Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations | Zendy

HansJürgen von Martens | Zendy

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Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations

Author(s) -

HansJürgen von Martens

Publication year - 1997

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/1997/183527

Subject(s) - interferometry , acceleration , circular motion , displacement (psychology) , rotation (mathematics) , michelson interferometer , observational error , optics , physics , vibration , angular acceleration , interference (communication) , angular velocity , measurement uncertainty , grating , linear motion , rotation around a fixed axis , filter (signal processing) , motion (physics) , mathematics , acoustics , classical mechanics , computer science , geometry , statistics , psychology , computer network , channel (broadcasting) , quantum mechanics , computer vision , psychotherapist

A uniform description is given of a method of measurement using a Michelson interferometer for measuring the linear motion quantities acceleration, velocity and displacement, and a diffraction grating interferometer for measuring the circular motion quantities angular acceleration, angular velocity and rotation angle. The paper focusses on an analysis of the dynamic behaviour of an interferometric measurement system based on the counting technique with regard to the measurement errors due to deterministic and stochastic disturbing quantities. The error analysis and description presented are aimed at giving some rules, mathematical expressions and graphical presentations that have proved to be helpful in recognizing the errors in interferometric measurements of motion quantities, optimizing the measurement conditions (e.g., filter settings), obtaining corrections and estimating the uncertainty of measurement.

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