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Correction

Correction: Liu et al. A Semi-Analytical Loaded Contact Model and Load Tooth Contact Analysis Approach of Ease-Off Spiral Bevel Gears. Machines 2024, 12, 623

School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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Author to whom correspondence should be addressed.
Machines 2026, 14(1), 18; https://doi.org/10.3390/machines14010018 (registering DOI)
Submission received: 10 September 2025 / Revised: 28 September 2025 / Accepted: 29 September 2025 / Published: 22 December 2025
(This article belongs to the Section Electrical Machines and Drives)

Text Correction

There is an error in the original publication [1]. The author’s name was mentioned wrong for the reference [23].
A correction has been made to the Paragraph 4 in Section 1:
Original Text:
Adrian Ghionea [23] proposed a new penetration-based contact model that enables more efficient and accurate computation of three-dimensional contact loads, thereby supporting system-level and dynamic analysis, addressing the challenges of contact simulation posed by the complex geometry of spiral bevel gears.
Corrected Text:
Vivet [23] proposed a new penetration-based contact model that enables more efficient and accurate computation of three-dimensional contact loads, thereby supporting system-level and dynamic analysis, addressing the challenges of contact simulation posed by the complex geometry of spiral bevel gears.

Error in Figure

In the original publication, there was a mistake in Figure 1, showing the generalized bevel gear generation configuration, as published [1]. The original Figure 1 was used without proper citation and copyright clearance (this was an unintentional oversight). The corrected Figure 1 appears below.

References

With the addition of reference [26], the order of the subsequent references was updated accordingly.
26.
Efstathiou, C.; Tapoglou, N. Simulation of spiral bevel gear manufacturing by face hobbing and prediction of the cutting forces using a novel CAD-based model. Int. J. Adv. Manuf. Technol. 2022, 122, 3789–3813.
The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Reference

  1. Liu, Y.; Chen, L.; Mao, X.; Shangguan, D. A Semi-Analytical Loaded Contact Model and Load Tooth Contact Analysis Approach of Ease-Off Spiral Bevel Gears. Machines 2024, 12, 623. [Google Scholar] [CrossRef]
Figure 1. Cutter, work gear, and cradle rotation in face hobbing (inspired by [26]).
Figure 1. Cutter, work gear, and cradle rotation in face hobbing (inspired by [26]).
Machines 14 00018 g001
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Share and Cite

MDPI and ACS Style

Liu, Y.; Chen, L.; Mao, X.; Shangguan, D. Correction: Liu et al. A Semi-Analytical Loaded Contact Model and Load Tooth Contact Analysis Approach of Ease-Off Spiral Bevel Gears. Machines 2024, 12, 623. Machines 2026, 14, 18. https://doi.org/10.3390/machines14010018

AMA Style

Liu Y, Chen L, Mao X, Shangguan D. Correction: Liu et al. A Semi-Analytical Loaded Contact Model and Load Tooth Contact Analysis Approach of Ease-Off Spiral Bevel Gears. Machines 2024, 12, 623. Machines. 2026; 14(1):18. https://doi.org/10.3390/machines14010018

Chicago/Turabian Style

Liu, Yuhui, Liping Chen, Xian Mao, and Duansen Shangguan. 2026. "Correction: Liu et al. A Semi-Analytical Loaded Contact Model and Load Tooth Contact Analysis Approach of Ease-Off Spiral Bevel Gears. Machines 2024, 12, 623" Machines 14, no. 1: 18. https://doi.org/10.3390/machines14010018

APA Style

Liu, Y., Chen, L., Mao, X., & Shangguan, D. (2026). Correction: Liu et al. A Semi-Analytical Loaded Contact Model and Load Tooth Contact Analysis Approach of Ease-Off Spiral Bevel Gears. Machines 2024, 12, 623. Machines, 14(1), 18. https://doi.org/10.3390/machines14010018

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