Title: Stochastic design using cross-validated nonparametric meta-modelling techniques

Authors: Jian Tu, Yi-Pen Cheng

Addresses: General Motors Corporation, 30500 Mound Road, MC 480 106 256, Warren MI 48090, USA. ' General Motors Corporation, 30200 Mound Road, MC 480 111 P62, MI 48090, Warren, USA

Abstract: This study adopts the quantile performance measures that address stochastic uncertainties in CAE modelling and simulations to support design decision-making. Two nonparametric meta-modelling techniques are introduced in conjunction with a uniform sampling scheme to approximate nonlinear CAE model input/output relationships. An integrated stochastic design framework that facilitates practical applications of time-consuming CAE simulations is described. A vehicle restraint system example is used to demonstrate the effectiveness of the proposed framework and the enabling techniques.

Keywords: robust design; probabilistic design; nonparametric regression; cross validation; quantile performance measures; vehicle safety; stochastic design; nonparametric metamodelling; uncertainty; simulation; design decision making; vehicle restraint system; model validation.

DOI: 10.1504/IJMPT.2006.008281

International Journal of Materials and Product Technology, 2006 Vol.25 No.1/2/3, pp.182 - 197

Published online: 28 Nov 2005 *

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