Integrated parameter and tolerance optimization of a centrifugal compressor based on a complex simulator

Abstract We apply integrated parameter and tolerance design (IPTD) to optimize the nominal values and tolerances of 10 geometric design variables of a centrifugal compressor based on a computational fluid dynamics simulator. The compressor quality is quantified by the conformance probabilities of three performance measures (PMs) and optimizing the simulator directly is time-consuming. Gaussian process (GP) emulators are constructed to predict the PMs. A conservative conformance probability estimator penalized by its standard deviation and an efficient method to compute it are developed to facilitate optimization. Eight tolerances are loosened and two are tightened. Design variable effects on quality are better understood.

[1]  N. Cumpsty,et al.  Tip Leakage Flow in Axial Compressors , 1991 .

[2]  Daniel W. Apley,et al.  Understanding the Effects of Model Uncertainty in Robust Design With Computer Experiments , 2006 .

[3]  William Li,et al.  AN INTEGRATED METHOD OF PARAMETER DESIGN AND TOLERANCE DESIGN , 1999 .

[4]  A. Sudjianto,et al.  An Efficient Algorithm for Constructing Optimal Design of Computer Experiments , 2005, DAC 2003.

[5]  C. F. Jeff Wu,et al.  Robust Design Optimization With Quadratic Loss Derived From Gaussian Process Models , 2012, Technometrics.

[6]  Jan Tommy Gravdahl,et al.  Compressor Surge and Rotating Stall , 1999 .

[7]  Mei Han,et al.  Integrated parameter and tolerance design with computer experiments , 2016 .

[8]  T. J. Mitchell,et al.  Exploratory designs for computational experiments , 1995 .

[9]  D. Montgomery,et al.  Foldovers of 2k-p Resolution IV Experimental Designs , 1996 .

[10]  Spencer Graves,et al.  Tolerancing Mechanical Assemblies with CAD and DOE , 2000 .

[11]  Jerome Sacks,et al.  Choosing the Sample Size of a Computer Experiment: A Practical Guide , 2009, Technometrics.

[12]  David H. Evans,et al.  Statistical Tolerancing: The State of the Art, Part I. Background , 1974 .

[13]  V. Roshan Joseph,et al.  Integrating Analytical Models with Finite-Element Models: An Application in Micromachining , 2013 .

[14]  Mei Han,et al.  Optimal robust and tolerance design for computer experiments with mixture proportion inputs , 2017, Qual. Reliab. Eng. Int..