Abstract
This article presents a methodology for the treatment of uncertainty in nonlinear, interference-fit, stress analysis problems arising from manufacturing tolerances. Image decomposition is applied to the uncertain stress field to produce a small number of shape descriptors that allow for variability in the location of high-stress points when geometric parameters (dimensions) are changed within tolerance ranges. A meta-model, in this case based on the polynomial chaos expansion, is trained using a full finite element model to provide a mapping from input geometric parameters to output shape descriptors. Global sensitivity analysis using Sobol’s indices provides a design tool that enables the influence of each input parameter on the observed variances of the outputs to be quantified. The methodology is illustrated by a simplified practical design problem in the manufacture of automotive wheels.
Original language | English |
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Pages (from-to) | 618-631 |
Number of pages | 14 |
Journal | Journal of Strain Analysis for Engineering Design |
Volume | 49 |
Issue number | 8 |
Early online date | 27 May 2014 |
DOIs | |
Publication status | Published - 1 Nov 2014 |
Keywords
- interference fit
- shape descriptor
- polynomial chaos expansion
- global sensitivity analysis
- dimensional tolerances