engineering 397, pages 115130.
Crossref
Titu-Marius BĂJENESCU. (2022) Quality and Reliability Evolution of Electronic Components. Electrotehnica, Electronica, Automatica 70:2, pages 1-8.
Crossref
Gustavo Barbosa Libotte, Fran Sérgio Lobato, Francisco Duarte Moura Neto & Gustavo Mendes Platt. (2022) A Novel Reliability-Based Robust Design Multiobjective Optimization Formulation Applied in Chemical Engineering. Industrial & Engineering Chemistry Research 61:9, pages 3483-3501.
Crossref
Liangqi Wan, Linhan Ouyang, Tianyu Zhou & Yuejian Chen. (2022) An improved reliability-based robust design optimization method using Bayesian seemingly unrelated regression and multivariate loss function. Structural and Multidisciplinary Optimization 65:2.
Crossref
Can Bogoclu, Dirk Roos & Tamara Nestorović. (2021) Local Latin hypercube refinement for multi-objective design uncertainty optimization. Applied Soft Computing 112, pages 107807.
Crossref
Erdem Acar, Gamze Bayrak, Yongsu Jung, Ikjin Lee, Palaniappan Ramu & Suja Shree Ravichandran. (2021) Modeling, analysis, and optimization under uncertainties: a review. Structural and Multidisciplinary Optimization 64:5, pages 2909-2945.
Crossref
Haichao An, Byeng D. Youn & Heung Soo Kim. (2021) Reliability-based Design Optimization of Laminated Composite Structures under Delamination and Material Property Uncertainties. International Journal of Mechanical Sciences 205, pages 106561.
Crossref
Gang Li, Ye Liu, Gang Zhao & Yan Zeng. (2021) Reliability-Based Robust Design Optimization in Consideration of Manufacturing Tolerance by Multi-Objective Evolutionary Optimization with Repair Algorithm. International Journal of Computational Methods 18:05, pages 2150005.
Crossref
Tayyab Zafar, Yanwei Zhang & Zhonglai Wang. (2020) An efficient Kriging based method for time-dependent reliability based robust design optimization via evolutionary algorithm. Computer Methods in Applied Mechanics and Engineering 372, pages 113386.
Crossref
Wanxin He, Yan Zeng & Gang Li. (2020) An adaptive polynomial chaos expansion for high-dimensional reliability analysis. Structural and Multidisciplinary Optimization 62:4, pages 2051-2067.
Crossref
Mi Xiao, Jinhao Zhang & Liang Gao. (2020) A system active learning Kriging method for system reliability-based design optimization with a multiple response model. Reliability Engineering & System Safety 199, pages 106935.
Crossref
Debiao Meng, Zhengguo Hu, Peng Wu, Shun-Peng Zhu, José A. F. O. Correia & Abílio M. P. De Jesus. (2020) Reliability-based optimisation for offshore structures using saddlepoint approximation. Proceedings of the Institution of Civil Engineers - Maritime Engineering 173:2, pages 33-42.
Crossref
Juhee Lim, Yong Sok Jang, Hong Suk Chang, Jong Chan Park & Jongsoo Lee. (2019) Multi-objective genetic algorithm in reliability-based design optimization with sequential statistical modeling: an application to design of engine mounting. Structural and Multidisciplinary Optimization 61:3, pages 1253-1271.
Crossref
Mingyang Li & Zequn Wang. (2019) Surrogate model uncertainty quantification for reliability-based design optimization. Reliability Engineering & System Safety 192, pages 106432.
Crossref
Shui Yu, Zhonglai Wang & Zhihua Wang. (2019) Time-Dependent Reliability-Based Robust Design Optimization Using Evolutionary Algorithm. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering 5:2.
Crossref
Chao Hu, Byeng D. Youn & Pingfeng WangChao Hu, Byeng D. Youn & Pingfeng Wang. 2019. Engineering Design under Uncertainty and Health Prognostics. Engineering Design under Uncertainty and Health Prognostics 101 156 .
L. Saad, A. Chateauneuf & W. Raphael. (2017) Robust formulation for Reliability-based design optimization of structures. Structural and Multidisciplinary Optimization 57:6, pages 2233-2248.
