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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Modelling accelerometers for transient signals using calibration measurements upon sinusoidal excitation
Author(s): A. Link, A. Täubner, W. Wabinski, T. Bruns and C. Elster
Journal: Measurement
Year: 2007
Volume: 40
Issue: 9-10
Pages: 928-935
DOI: 10.1016/j.measurement.2006.10.011
Keywords: IIR filter,Modelling,Shock excitation,Sinusoidal excitation,Uncertainty, dynamic measurement
Tags: 8.42,Dynamik
Abstract: A recently proposed accelerometer model is applied for determining the accelerometer's output to transient accelerations. The model consists of a linear, second-order differential equation with unknown coefficients. It is proposed to estimate these model parameters from sinusoidal calibration measurements, and an estimation procedure based on linear least-squares is presented. In addition, the uncertainties associated with the estimated parameters are determined utilizing a Monte Carlo simulation technique. The performance of the proposed modelling approach was tested by its application to calibration measurements of two back-to-back accelerometers (ENDEVCO type 2270 and Brüel & Kjær type 8305). For each of the two accelerometers, the model was first estimated from sinusoidal calibration measurements and then used to predict the accelerometer's behaviour for two shock calibration measurements. Measured and predicted shock sensitivities were found consistent with differences below 1% in most cases which confirms the benefit of the proposed modelling approach.

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