Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1997-45-604 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850167082236248064 |
|---|---|
| author | Hans-Jürgen von Martens |
| author_facet | Hans-Jürgen von Martens |
| author_sort | Hans-Jürgen von Martens |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dbdf0d3b80c44946bc133ce8d359cf9e |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-dbdf0d3b80c44946bc133ce8d359cf9e2025-08-20T02:21:17ZengWileyShock and Vibration1070-96221875-92031997-01-0145-632734010.3233/SAV-1997-45-604Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular VibrationsHans-Jürgen von Martens0Physikalisch-Technische Bundesanstalt (PTB), Fürstenwalder Damm 388, 12587 Berlin, GermanyA 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.http://dx.doi.org/10.3233/SAV-1997-45-604 |
| spellingShingle | Hans-Jürgen von Martens Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations Shock and Vibration |
| title | Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations |
| title_full | Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations |
| title_fullStr | Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations |
| title_full_unstemmed | Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations |
| title_short | Investigations into the Uncertainties of Interferometric Measurements of Linear and Circular Vibrations |
| title_sort | investigations into the uncertainties of interferometric measurements of linear and circular vibrations |
| url | http://dx.doi.org/10.3233/SAV-1997-45-604 |
| work_keys_str_mv | AT hansjurgenvonmartens investigationsintotheuncertaintiesofinterferometricmeasurementsoflinearandcircularvibrations |