DOI: 10.35097/r7uckpr276vanaua
title: Model parameters and error metrics for modeling the rotatory mechanical impedance around the xh- and zh-axis

description: Various multi-mass oscillator models were parameterized as part of a publication on modeling the rotational mechanical impedance around the xh- and zh-axes of the human coordinate system according to ISO 5349-1:2001, The publication will appear shortly in the conference proceedings of the “5th VDI Symposium on Vibrations 2025: Solutions for Vibrations.” The underlying studies used for the parametrization are published as data sets under DOI 10.35097/1r2qfkquz7mzar0s and DOI 10.35097/vfrrc2hbxkujanz8. Based on this data sets, the three-, four-, and five-mass oscillators are parametrized for four different combinations of grip and push forces, as well as the mean rotational mechanical impedance of the study. The parametrization was achieved by using an optimization algorithm of the Matlab (2023b, The Math Works Inc., Natick, USA) internal functions GlobalSearch and fmincon. Furthermore, all multi-mass oscillators were parameterized without weighting and with a weighting function for emphasizing frequencies between 10 and 150Hz. The resulting parameters of each force combination and multi-mass oscillator are published here. The error metrics between the measured and modeled rotational mechanical impedance can also be found individually for each model.
description: The csv data contains different sheets. 
 Sheet "Overview":
- shows all multi-mass oscillators and their abbrevations
- the weighting function
- the objective function
- the combinations of grip and push forces
- the used formulas for calculating the error metrics
Sheet "Summary xh-axis":
- error metrics of the different multi-mass oscillators for evaluating between 10-500Hz and 10-125Hz, already summarized across the grip and push force levels 
- broken down into directly comparable error metrics for comparing the different models for modeling the measured rotational mechanical impedance around the xh-axis
Sheet "Summary zh-axis":
- error metrics of the different multi-mass oscillators for evaluating between 10-500Hz and 10-125Hz, already summarized across the grip and push force levels
- broken down into directly comparable error metrics for comparing the different models for modeling the measured rotational mechanical impedance around the zh-axis
Sheet "xh-axis Parameters, Errors"
- lists all model parameters for the different mutli-mass oscillators for each grip and push force combination, parametrized both weighted and unweighted, resulting in 40 rows
- the error metrics between the measured and modeled rotational mechanical impedance around the xh-axis for each parametrized model is specified, for both evaluation ranges (10-125Hz and 10-500Hz)
Sheet "zh-axis Parameters, Errors"
- lists all model parameters for the different mutli-mass oscillators for each grip and push force combination, parametrized both weighted and unweighted, resulting in 40 rows
- the error metrics between the measured and modeled rotational mechanical impedance around the zh-axis for each parametrized model is specified, for both evaluation ranges (10-125Hz and 10-500Hz)