Crossref
Behrooz Keshtegar & Peng Hao. (2018) Enriched self-adjusted performance measure approach for reliability-based design optimization of complex engineering problems. Applied Mathematical Modelling 57, pages 37-51.
Crossref
Jongin Choi, Mingeon Kim, Kyeonghwan Kang, Ikjin Lee & Bong Jae Lee. (2018) Robust optimization of a tandem grating solar thermal absorber. Journal of Quantitative Spectroscopy and Radiative Transfer 209, pages 129-136.
Crossref
Byungsu Kang, K. K. Choi & Dong-Hun Kim. (2018) An Efficient Serial-Loop Strategy for Reliability-Based Robust Optimization of Electromagnetic Design Problems. IEEE Transactions on Magnetics 54:3, pages 1-4.
Crossref
Peng Hao, Yutian Wang, Xuanxiu Liu, Bo Wang, Gang Li & Lipeng Wang. (2017) An efficient adaptive-loop method for non-probabilistic reliability-based design optimization. Computer Methods in Applied Mechanics and Engineering 324, pages 689-711.
Crossref
Ha-Rok Bae, Clark L. Daniel & Ed Alyanak. (2017) Sequential Subspace Robustness Assessment and Sensitivity Analysis. AIAA Journal 55:2, pages 610-623.
Crossref
Nicolas Lelièvre, Pierre Beaurepaire, Cécile Mattrand, Nicolas Gayton & Abdelkader Otsmane. (2016) On the consideration of uncertainty in design: optimization - reliability - robustness. Structural and Multidisciplinary Optimization 54:6, pages 1423-1437.
Crossref
Arvind Rajan, Melanie Po‐Leen Ooi, Ye Chow Kuang & Serge N. Demidenko. (2016) Efficient analytical moments for the robustness analysis in design optimisation. The Journal of Engineering 2016:11, pages 423-430.
Crossref
Asma Chakri, Rabia Khelif & Mohamed Benouaret. (2016) Improved bat algorithm for structural reliability assessment: application and challenges. Multidiscipline Modeling in Materials and Structures 12:2, pages 218-253.
Crossref
Dong-Wook Kim, Byungsu Kang, K. K. Choi & Dong-Hun Kim. (2016) A Comparative Study on Probabilistic Optimization Methods for Electromagnetic Design. IEEE Transactions on Magnetics 52:3, pages 1-4.
Crossref
Ligang Cai, Ziling Zhang, Qiang Cheng, Zhifeng Liu, Peihua Gu & Yin Qi. (2016) An approach to optimize the machining accuracy retainability of multi-axis NC machine tool based on robust design. Precision Engineering 43, pages 370-386.
Crossref
M. Asafuddoula, Hemant K. Singh & Tapabrata Ray. (2015) Six-Sigma Robust Design Optimization Using a Many-Objective Decomposition-Based Evolutionary Algorithm. IEEE Transactions on Evolutionary Computation 19:4, pages 490-507.
Crossref
Xiaonan Wu, Wei Dai, Yu Zhao, Fen Kuang & Guixiu Luo. (2015) Research on multi-stage manufacturing process reliability improvement. Research on multi-stage manufacturing process reliability improvement.
Tapabrata Ray, Md Asafuddoula, Hemant Kumar Singh & Khairul Alam. (2015) An Approach to Identify Six Sigma Robust Solutions of Multi/Many-Objective Engineering Design Optimization Problems. Journal of Mechanical Design 137:5.
Crossref
Zhimin Xi, Byeng D. Youn, Byung C. Jung & Joung Taek Yoon. (2014) Random field modeling with insufficient field data for probability analysis and design. Structural and Multidisciplinary Optimization 51:3, pages 599-611.
Crossref
Fenfen Xiong, Ying Xiong & Bin Xue. (2015) Trajectory Optimization under Uncertainty based on Polynomial Chaos Expansion. Trajectory Optimization under Uncertainty based on Polynomial Chaos Expansion.
T.-M.I. Băjenescu & M.I. Bâzu. 2015. Reliability Characterisation of Electrical and Electronic Systems. Reliability Characterisation of Electrical and Electronic Systems 63 82 .
Qiang Cheng, Chuanming Xiao, Guojun Zhang, Peihua Gu & Ligang Cai. (2014) An Analytical Robust Design Optimization Methodology Based on Axiomatic Design Principles. Quality and Reliability Engineering International 30:7, pages 1059-1073.
