Analysis of spatial and temporal data

Manufacturing tolerances, material scatter, randomly distributed loads or other stochastic effects cause scattering properties of components or structures with mostly spatial distribution. Signal data such as load curves or data from measurement protocols (e.g. load strain curves, frequency responses) are also often subject to scattering or uncertainty. To ensure your product quality, avoid product recalls or meet safety requirements, you can take these variations into account in the design process by applying suitable statistical models and methods.

SoS® supports you in variation analyses by extending the capabilities of optiSLang to the analysis of field data, e.g. to spatial data on FEM meshes (3D), on characteristic maps (2D) or signals (1D). This includes the visualization of various statistical properties in 3D, the analysis and generation of random fields, the simulation of random imperfections and much more. You can detect locations with a high probability of failure or variation ("hot spots") and determine the causes for the scattering.

Statistics on Structures® i.a. supports you in:

  • Real-time approximation of FEM models (3D fields) for embedded digital twins
  • Freeform geometry variations with optiSLang
  • Automatic and optimal parameterization of spatial variations (e.g. geometry) based on simulation results or measurements
  • Mesh morphing (e.g. to create new imperfect geometries)
  • Analysis of statistical properties of components by displaying the statistics directly on the 3D structure
  • Detection of hot spots (potential failure regions, suitable sensor positions, etc.)
  • Evaluation of suitable quality measures in production chains (e.g. which quantity is to be measured after a production step?)


  • Statistical Hot Spot detection and visualization >>>
  • Data based ROM: Sensitivity analysis and approximation with FMOP >>>
  • Random fields based on measurements >>>
  • Random fields based on autocorrelation models >>>

General features

  • ANSYS Mechanical Plugin for geometry imperfections and export of solution results
  • GUI for import, analysis, export and visualization of data
  • Standalone SoS Viewer for visualization of results in 3D
  • Interactive visualization with sliders for random fields and meta models
  • Display of changes in geometry and their effect on component behavior as a color plot (e.g. stresses)
  • Embedded scripting (script language Lua)
  • Binary interfaces for meta models (DLL)

Interfaces to CAE software

SoS is largely independent of the applied CAE software. Using text interfaces, data and FEM meshes, partly also named selections, can be i.a. imported from and partly exported to

  • ANSYS Mechanical
  • Pamstamp
  • FMU 2.0

Measurement data and maps can be processed by CSV files, measured geometries using STL files, photographic measurements using image files (PNG, Jpeg, etc.).

There are interfaces to optiSLang (SoS nodes) and a plugin for ANSYS Mechanical.

Current version 8.0.0 (2020 R2)

  • Export random fields and field meta models as scriptable FMU 2.0 (Beta option)
  • Chunk manager for creating and deployment of user macros allowing custom analysis and data processing
  • ANSYS optiSLang integration node for running FMUs created by SoS (Beta option)
  • ANSYS optiSLang integration node for converting field data into scalar parameters in variation analysis
  • Robust PCA algorithm for statistical pre-filtering of outliers in measurements
  • Validate error norms of random field models
  • Export data directly to optiSLang post processing for deep analysis of Field-MOP quality (expert mode)

SoS Plugin for ANSYS WB

Software on Demand and Licenses for academic institutes

SoS is also available as Software on Demand in Germany, Austria and Switzerland. This service enables demand-oriented and billing-specific use with the latest software version. For further information please contact our support.

Use SoS in your research and teaching. We offer special conditions for universities and research institutions!


SoS is sold worldwide. A list of our distributors can be found here.

Information material

Your contact person

Dr. Sebastian Wolff

Fon: +43 (0) 1997 1207-10
Fax: +43 (0) 1997 1207-20