DIN ISO 16063-43-2016 Methods for the calibration of vibration and shock transducers - Part 43 Calibration of accelerometers by model-based parameter identification (ISO 16063-43 2.pdf

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1、November 2016 English price group 14No part of this translation may be reproduced without prior permission ofDIN Deutsches Institut fr Normung e. V., Berlin. Beuth Verlag GmbH, 10772 Berlin, Germany,has the exclusive right of sale for German Standards (DIN-Normen).ICS 17.160!%q7“2587820www.din.deDIN

2、 ISO 16063-43Methods for the calibration of vibration and shock transducers Part 43: Calibration of accelerometers by modelbased parameter identification (ISO 1606343:2015),English translation of DIN ISO 16063-43:2016-11Verfahren zur Kalibrierung von Schwingungs und Stoaufnehmern Teil 43: Kalibrieru

3、ng von Beschleunigungsaufnehmern durch modellgesttzte Parameteridentifikation (ISO 1606343:2015),Englische bersetzung von DIN ISO 16063-43:2016-11Mthodes pour ltalonnage des transducteurs de vibrations et de chocs Partie 43: talonnage des acclromtres par identification des paramtres base de modle (I

4、SO 1606343:2015),Traduction anglaise de DIN ISO 16063-43:2016-11www.beuth.deDocument comprises 27 pagesDTranslation by DIN-Sprachendienst.In case of doubt, the German-language original shall be considered authoritative.11.16 A comma is used as the decimal marker. Contents National foreword 3Introduc

5、tion 61 Scope . 82 Normative references 83 Terms and definitions . 94 List of symbols 95 Consideration of typical frequency response and transient excitation .116 General approach .137 Linear mass-spring-damper model .137.1 Model 137.2 Identification by sinusoidal calibration data .147.2.1 Parameter

6、 identification 147.2.2 Uncertainties of model parameters by analytic propagation .187.3 Identification by shock calibration data in the frequency domain .187.3.1 Identification of the model parameters 187.3.2 Uncertainties of model parameters by analytical propagation 238 Practical considerations 2

7、38.1 The influence of the measurement chain 238.2 Synchronicity of the measurement channels . 248.3 Properties of the source data used for the identification248.4 Empirical test of model and parameter validity248.4.1 Sinusoidal calibration data 248.4.2 Shock calibration data 248.5 Statistical test o

8、f model validity 258.5.1 General. 258.5.2 Statistical test for sinusoidal data 258.5.3 Statistical test for shock data and the frequency domain evaluation259 Reporting of results 269.1 Common considerations on the reporting . 269.2 Results and conditions to be reported. 26Bibliography .27PageDIN ISO

9、 16063-43:2016-11 2National Annex NA (informative) Bibliography 5National foreword This German Standard is based upon International Standard ISO 16063-43:2015 (corrected version 2016-07-15). This version was published by ISO after it was established that the 2015 version contained mistakes. The text

10、 of ISO 16063-43:2015 has been prepared by Technical Committee ISO/TC 108 “Mechanical vibration, shock and condition monitoring, Subcommittee SC 3 “Use and calibration of vibration and shock measuring instruments” (Secretariat: DS, Denmark). The responsible German body involved in its preparation wa

11、s Normenausschuss Akustik, Lrmminderung und Schwingungstechnik im DIN und VDI (Acoustics, Noise Control and Vibration Engineering Standards Committee in DIN and VDI), Working Committee NA 001-03-02 AA (NALS/VDI C 2) Schwingungsmesstechnik. Attention is drawn to the possibility that some of the eleme

12、nts of this document may be the subject of patent rights. DIN shall not be held responsible for identifying any or all such patent rights. The DIN Standards corresponding to the International Standards referred to in this document are as follows: ISO 16063-21 DIN ISO 16063-21 ISO 16063-22 DIN ISO 16

13、063-22 ISO/IEC Guide 98-3 DIN V ENV 13005 ISO/IEC Guide 98-3 DIN V ENV 13005 Supplement 1 Supplement 1 ISO 16063 Methods for the calibration of vibration and shock transducers consists of the following parts: Part 1: Basic concepts Part 11: Primary vibration calibration by laser interferometry Part

14、12: Primary vibration calibration by the reciprocity method Part 13: Primary shock calibration using laser interferometry Part 15: Primary angular vibration calibration by laser interferometry Part 16: Calibration by Earths gravitation Part 17: Primary calibration by centrifuge Part 21: Vibration ca

