Modelling accelerometers for transient signals using calibration measurements upon sinusoidal excitation

Problems in Modelling Charge Output Accelerometers

“…Let us also introduce the numerator N and the de-numerator D of the relation (1) by means of their real and imaginary representation in accordance with the measured frequencies n ω [14][15]. Then, we have:…”

“…According to the standard [12], it is recommended to apply the MC method to determine this matrix in two stages [15].…”

“…The first one results from the measurement data, while the second one refers to an assumed parametric model of the accelerometer [13−14]. A straightforward and computationally efficient linear WLS method based on the inverse complex frequency responses is discussed in detail in [15]. This method was applied for modelling Endevco 2270 and Brüel&Kjaer 8305 charge output accelerometers and − as a result − the values of parameters and associated uncertainties of the sensors were obtained.…”

Traceable dynamic measurement of mechanical quantities: objectives and first results of this european project

“…The methods being developed rely on important prior work by members of the WP5 team, specifically: -prior work on analysis of dynamic measurements by PTB [16][17][18][19] and in particular their work on the implementation of uncertainty evaluation methods based on the Guide to the expression of uncertainty in measurement; -prior work on dynamic calibration of accelerometers and force transducers by PTB, including analysis of sinusoidal and shock excitation measurements and analysis of comparison measurements between different laboratories [20][21][22][23][24][25]; -joint work by mathematicians at PTB and NPL to study dynamic pressure measurements carried out by NPL experimentalists using a shock tube that is located at the UK's Cranfield University [26]; -joint work by PTB, NPL and the SP Technical Research Institute of Sweden on deconvolution methods for the analysis of dynamic measurements [27]; -joint work by PTB and NPL on the implementation of a GUM Monte Carlo method for dynamic measurements [28].…”

Evaluation of measurement uncertainty for time-dependent quantities

“…The recently published Supplement 2 to the GUM extends this framework to multivariate quantities [2]. However, the GUM does not address the measurement of quantities whose values depend on a continuous quantity like time, space or wavelength [3][4][5]. We here mainly focus on timedependent "dynamic" measurands, although the proposed methodology is largely the same when the measurand depends on another continuous quantity such as space or wavelength.…”