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Chinese Journal of Mechanical Engineering
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Geometry design and tooth contact analysis of crossed beveloid gears for marine transmissions

Chinese Journal of Mechanical Engineering volume 25, pages 328–337 (2012)Cite this article

Abstract

Beveloid gears, also known as conical gears, gain more and more importance in industry practice due to their abilities for power transmission between parallel, intersected and crossed axis. However, this type of gearing with crossed axes has no common plane of action which results in a point contact and low tooth durability. Therefore, a geometry design approach assuming line contact is developed to analyze the tooth engagement process of crossed beveloid gears with small shaft angle for marine transmission applications. The loaded gear tooth contact behavior is simulated by applying a quasi-static analysis to study the effects of gearing parameters on mesh characteristics. Using the proposed method, a series of sensitivity analyses to examine the effects of critical gearing parameters such as shaft angle, cone angle, helix angle and profile-shift coefficient on the theoretical gear mesh is performed. The parametric analysis of pitch cone design shows that the dominant design parameters represented by the angle between the first principle directions (FPD) and normal angular factor are more sensitive to the shaft and cone angles than they are to the helix angle. The theoretical contact path is highly sensitive to the profile-shift coefficient, which is determined from the theoretical tooth contact analysis. The FPD angle is found to change the distribution of contact pattern, contact pressure and root stress as well as the translational transmission error and the variation of the mesh stiffness significantly. The contact pattern is clearly different between the drive and coast sides due to different designed FPD angles. Finally, a practical experimental setup for marine transmission is performed and tooth bearing test is conducted to demonstrate the proposed design procedure. The experimental result compared well with the simulation. Results of this study yield a better understanding of the geometry design and loaded gear mesh characteristics for crossed beveloid gears used in marine transmission.

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Authors and Affiliations

  1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400030, China

    Caichao Zhu, Chaosheng Song & Teik Chin Lim

  2. School of Dynamics Systems at University of Cincinnati, Cincinnati, Ohio, 45221, USA

    Teik Chin Lim

  3. Advanced Numerical Solutions, 3956 Brown Park Drive, Suite B, Hilliard, Ohio, 43026, USA

    Sandeep Vijayakar

Authors
  1. Caichao Zhu
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  2. Chaosheng Song
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  3. Teik Chin Lim
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  4. Sandeep Vijayakar
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Corresponding author

Correspondence to Chaosheng Song.

Additional information

This project is supported by Fundamental Research Funds for Central Universities of China (Grant No. CDJXS11111138, Key Projects in the National Science & Technology Pillar Program during the 11th Five-Year Plan Period of China(Grant No. 2011BAF09B07), and National Natural Science Foundatlon of China(Grant No. 51175523)

ZHU Caichao, born in 1967, is currently a professor and a PhD candidate supervisor at State Key Laboratory of Mechanical Transmission, Chongqing University, China. He received his PhD degree from Chongqing University, China, in 1998. His research interests include design and dynamics of precision machine elements, gear noise and vibration control.

SONG Chaosheng, born in 1983, is currently a PhD candidate at State Key Laboratory of Mechanical Transmission, Chongqing University, China. He received his master degree on mechanical design and theory in Chongqing University, China, in 2007. He spent one year as a visiting scholar at University of Cincinnati to conduct research in gear design and gear dynamics. His research interests include design and dynamics of beveloid geared rotor system.

LIM Teik Chin, born in 1965, is currently the Herman Schneider Professor of mechanical engineering and director of School of Dynamic Systems at University of Cincinnati, Ohio, USA. Also, since 2008, he holds the Chang Jiang Chair Professorship at Chongqing University of China. He received his PhD degree in mechanical engineering from the Ohio State University, USA, in 1989. His research interests include gear noise and vibrations, structural vibrations and acoustics, active noise and vibration control, automotive NVH (noise, vibration & harshness) and product sound quality design.

VIJAYAKAR Sandeep, is currently the owner and Chief Technical Officer of Advanced Numerical Solutions (ANSOL), Ohio, USA. He has developed finite element and contact mechanics models and programs for analyzing response of rotating gears and bearings. He received the PhD in mechanical engineering from the Ohio State University, USA, in 1987. His research interests include contact mechanics, finite elements, gear design, gear dynamics and advanced numerical algorithms.

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Zhu, C., Song, C., Lim, T.C. et al. Geometry design and tooth contact analysis of crossed beveloid gears for marine transmissions. Chin. J. Mech. Eng. 25, 328–337 (2012). https://doi.org/10.3901/CJME.2012.02.328

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  • DOI: https://doi.org/10.3901/CJME.2012.02.328

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