15、libration by comparison to a reference transducer Part 22: Shock calibration by comparison to a reference transducer Part 31: Testing of transverse vibration sensitivity Part 41: Calibration of laser vibrometers Part 42: Calibration of seismometers with high accuracy using acceleration of gravity Pa

16、rt 43: Calibration of accelerometers by model-based parameter identification DIN ISO 16063-43:2016-11 3 The following parts are under preparation: Part 32: Resonance testing Testing the frequency and the phase response of accelerometers by means of shock excitation Part 33: Testing of magnetic field

17、 sensitivity Part 44: Calibration of field vibration calibrators Part 45: In-situ calibration of transducers with built in calibration coil DIN ISO 16063-43:2016-11 4 National Annex NA (informative) Bibliography DIN V ENV 13005, Guide to the expression of uncertainty in measurement*)DIN V ENV 13005

18、Supplement 1, Guide to the expression of uncertainty in measurement Supplement 1: Propagation of distributions using a Monte Carlo method *)DIN ISO 16063-21, Methods for the calibration of vibration and shock transducers Part 21: Vibration calibration by comparison to a reference transducer DIN ISO

19、16063-22, Methods for the calibration of vibration and shock transducers Part 22: Shock calibration by comparison to a reference transducer *) Withdrawn but these German versions are still obtainable from Beuth-Verlag GmbH.DIN ISO 16063-43:2016-11 5 IntroductionThe ISO 16063 series describes in seve

20、ral of its parts (ISO 16063-1, ISO 16063-11, ISO 16063-13, ISO 16063-21 and ISO 16063-22) the devices and procedures to be used for calibration of vibration transducers. The approaches taken can be divided in two classes: one for the use of stationary signals, namely sinusoidal or multi-sinus excita

21、tion; and the other for transient signals, namely shock excitation. While the first provides the lowest uncertainties due to intrinsic and periodic repeatability, the second aims at the high intensity range where periodic excitation is usually not feasible due to power constraints of the calibration

22、 systems.The results of the first class are given in terms of a complex transfer sensitivity in the frequency domain and are, therefore, not directly applicable to transient time domain application.The results of the second class are given as a single value, the peak ratio, in the time domain that n

23、eglects (knowingly) the frequency-dependent dynamic response of the transducer to transient input signals with spectral components in the resonance area of the transducers response. As a consequence of this “peak ratio characterization”, the calibration result might exhibit a strong dependence on th

24、e shape of the transient input signal applied for the calibration and, therefore, from the calibration device.This has two serious consequences:a) The calibration with shock excitation in accordance with ISO 16063-13 or ISO 16063-22 is of limited use as far as the dissemination of units is concerned

25、. That is, the shock sensitivities Sshdetermined by calibrations on a device in a primary laboratory might not be applicable to the customers device in the secondary calibration lab, simply due to a different signal shape and thus spectral constitution of the secondary devices shock excitation signa

26、l.b) A comparison of calibration results from different calibration facilities with respect to consistency of the estimated measurement uncertainties, e.g. for validation purposes in an accreditation process, is not feasible if the facilities apply input signals of differing spectral composition.The

27、 approach taken in this document is a mathematical model description of the accelerometer as a dynamic system with mechanical input and electrical output, where the latter is assumed to be proportional to an intrinsic mechanical quantity (e.g. deformation). The estimates of the parameters of that mo

28、del and the associated uncertainties are then determined on the basis of calibration data achieved with established methods (ISO 16063-11, ISO 16063-13, ISO 16063-21 and ISO 16063-22). The complete model with quantified parameters and their respective uncertainties can subsequently be used to either

29、 calculate the time domain response of the transducer to arbitrary transient signals (including time-dependent uncertainties) or as a starting point for a process to estimate the unknown transient input of the transducer from its measured time-dependent output signal (ISO 16063-11 or ISO 16063-13).A

30、s a side effect, the method also usually provides an estimate of a continued frequency domain transfer sensitivity of the model.Methods for the calibration of vibration and shock transducers Part 43: Calibration of accelerometers by model-based parameter identificationDIN ISO 16063-43:2016-11 6 In s

