&lt;title&gt;Development of special diffraction grating interferometers to realize and disseminate the unit of angular acceleration&lt;/title&gt;

Taeubner, Angelika; Martens, Hans-Juergen von

doi:10.1117/12.248667

Cited by 5 publications

(2 citation statements)

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“…ED). In analogy to Eqs (7), (8), (9) and (10), the following formulae can be used for calculating the angular acceleration a,, -144MP tfl.f2 16t,,1 + 30t,, 16t,,_1 +tn_2 (23) (t,,+2 -8t,,1 + 8t,,.1 -and its peak value aPk=CO, (24) whereby C, C and C are valid for the polynomial of second order for the angular acceleration a. The quadrature signal version is also in analogy to that for translational measurements:…”

Section: Mmentioning

confidence: 95%

<title>Laser interferometry as tool and object in vibration and shock calibrations</title>

et al. 1998

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The paper describes how laser interferometry can be used to respond to the increasing demands from industry and elsewhere that the traceability of vibration and shock measurements to SI units be established or improved. As an example of the top level of a hierarchic traceability system, the paper focuses on six different national standard devices using laser interferometry to ensure the realization and dissemination of the three translational motion quantities: acceleration, velocity and displacement, and the three rotational motion quantities: angular acceleration, angular velocity and rotation angle, in wide measurement ranges with sinusoidal, shock-shaped and other user-defined time histories. The application of the methods to the primary calibration of transducers (including laser interferometers as calibration objects) is demonstrated. The high accuracy of the primary calibration facilities serves, among other things, to investigate the behaviour of special laser vibrometers intended to be qualified as reference laser vibrometers applicable as a sub-system of calibration equipment, e.g., in a service calibration laboratory.

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Section: Mmentioning

confidence: 95%

<title>Laser interferometry as tool and object in vibration and shock calibrations</title>

et al. 1998

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“…According to Equations (2) and (3), the KCRV is in most cases influenced by the calibration results with the lowest declared uncertainties. Therefore, the weighted mean method is appropriate only if the uncertainty statements of the laboratories with the lowest stated uncertainties are credible.…”

Section: Key Comparison Reference Values (Kcrv) Established In a Cipmmentioning

confidence: 99%

Metrology of vibration measurements by laser techniques

Martens

2008

Eighth International Conference on Vibration Measurements by Laser Techniques: Advances and Applications

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Metrology as the art of careful measurement has been understood as uniform methodology for measurements in natural sciences, covering methods for the consistent assessment of experimental data and a corpus of rules regulating application in technology and in trade and industry. The knowledge, methods and tools available for precision measurements can be exploited for measurements at any level of uncertainty in any field of science and technology. A metrological approach to the preparation, execution and evaluation (including expression of uncertainty) of measurements of translational and rotational motion quantities using laser interferometer methods and techniques will be presented. The realization and dissemination of the SI units of motion quantities (vibration and shock) have been based on laser interferometer methods specified in international documentary standards. New and upgraded ISO standards are reviewed with respect to their suitability for ensuring traceable vibration measurements and calibrations in an extended frequency range of 0.4 Hz to higher than 100 kHz. Using adequate vibration exciters to generate sufficient displacement or velocity amplitudes, the upper frequency limits of the laser interferometer methods specified in ISO 16063-11 for frequencies 10 kHz can be expanded to 100 kHz and beyond. A comparison of different methods simultaneously used for vibration measurements at 100 kHz will be demonstrated. A statistical analysis of numerous experimental results proves the highest accuracy achievable currently in vibration measurements by specific laser methods, techniques and procedures (i.e. measurement uncertainty 0.05 % at frequencies 10 kHz, 1 % up to 100 kHz).

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An Acousto-Optic Vibrometer for Measurement of Vibration in Ultra-Precision Machine Tools

Ngoi

Venkatakrishnan

2000

The International Journal of Advanced Manufacturing Technology

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<title>Development of special diffraction grating interferometers to realize and disseminate the unit of angular acceleration</title>

Cited by 5 publications

References 2 publications

<title>Laser interferometry as tool and object in vibration and shock calibrations</title>

<title>Laser interferometry as tool and object in vibration and shock calibrations</title>

Metrology of vibration measurements by laser techniques

An Acousto-Optic Vibrometer for Measurement of Vibration in Ultra-Precision Machine Tools

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