Crossref
Ameneh Forouzandeh Shahraki & Rassoul Noorossana. (2014) Reliability-based robust design optimization: A general methodology using genetic algorithm. Computers & Industrial Engineering 74, pages 199-207.
Crossref
David Yoo & Ikjin Lee. (2013) Sampling-based approach for design optimization in the presence of interval variables. Structural and Multidisciplinary Optimization 49:2, pages 253-266.
Crossref
Zequn Wang, Abdulaziz T. Almaktoom & Pingfeng Wang. (2014) Probabilistic Design of Smart Sensing Functions for Failure Diagnostics and Prognostics. Probabilistic Design of Smart Sensing Functions for Failure Diagnostics and Prognostics.
Vijay Rathod, Om Prakash Yadav, Ajay Rathore & Rakesh Jain. (2013) Optimizing reliability-based robust design model using multi-objective genetic algorithm. Computers & Industrial Engineering 66:2, pages 301-310.
Crossref
Chao Hu, Byeng D. Youn & Heonjun Yoon. (2012) An adaptive dimension decomposition and reselection method for reliability analysis. Structural and Multidisciplinary Optimization 47:3, pages 423-440.
Crossref
Gao Rong Sun. (2012) Stochastic Response Surface Method with Enhanced Weighting Strategy. Applied Mechanics and Materials 224, pages 272-279.
Crossref
Ikjin Lee, Yoojeong Noh & David Yoo. (2012) A Novel Second-Order Reliability Method (SORM) Using Noncentral or Generalized Chi-Squared Distributions. Journal of Mechanical Design 134:10.
Crossref
Fenfen Xiong, Yu Liu, Ying Xiong & Shuxing Yang. (2012) A double weighted stochastic response surface method for reliability analysis. Journal of Mechanical Science and Technology 26:8, pages 2573-2580.
Crossref
Xiaoping Du. (2012) Robust design optimization with bivariate quality characteristics. Structural and Multidisciplinary Optimization 46:2, pages 187-199.
Crossref
Zhimin Xi, Chao Hu & Byeng D. Youn. (2011) A comparative study of probability estimation methods for reliability analysis. Structural and Multidisciplinary Optimization 45:1, pages 33-52.
Crossref
OM PRAKASH YADAV, SUNIL S. BHAMARE & AJAY PAL SINGH RATHORE. (2012) A FRAMEWORK FOR CAPTURING DEGRADATION BEHAVIOR IN RELIABILITY-BASED ROBUST DESIGN OPTIMIZATION. International Journal of Reliability, Quality and Safety Engineering 18:06, pages 531-554.
Crossref
Vijay Rathod, Om Prakash Yadav, Ajay Rathore & Rakesh Jain. (2011) Reliability-based robust design optimization: A comparative study. Reliability-based robust design optimization: A comparative study.
Dae-Woong Park. (2011) The Reliability-based Design Optimization for the Military Communication Equipment considering the Dimension Uncertainty. Transactions of the Korean Society for Noise and Vibration Engineering 21:11, pages 1051-1058.
Crossref
Shen Lijuan, Yang Jun & Zhao Yu. (2011) An integration design optimization framework of robust design, axiomatic design, and reliability-based design. Quality and Reliability Engineering International 27:7, pages 959-968.
Crossref
Byeng D. Youn, Chao Hu & Pingfeng Wang. (2011) Resilience-Driven System Design of Complex Engineered Systems. Journal of Mechanical Design 133:10.
Crossref
Ikjin Lee, K. K. Choi & Liang Zhao. (2011) Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method. Structural and Multidisciplinary Optimization 44:3, pages 299-317.
Crossref
Pingfeng Wang, Chao Hu & Byeng D. Youn. (2011) A Generalized Complementary Intersection Method (GCIM) for System Reliability Analysis. Journal of Mechanical Design 133:7.
Crossref
Chao Hu & Byeng D. Youn. (2011) An asymmetric dimension-adaptive tensor-product method for reliability analysis. Structural Safety 33:3, pages 218-231.
