GAUSSIAN SPECTRUM GENERATOR

Generates a set of Prony Gi/βi terms by sampling a Gaussian relaxation spectrum defined by 5 parameters (amplitude, mean in ln(β), width/σ, point spacing, skew). Used standalone or as the term generator inside the Prony Series Generator’s Gaussian fitting mode.

When to use

Tagged: prony_series, viscoelastic, relaxation, gaussian, spectrum, material_calibration.

Inputs

Label ID Type Default Required Description
Number of terms num_terms scalar 5   How many Gi/βi points to read off the Gaussian curve.
Amplitude amplitude scalar 0.01   Peak shear modulus (vertical scale of the Gaussian).
Mean (ln β) mean scalar 0.0   Center of the spectrum in ln(β).
Width (σ) width scalar 1.0   Standard deviation of the Gaussian in ln(β).
Point spacing dist scalar 0.5   ln(β) spacing between adjacent Prony points.
Skew skew scalar 0.0   Asymmetric left/right stretch of point positions (−1..1).

Outputs

Label ID Type Description
Prony Terms prony_terms keyvalue g0,beta0,…,gN,betaN derived from the Gaussian curve.
Spectrum Curve spectrum_curve vector The (β, G) points read off the Gaussian spectrum.

Disciplines

  • engineering.material.calibration
  • engineering.material.characterization

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