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High Precision Machining of a Displacement Sensor for Helicoidal Motions

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Abstract

This research study presents the design and the high precision manufacture procedure of a fiber-optic displacement sensor. It is composed of two fiber-optic probes associated with a structure of a cones’ grating. The sensor is characterized by its ability to measure the linear displacement for an axis performing a helicoidal motion. This motion has been demonstrated on a high precision lathe; where the spindle provided the rotational motion, associated to a translational motion on the linear stage. This allowed to obtain the two simultaneous motions. The displacement of the translational stage is measured by the sensor in real time. Firstly, a highly precise geometric model of the reflector part for the sensor was developed. This model provided a specific geometry for the cones-assembled grating, which has been precisely manufactured. The geometric parameters and the surface characteristics of each step in the fabricated grating were both identified in situ on the lathe. The agreement between simulation and experimental results is excellent. The performances of the fiber-optic displacement sensor were identified in-situ on the lathe. The analysis of the voltage output signals from the two fiber-optic probes is used to measure the grating displacement. The unbalanced rotation due to non-centered axes was also characterized. The sensor provided a micrometric resolution, on a measurement range of more than one centimeter.

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Abbreviations

C:

The zone due to fabrication constraints (transition zone between two successive steps) (µm)

hmax :

The step height (µm)

hpmax :

The grating segment without orthogonal projection (µm)

l:

The useful length (µm)

lmax :

The total length (µm)

ε:

The angle (°)

ɣ:

The angle at the bottom of the step (°)

Vt :

Translational velocity (mm/s)

Vr :

Rotational velocity (rev./s)

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Authors and Affiliations

Authors

Contributions

FL conceived the study. ZE and CP designed the geometric model. ZE and PR carried out the high precision fabrication procedure. ZE and FL achieved the experimental procedure. ZE, PR and FL did the analysis of the experimental results. ZE drafted the manuscript. All authors read and approved the final manuscript.

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Correspondence to Zeina Elrawashdeh.

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Elrawashdeh, Z., Revel, P., Prelle, C. et al. High Precision Machining of a Displacement Sensor for Helicoidal Motions. Int. J. Precis. Eng. Manuf. 24, 409–422 (2023). https://doi.org/10.1007/s12541-022-00759-3

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  • DOI: https://doi.org/10.1007/s12541-022-00759-3

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