Crossref
Ikjin Lee, K. K. Choi, Yoojeong Noh, Liang Zhao & David Gorsich. (2011) Sampling-Based Stochastic Sensitivity Analysis Using Score Functions for RBDO Problems With Correlated Random Variables. Journal of Mechanical Design 133:2, pages 021003.
Crossref
Hua Ming Song & Yi Zhong Ma. (2010) A Robust Design for a Complex System Based Satisfactory Optimization. Applied Mechanics and Materials 26-28, pages 1232-1236.
Crossref
Om Prakash Yadav, Sunil S. Bhamare & Ajay Rathore. (2009) Reliability‐based robust design optimization: A multi‐objective framework using hybrid quality loss function. Quality and Reliability Engineering International 26:1, pages 27-41.
Crossref
Byeng D. Youn & Zhimin Xi. (2008) Reliability-based robust design optimization using the eigenvector dimension reduction (EDR) method. Structural and Multidisciplinary Optimization 37:5, pages 475-492.
Crossref
Sunil S. Bhamare, Om Prakash Yadav & Ajay Pal Singh Rathore. (2008) A multi-objective optimization approach for defining optimal design specifications considering performance degradation. A multi-objective optimization approach for defining optimal design specifications considering performance degradation.
Byeng D. Youn, Zhimin Xi & Pingfeng Wang. (2008) Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis. Structural and Multidisciplinary Optimization 37:1, pages 13-28.
Crossref
Ikjin Lee, K.K. Choi, Liu Du & David Gorsich. (2008) Dimension reduction method for reliability-based robust design optimization. Computers & Structures 86:13-14, pages 1550-1562.
Crossref
J. H. Choi, W. H. Lee, J. J. Park & B. D. Youn. (2007) A study on robust design optimization of layered plate bonding process considering uncertainties. Structural and Multidisciplinary Optimization 35:6, pages 531-540.
Crossref
Sunil Bhamare, Ajay Pal Singh Rathore & Om Prakash Yadav. A Multi-Objective Reliability-based Robust Design Optimization Framework Using Hybrid Quality Loss Function. A Multi-Objective Reliability-based Robust Design Optimization Framework Using Hybrid Quality Loss Function.
Byeng D. Youn, Kyung K. Choi, Liu Du & David Gorsich. (2007) Integration of Possibility-Based Optimization and Robust Design for Epistemic Uncertainty. Journal of Mechanical Design 129:8, pages 876-882.
Crossref
B. D. Youn. (2007) Adaptive-loop method for non-deterministic design optimization. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 221:2, pages 107-116.
Crossref
Zhimin Xi, Byeng D. Youn & David A. Gorsich. Reliability-Based Robust Design Optimization Using the EDR Method. Reliability-Based Robust Design Optimization Using the EDR Method.
Woo-Hyuk Lee, Jung-Jin Park, Joo-Ho Choi & Soo-Yong Lee. (2007) A Study on Robust Design Optimization of Layered Plates Bonding Process Considering Uncertainties. Transactions of the Korean Society of Mechanical Engineers A 31:1, pages 113-120.
Crossref
Taik-Min Lee, Tae-Goo Kang, Jeong-Soon Yang, Jeong-Dai Jo, Kwang-Young Kim, Byung-Oh Choi & Dong-Soo Kim. (2007) Theoretical Analysis and Experimental Characterization of DoD Metal-Jet System. Transactions of the Korean Society of Mechanical Engineers A 31:1, pages 11-17.
Crossref
Chul-Kyun Shin. (2007) Design Guidance of Jig/Fixture for Flexible Manufacturing System. Transactions of the Korean Society of Mechanical Engineers A 31:1, pages 1-10.
Crossref
Byeng Youn, Zhimin Xi, Lee Wells & Pingfeng Wang. (2006) Enhanced Dimension-Reduction (eDR) Method for Sensitivity-Free Uncertainty Quantification. Enhanced Dimension-Reduction (eDR) Method for Sensitivity-Free Uncertainty Quantification.
. (2006) Application of the Robust and Reliability-Based Design Optimization to the Aircraft Wing Design. Journal of the Korean Society for Aeronautical & Space Sciences 34:8, pages 24-32.
Crossref
K. K. Choi, Ikjin Lee & David Gorsich. 2006. III European Conference on Computational Mechanics. III European Conference on Computational Mechanics 381 381 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.