31、hort, this document prescribes methods and procedures that enable the user to calibrate vibration transducers for precise measurements of transient input, perform comparison measurements for validation using transient excitation, predict transient input signals and the time-dependent measurement unc

32、ertainty, and compensate the effects of the frequency-dependent response of vibration transducers (in real time) and thus expand the applicable bandwidth of the transducer.DIN ISO 16063-43:2016-11 7 1 ScopeThis document prescribes terms and methods on the estimation of parameters used in mathematica

33、l models describing the input/output characteristics of vibration transducers, together with the respective parameter uncertainties. The described methods estimate the parameters on the basis of calibration data collected with standard calibration procedures in accordance with ISO 16063-11, ISO 1606

34、3-13, ISO 16063-21 and ISO 16063-22. The specification is provided as an extension of the existing procedures and definitions in those International Standards. The uncertainty estimation described conforms to the methods established by ISO/IEC Guide 98-3 and ISO/IEC Guide 98-3/Supplement 1. The new

35、characterization described in this document is intended to improve the quality of calibrations and measurement applications with broadband/transient input, like shock. It provides the means of a characterization of the vibration transducers response to a transient input and, therefore, provides a ba

36、sis for the accurate measurement of transient vibrational signals with the prediction of an input from an acquired output signal. The calibration data for accelerometers used in the aforementioned field of applications should additionally be evaluated and documented in accordance with the methods de

37、scribed below, in order to provide measurement capabilities and uncertainties beyond the limits drawn by the single value characterization given by ISO 16063-13 and ISO 16063-22.2 Normative referencesThe following documents are referred to in the text in such a way that some or all of their content

38、constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.ISO 16063-11, Methods for the calibration of vibration and shock transducers Part 11: Primary vibr

39、ation calibration by laser interferometryISO 16063-13, Methods for the calibration of vibration and shock transducers Part 13: Primary shock calibration using laser interferometryISO 16063-21, Methods for the calibration of vibration and shock transducers Part 21: Vibration calibration by comparison

40、 to a reference transducerISO 16063-22, Methods for the calibration of vibration and shock transducers Part 22: Shock calibration by comparison to a reference transducerISO/IEC Guide 98-3, Uncertainty of measurement Part 3: Guide to the expression of uncertainty in measurement (GUM:1995)ISO/IEC Guid

41、e 98-3/Supplement 1, Uncertainty of measurement Part 3: Guide to the expression of uncertainty in measurement (GUM:1995) Supplement 1: Propagation of distributions using a Monte Carlo methodDIN ISO 16063-43:2016-11 8 3 Terms and definitionsFor the purposes of this document, the terms and definitions

42、 given in ISO 2041 apply.ISO and IEC maintain terminological databases for use in standardization at the following addresses: IEC Electropedia: available at http:/www.electropedia.org/ ISO Online browsing platform: available at http:/www.iso.org/obp4 List of symbolsThe symbols used in the formulae a

43、re listed in order of occurrence in the text.x, x, xOutput quantity of the respective transducer and its single and double derivative over time Damping coefficient of the model equation in the time domain0Circular resonance frequency of the model Electromechanical conversion factoriImaginary unit, i

44、 = 1H Complex valued transfer functionS Magnitude of the transfer function Phase of the transfer functionG Reciprocal of the complex valued transfer function Parameter vectorSmMagnitude of the transfer function for a circular frequency, mmPhase of the transfer function for a circular frequency, mR R

45、eal part of the complex valued transfer functionJ Imaginary part of the complex valued transfer functiony Vector of real and imaginary parts of the measured transfer functionVyCovariance matrix of yD Coefficients matrixpi Vector of parameter estimatesVpiCovariance matrix of piS0Magnitude of the tran

46、sfer function at low frequenciesATransformation matrix for analytical uncertainty propagationV ,0Covariance matrix of the model parameterss Frequency analogue in the s-domain (s-transform)DIN ISO 16063-43:2016-11 9 A Acceleration in the s-domainX Output quantity of the respective transducer in the s

47、-domainz1Back shift operator used in the bilinear transform (z-transform)T Sampling intervalakMeasured input acceleration sample at the time step kxkMeasured accelerometer output sample at the time step kb, c1, c2, Model parameters in the case of discretized time domain datav Substitutional parameters for the time domain parameter estimationEstimates of v by weighted least squares fittingVvCovariance matrix of the estimated paramete