Creating Empirical Random Field Model

The Field data models menu option Random fields > Create empirical random field model creates a random field model based on previously imported samples. The random field model is stored internally. The current list of created random field models is shown in the Field data models window. For more information, see Field Data Models Window.

Before selecting this command, you must select the physical quantities in the quantity lists for which a random field model should be created. Only active samples are considered.

In the dialog box, you set these options:

Desired explained variation (%)

Accuracy of the random field model. For simulation of random designs, 90% might be sufficient. oSP3D automatically determines the number of scatter shapes required by the random field model to represent the desired variation.

Maximum number of shapes

Upper bound for the number of scatter shapes to be computed for the random field model. This option is used to limit hardware resource usage.

Find cross correlation

Clear this check box to create an individual random field model for each selected quantity. Select this check box to collect all selected quantities into a single random field model. In this case, the number of active designs must be equal for all selected quantities.

Field group ident

In case of a cross-correlated random field model, the new identifier.

Compute field amplitudes

Select this check box to compute samples for random field model amplitudes. You can export these amplitudes for further investigation in other software, such as optiSLang. The amplitudes of the same random field model are uncorrelated random variables with zero mean and unit standard deviation.

Compute cumulative variations

Select this check box to generate data objects that represent the cumulative explainable variation by the random field model, given a varying number of scatter shapes.

Compute individual variations

Select this check box to generate data objects that represent the individual explainable variation that is explained by each individual scatter shape.

Use interpolated missing items

Clear this check box to use the mean value for missing items or eroded elements. Select this check box to use the interpolated ("filled") value for missing items. Selecting this check box is recommended if the missing item originated from an incompatible mesh projection.

Include selected scalar quantities

Select this check box to also compute a random field model for selected scalar quantities. This might only make sense in case of cross-correlated fields.

Output Objects for Each Quantity

For each quantity, these output objects are generated:

  • Random field model

  • Individual scatter shapes as results in the data object table: shape[1]shape[n]. The data object table shows the cumulative explainable variation for the complete field (as average) for each shape.

  • Explainable variation of the random field model as a result in the data object table: variation. The data object table shows the explainable variation for the complete field (as average).

  • Samples of amplitudes, quantity identifiers: amp[quantity name][data type]_shape[shape index].

  • Cumulative variation: cumulative variation[1]cumulative variation[n]. The data object table shows the cumulative explainable variation for the complete field (as average) for each shape.

  • Individual variation: variation[1]variation[n]. The data object table shows the individual explainable variation for the complete field (as average) for each shape.

  • Log messages: oSP3D determines the fraction of explainable variation that is obtained for individual numbers of scatter shapes and prints this table in the log messages.