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A note on determination of center of disk-cam curvature

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Abstract

While the Euler-Savary equation (ESE) has been extensively utilized to locate the center of curvature of the coupler point of planar linkages, comparatively little research has attempted to determine the center of curvature of the disk-cam profile using the ESE. The obstruction of applying the ESE to determine the center of curvature of the disk-cam profile results from the burdensome accessibility of the inflection circle describing the relative motion between the cam and the follower. Therefore, in this paper, we intend to fill the void by introducing Hall’s derivation (Hall in Kinematics and linkage design, Prentice Hall, Hoboken, 1961) for constructing the inflection circle. In addition, the concept of the equivalent linkage is applied to better visualize the conjugate points pairs in the cam mechanism. With the inflection circle obtained from the presented approach, the ESE can advantageously be applied to locate the conjugate point for the center of curvature of the follower’s face, which is the center of curvature of the disk cam profile.

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Acknowledgements

The authors would like to express their gratitude to Dr. Long-Iong Wu. His inspiring work [25] makes this paper possible. In addition, the authors also wish to acknowledge the support of the department of Mechanical Engineering at National Taiwan University. In addition, the first author offers his grateful thanks to the dedicated referees of this work, whose collective comments form the fundamentals of the research. Most importantly, the Young Scholar Fellowship Program supported by the Ministry of Science and Technology of Taiwan (MOST 110-2636-E-002-023 and 111-2222-E-002-002-MY3) encourages the author to fearlessly devote to his research.

Funding

This research was funded by Ministry of Science and Technology of Taiwan, under grant number MOST 110-2636-E-002-023 and 111-2222-E-002-002-MY3.

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  1. Department of Mechanical Engineering, National Taiwan University, Taipei, 10617, Taiwan

    Kuan-Lun Hsu & Tai-Yen Hsu

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  1. Kuan-Lun Hsu
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Correspondence to Kuan-Lun Hsu.

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Hsu, KL., Hsu, TY. A note on determination of center of disk-cam curvature. Meccanica 57, 2413–2429 (2022). https://doi.org/10.1007/s11012-022-01564-y

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