Uncertainty Evaluation for Traceable Dynamic Measurement of Mechanical Quantities: A Case Study in Dynamic Pressure Calibration

Analysis for dynamic metrology

“…In ( 6) either side of the double arrow may be taken as the definition of the transformation upon which the other side follows from rescaling of the Fourier integral. Informally speaking, the shapes of h(t ) and H( f ) are not changed by this action 5 . One confirms that the waveform parameters rescale as…”

“…The validity of (9) for Gaussian waveforms is well-known. However, much more is true as it can be shown that the 5 We offer that the shape space of a class of functions be defined as that class modulo positive-real rescalings of the independent and dependent variables, thereby making our informal discussion precise by tautology. We are not concerned with such formalism here.…”

“…Under normal operation, pressure can vary significantly over timescales on the order of tens of microseconds yet, until recently, SI traceable calibration of pressure sensors has been performed assuming static loads. In response, several European metrology institutes have embarked upon an extensive and coordinated re-evaluation of their measurement services for time-varying pressure, force, and torque [4][5][6].…”

“…It happens that closed form expressions are rarely available for τ F and τ R even if the waveform is given analytically. Case in point: the synthetic waveforms used below can be represented as a sum of damped exponentials, see(5). For one-term expansions the parameter definitions may be inverted in closed form.…”

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].…”