Krzysztof Tomczyk
Technical Transactions, Volume 12 Year 2017 (114), 2017, pp. 157-169
https://doi.org/10.4467/2353737XCT.17.216.7759The paper discusses the method for modelling linear analogue systems of the second order in the time domain. As a result of such modelling, the parameters of the model and the associated uncertainties are obtained. Procedures for determining the absolute error and the integral-square error are presented. These procedures make it possible to determine precisely such an input sig-nal with one constraint that maximizes an error at the output of the system. Values of the parameters of an example model are determined and the propagation of the uncertainties of modelling results is assessed by the procedures for determining the maximum dynamic errors. The results of calculations presented in the paper were carried out in MathCad15.
Krzysztof Tomczyk
Technical Transactions, Electronical Engineering Issue 2-E (13) 2015, 2015, pp. 235-246
https://doi.org/10.4467/2353737XCT.15.099.3931The paper discusses the parametric identification of a system model for the charge output accelerometer based on the simultaneous approximation of amplitude and phase characteristics. The mathematical relationships refer to three models: the mechanical, electrical and complete models, are discussed in detail. The numerical calculations include the parametric identification of the system model for the PCB357B73 accelerometer and determination of the uncertainties associated with the parameters of this model.
Krzysztof Tomczyk
Technical Transactions, Volume 6 Year 2018 (115), 2018, pp. 133-143
https://doi.org/10.4467/2353737XCT.18.093.8698The functional relationship between the absolute error and the parameter values of a voltage output accelerometer is presented in this paper. The theoretical basis for the mathematical model of the accelerometer and its standard, which is a reference for the error determination, is discussed. The polynomial function is applied for error approximation. Optimal orders of the polynomial along with their parameters and associated uncertainties are determined. The results presented in this paper concern the maximum errors obtained by exciting the accelerometer by the signal of constrained magnitude.