Advances in Applied Sciences

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Research on Problems of Fracture Mechanics About the Spur Gears with Cracked Tooth

Received: Jul. 12, 2017    Accepted: Jul. 19, 2017    Published: Oct. 30, 2017
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Abstract

Taking the spur gear as the object of study, based on the dynamic analysis of gear transmission system, the dynamic stress intensity factors of cracked gear teeth are studied by using ANSYS software. The calculation of dynamic stress intensity factor is realized by ANSYS parametric design language. Firstly, the involute tooth profile equation and the root transition curve equation of the gear teeth in the rectangular coordinate system are established, and the geometric model of the gear tooth is generated, and the crack is generated at the root of the gear tooth. Then, the mesh is divided and the loads are applied. Finally, the stress intensity factors at different crack depths are calculated and analyzed. The results show that the stress intensity factor varies significantly with the variation that location of the meshing point and the depth of the crack.

DOI 10.11648/j.aas.20170206.11
Published in Advances in Applied Sciences ( Volume 2, Issue 6, December 2017 )
Page(s) 93-99
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Crack Depth, The Stress Intensity Factor, Crack Tip, ANSYS Parametric Design Language (APDL)

References
[1] Li Huamin, Han Yuanying. The geometrical principle and calculation of involute gear. China Machine Press, Beijing, China, 1985.
[2] Wu Junrong. Coupled analysis of dynamics and fracture mechanics of cracked gear transmission system. Wuhu: Anhui Polytechnic University, 2012.
[3] Wu Jinliang, Wang Zhonghou, Li Guang. Study on crack propagation characteristics and remaining life of helical gear. Journal of Mechanical Transmission, 2014, 38 (12): 1-4.
[4] Liu Xinbo, Zeng Xiaosong, Liu Yong. Prediction and analysis of bending fatigue crack growth behavior of spur gear. Journal of Mechanical Transmission, 2016, 40 (09): 179-183.
[5] Wan Zhiguo, Zi Yanyang, Cao Hongrui. Gear crack propagation simulation and analysis of mesh stiffness. Applied Mathematics and Mechanics, 2015, 36 (S1): 14-20.
[6] Yang Shenghua. The fracture process simulation and fracture strength of gear tooth in mining machine. Colliery Mechanical & Electrical Technology, 2004, (05): 35-38.
[7] Ting Zou, Mathew Shaker, Jorge Angeles, Alexei Morozov. An innovative tooth root profile for spur gears and its effect on service life. Meccanica. 2017, 52 (8): 1825-1841.
[8] F. Curà, A. Mura, C. Rosso. Influence of high speed on crack propagation path in thin rim gears. Fatigue & Fracture of Engineering Materials & Structures. 2017, 40 (1): 120-129.
[9] ZengTao Chen, B. L. Karihaloo, Shou-Wen Yu. Griffith crack moving along the interface of two dissimilar piezoelectric materials. International Journal of Fracture, 1998, 91 (2): 197-203.
[10] S. Glodez, Z. Ren, J. Flashker. Surface fatigue of gear teeth flanks. Computers and structures. 1999, (73): 475-483.
[11] Gu Hao. Fracture mechanics analysis of involute gear tooth crack. Nanjing: Nanjing University of Aeronautics and Astronautics, 2007.
[12] Shi Haifang, Ren Xin. Mechanical properties of materials. Peking University Press, Beijing, China, 2010.
[13] Su Cheng, Yin Pengpeng. Analysis of nonlinear dynamics in a spur gear pair system. China Mechanical engineering, 2011, 22 (16): 1922-1928.
[14] Sun Zhimi, Shen Yunwe, Li Hua. Coexistence of stationary and strange attractors in a star gear drive system [J]. Journal of Vibration Engineering, 2003, 16 (2): 242-246.
[15] Ye Xianlei, Si Yajie. Application example of ANSYS engineering analysis software. Tsinghua University Press, Beijing, China, 2003.
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  • APA Style

    Zhang Dawei, Wang Shufeng. (2017). Research on Problems of Fracture Mechanics About the Spur Gears with Cracked Tooth. Advances in Applied Sciences, 2(6), 93-99. https://doi.org/10.11648/j.aas.20170206.11

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    ACS Style

    Zhang Dawei; Wang Shufeng. Research on Problems of Fracture Mechanics About the Spur Gears with Cracked Tooth. Adv. Appl. Sci. 2017, 2(6), 93-99. doi: 10.11648/j.aas.20170206.11

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    AMA Style

    Zhang Dawei, Wang Shufeng. Research on Problems of Fracture Mechanics About the Spur Gears with Cracked Tooth. Adv Appl Sci. 2017;2(6):93-99. doi: 10.11648/j.aas.20170206.11

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  • @article{10.11648/j.aas.20170206.11,
      author = {Zhang Dawei and Wang Shufeng},
      title = {Research on Problems of Fracture Mechanics About the Spur Gears with Cracked Tooth},
      journal = {Advances in Applied Sciences},
      volume = {2},
      number = {6},
      pages = {93-99},
      doi = {10.11648/j.aas.20170206.11},
      url = {https://doi.org/10.11648/j.aas.20170206.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.aas.20170206.11},
      abstract = {Taking the spur gear as the object of study, based on the dynamic analysis of gear transmission system, the dynamic stress intensity factors of cracked gear teeth are studied by using ANSYS software. The calculation of dynamic stress intensity factor is realized by ANSYS parametric design language. Firstly, the involute tooth profile equation and the root transition curve equation of the gear teeth in the rectangular coordinate system are established, and the geometric model of the gear tooth is generated, and the crack is generated at the root of the gear tooth. Then, the mesh is divided and the loads are applied. Finally, the stress intensity factors at different crack depths are calculated and analyzed. The results show that the stress intensity factor varies significantly with the variation that location of the meshing point and the depth of the crack.},
     year = {2017}
    }
    

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    T1  - Research on Problems of Fracture Mechanics About the Spur Gears with Cracked Tooth
    AU  - Zhang Dawei
    AU  - Wang Shufeng
    Y1  - 2017/10/30
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    T2  - Advances in Applied Sciences
    JF  - Advances in Applied Sciences
    JO  - Advances in Applied Sciences
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    EP  - 99
    PB  - Science Publishing Group
    SN  - 2575-1514
    UR  - https://doi.org/10.11648/j.aas.20170206.11
    AB  - Taking the spur gear as the object of study, based on the dynamic analysis of gear transmission system, the dynamic stress intensity factors of cracked gear teeth are studied by using ANSYS software. The calculation of dynamic stress intensity factor is realized by ANSYS parametric design language. Firstly, the involute tooth profile equation and the root transition curve equation of the gear teeth in the rectangular coordinate system are established, and the geometric model of the gear tooth is generated, and the crack is generated at the root of the gear tooth. Then, the mesh is divided and the loads are applied. Finally, the stress intensity factors at different crack depths are calculated and analyzed. The results show that the stress intensity factor varies significantly with the variation that location of the meshing point and the depth of the crack.
    VL  - 2
    IS  - 6
    ER  - 

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Author Information
  • College of Transportation, Shandong University of Science and Technology, Qingdao, China

  • College of Transportation, Shandong University of Science and Technology, Qingdao, China

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