Figure 3-1. Analysis response surface and design response surface approach: decouple
reliability analysis and design optimization
Statistical Design of Experiments for Stochastic and Analysis Response Surfaces
Statistical design of experiments selects design points for response surface
approximation in such a manner that the required accuracy is achieved with a minimum
number of design points. However, the exact functional form of the structural response to
be approximated is rarely known, the errors in SRS and ARS usually include both
variance and bias errors. Structural responses are usually computationally expensive to
evaluate. Therefore, the selection of the DOE for ARS are primarily based on the
following two considerations
* The number of design points in the DOE is flexible, since we want to reduce the
number of analyses.
* The points in the design space have good space-filling distribution. The DOE is
often used to provide a sampling of the problem space. Higher than quadratic
polynomials may also be needed in order to provide good approximation of the
response. Both desire space-filling DOE.