Fig. 1 Distinctions of possible sensor errors. The focus of this paper, i.e., systematic sensor errors according to Ref. [ 22 ], is highlighted in gray. More about this image found in Distinctions of possible sensor errors. The focus of this paper, i.e., syst...

Fig. 2 Sensor model illustrating the four types of systematic errors considered More about this image found in Sensor model illustrating the four types of systematic errors considered

Fig. 3 Frequency distributions from the Monte Carlo simulation of the error model, based on the initial parameters in Table 4 More about this image found in Frequency distributions from the Monte Carlo simulation of the error model,...

Fig. 4 Frequency distributions from the Monte Carlo simulation of the error model, based on the correlation between amplitude and wavelength a i = 1 / w i More about this image found in Frequency distributions from the Monte Carlo simulation of the error model,...

Fig. 5 Dependence of the error distribution on the distribution of the wavelength w i and the number of spectral components M More about this image found in Dependence of the error distribution on the distribution of the wavelength ...

Fig. 6 Frequency distribution from the Monte Carlo simulation of the combined linearity and hysteresis error model More about this image found in Frequency distribution from the Monte Carlo simulation of the combined line...

Fig. 7 Flow chart of the Monte Carlo simulations carried out More about this image found in Flow chart of the Monte Carlo simulations carried out

Fig. 8 Convergence of the magnitude of the Fourier coefficient σ ( | Y ( Ω ) | ) over the number of Monte Carlo iterations N More about this image found in Convergence of the magnitude of the Fourier coefficient σ ( | Y ( ...

Fig. 9 Influence of the amplitude a ̂ of the test signal on the standard deviation of magnitude and phase of the Fourier coefficient Y ( Ω ) More about this image found in Influence of the amplitude a ̂ of the test signal on the stand...

Fig. 10 Results of the Monte Carlo simulation with the final determined parameters; 0.5% of the simulations carried out are shown in the complex number plane More about this image found in Results of the Monte Carlo simulation with the final determined parameters;...

Fig. 11 Influence of the uncertainty intervals of the linearity and hysteresis errors on the standard deviation of magnitude and phase of the Fourier coefficient Y ( Ω ) More about this image found in Influence of the uncertainty intervals of the linearity and hysteresis erro...

Fig. 12 The annular gap test rig at the Chair of Fluid Systems at Technische Universität Darmstadt, cf. Kuhr [ 14 ] More about this image found in The annular gap test rig at the Chair of Fluid Systems at Technische Univer...

Fig. 13 Influence of the improved uncertainty quantification for the identification of the dynamic characteristics, i.e., selected stiffness, damping, and inertia coefficients, of an annular gap. Left: Mean values of the identified parameters by Kuhr [ 14 ]; right: uncertainty interval given by Ku... More about this image found in Influence of the improved uncertainty quantification for the identification...

Fig. 14 Influence of the length L of the test signal on the standard deviation of the magnitude and phase of the Fourier coefficient Y ( Ω ) More about this image found in Influence of the length L of the test signal on the standard deviation of...

Fig. 15 Influence of the offset o of the test signal on the standard deviation of magnitude and phase of the Fourier coefficient Y ( Ω ) More about this image found in Influence of the offset o of the test signal on the standard deviation of...

Fig. 16 Influence of the phase Φ of the test signal on the standard deviation of magnitude and phase of the Fourier coefficient Y ( Ω ) More about this image found in Influence of the phase Φ of the test signal on the standard deviation...

Fig. 17 Influence of the excitation frequency Ω of the test signal on the standard deviation of magnitude and phase of the Fourier coefficient Y ( Ω ) More about this image found in Influence of the excitation frequency Ω of the test signal on the sta...