Improved collaboration pursuing method for multidisciplinary robust design optimization

The collaboration pursuing method (CPM) is a computationally efficient approach for deterministic multidisciplinary design optimization (MDO). However, it has not been employed to handle problems with uncertainty. Moreover, obtaining actual uncertainty probability distributions is challenging. Compared to probability distributions, the interval information of uncertainties can be more easily obtained. Thus, multidisciplinary robust design optimization (MRDO) under interval uncertainty has been widely investigated. To overcome the inefficiency of existing methods for solving MRDO, this paper proposes an improved collaboration pursuing method (ICPM). In this method, the collaboration model (CM) is utilized to filter the samples that satisfy the coupled state equations in system analysis (SA) or multidisciplinary analysis (MDA). Then, a robustness discrepancy model (RDM) is developed to efficiently select candidate samples that meet the robustness requirements. Next, the mode pursuing sampling (MPS) method is utilized as a global optimizer to drive the optimization process and identify the robust optimum. Finally, a mathematical example and two engineering examples are utilized to evaluate the feasibility and effectiveness of the proposed method.

[1]  T Haftka Raphael,et al.  Multidisciplinary aerospace design optimization: survey of recent developments , 1996 .

[2]  Liang Gao,et al.  An efficient method for reliability analysis under epistemic uncertainty based on evidence theory and support vector regression , 2015 .

[3]  Tim Cockerill,et al.  Site-specific design optimization of wind turbines , 1998 .

[4]  G. Gary Wang,et al.  An Efficient Pareto Set Identification Approach for Multiobjective Optimization on Black-Box Functions , 2005 .

[5]  John E. Renaud,et al.  Design flow management and multidisciplinary design optimization in application to aircraft concept sizing , 1996 .

[6]  Xiaoqian Chen,et al.  A reliability-based multidisciplinary design optimization procedure based on combined probability and evidence theory , 2013 .

[7]  Michael G. Parsons,et al.  Formulation of Multicriterion Design Optimization Problems for Solution With Scalar Numerical Optimization Methods , 2004 .

[8]  Jianhua Zhou,et al.  A New Sequential Multi-Disciplinary Optimization Method for Bi-Level Decomposed Systems , 2015, DAC 2015.

[9]  Mao Li,et al.  Surrogate based multidisciplinary design optimization of lithium-ion battery thermal management system in electric vehicles , 2017 .

[10]  Xinyu Geng,et al.  An efficient single-loop strategy for reliability-based multidisciplinary design optimization under non-probabilistic set theory , 2018 .

[11]  Jianhua Zhou,et al.  A Sequential Robust Optimization Approach for Multidisciplinary Design Optimization With Uncertainty , 2016 .

[12]  Daniele Peri,et al.  Multidisciplinary design optimization of a naval surface combatant , 2003 .

[13]  Wei Chen,et al.  Probabilistic Analytical Target Cascading: A Moment Matching Formulation for Multilevel Optimization Under Uncertainty , 2006 .

[14]  Ilan Kroo,et al.  Framework for Aircraft Conceptual Design and Environmental Performance Studies , 2005 .

[15]  Liqun Wang,et al.  A Random-Discretization Based Monte Carlo Sampling Method and its Applications , 2002 .

[16]  Lei Wang,et al.  Interval prediction of responses for uncertain multidisciplinary system , 2017 .

[17]  John E. Renaud,et al.  Implicit Uncertainty Propagation for Robust Collaborative Optimization , 2006 .

[18]  Sankaran Mahadevan,et al.  Robustness-Based Design Optimization of Multidisciplinary System Under Epistemic Uncertainty , 2013 .

[19]  Greg F. Naterer,et al.  Extended Collaboration Pursuing Method for Solving Larger Multidisciplinary Design Optimization Problems , 2007 .

[20]  Greg F. Naterer,et al.  Collaboration pursuing method for multidisciplinary design optimization problems , 2007 .

[21]  Shapour Azarm,et al.  New Approximation Assisted Multi-objective collaborative Robust Optimization (new AA-McRO) under interval uncertainty , 2013 .

[22]  Timothy W. Simpson,et al.  Multidisciplinary Robust Design Optimization of an Internal Combustion Engine , 2003 .

[23]  G. G. Wang,et al.  Mode-pursuing sampling method for global optimization on expensive black-box functions , 2004 .

[24]  Ming Jian Zuo,et al.  A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis , 2018, Reliab. Eng. Syst. Saf..

[25]  Shapour Azarm,et al.  Multiobjective Collaborative Robust Optimization With Interval Uncertainty and Interdisciplinary Uncertainty Propagation , 2008 .

[26]  Wei Sun,et al.  Multidisciplinary design optimization of tunnel boring machine considering both structure and control parameters under complex geological conditions , 2016 .

[27]  Loïc Brevault,et al.  Decoupled Multidisciplinary Design Optimization Formulation for Interdisciplinary Coupling Satisfaction Under Uncertainty , 2016 .

[28]  Joaquim R. R. A. Martins,et al.  Multidisciplinary Design Optimization for Complex Engineered Systems: Report From a National Science Foundation Workshop , 2011 .

[29]  Richard S. Sellar Multidisciplinary design using artificial neural networks for discipline coordination and system optimization , 1997 .

[30]  Wei Chen,et al.  Collaborative Reliability Analysis under the Framework of Multidisciplinary Systems Design , 2005 .