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A research on an inspection method of helix angle for helical gears using fringe projection profilometry

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Abstract

The gear is very important component in the means of transportation. A method for inspection of helix angle on pitch cylinder and reverse design of helical gear based on digital fringe projection profilometry, which is capable of high accuracy and high speed, is presented in this manuscript. The governing equation with 35 unknown parameters that represent the phase-to-height relationship is derived in case of arbitrary arrangement of the camera and projector in the presented work. The least-squares orthogonal distance fitting (LSODF) approach is employed for inspection and reverse design of helical gear. The appropriate mathematical equation of tooth profile of helical gear is proposed. The estimation error of helix angle on pitch cylinder is lower than 0.0166 degree.

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Authors and Affiliations

  1. Faculty of Control Science, University of Natural Science, Un Jong District, Pyong Yang City, Democratic People’s Republic of Korea

    Song-Hyok Ri, Hyon Ri, Bong-Nam Hwang & Un-Bom Min

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  1. Song-Hyok Ri
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  2. Hyon Ri
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  3. Bong-Nam Hwang
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Contributions

Song-Hyok Ri: Conceived the research. Drafted and write manuscript.

Hyon Ri: Performed the numerical simulation for LSODF.

Bong-Nam Hwang: Provided the intrinsic parameter modeling of helical gears.

Un-Bon Min: Performed numeric. Write manuscript.

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Correspondence to Song-Hyok Ri.

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Ri, SH., Ri, H., Hwang, BN. et al. A research on an inspection method of helix angle for helical gears using fringe projection profilometry. Int J Adv Manuf Technol 127, 4607–4618 (2023). https://doi.org/10.1007/s00170-023-11726-1

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  • DOI: https://doi.org/10.1007/s00170-023-11726-1

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