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Effect of Profile Shift Factor on Contact Stress and Natural Frequencies of Spur Gear


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DOI: https://doi.org/10.15866/iremos.v13i6.19340

Abstract


High levels of contact stress between mating teeth can damage the contact surface and hall structure of spur gears, driving research that has aimed to minimize this stress. This study analyzed the effects of the profile shift factor (x) on the contact stress between a pair of spur gear teeth. Five profile shift factors were considered, from x = 0 (standard spur gear) to x=0.2. For each case, theoretical results were calculated based on the Hertzian contact theory and ISO-equations of contact stress and subsequently compared with results generated in the ANSYS Workbench software using the finite element method. Modal analysis was performed to compare the mode shape frequencies of all profile shift factor values. The harmonic responses indicate that the stresses generated by our geometry are less than the maximum material stress.
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Keywords


Contact Stress; Profile Shift Factor; Spurs Gear; Contact Ratio Factor; ISO Standard; ANSYS; Modal Analysis; Harmonic Response Analysis

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References


V. M. Salas-Mora, G. Richmond-Navarro, Safety Design of a Hybrid Wind-Solar Energy System for Rural Remote Areas in Costa Rica, International Journal of Renewable Energy Research-IJRER, Vol. 10(Issue 1):33-44, March 2020.

N. Feki, M. Karray, M.T. Khabou, F. Chaari, and M. Haddar, Frequency analysis of a two-stage planetary gearbox using two different methodologies, C. R. M, Vol. 345(Issue 12):832-843, 2017.
https://doi.org/10.1016/j.crme.2017.10.001

Montonen, J., Nokka, J., Pyrhönen, J., Virtual Wheel Loader Simulation – Defining the Performance of Drive-Train Components, (2016) International Review on Modelling and Simulations (IREMOS), 9 (3), pp. 208-216.
https://doi.org/10.15866/iremos.v9i3.8557

H. A. Zschippang, N. Lanz, K.A. Küçük, S. Weikert, K. Wegener, Face-gear drive: Assessment of load sharing, transmission characteristics and root stress based on a quasi-static analysis, Mechanism and Machine Theory, Vol. 151:103914, 2020.
https://doi.org/10.1016/j.mechmachtheory.2020.103914

A. Maper, S. Karuppanan, S. S. Patil, Analysis and formulation of spur gear stress with different tip modifications, Journal of central south university, Vol. 26(Issue 9):2368-2378, 2019.
https://doi.org/10.1007/s11771-019-4180-x

D. W. Dudley, Handbook of Practical Gear Design (McGraw- Hill Book Company, 1984).

Jerrar, H., El Marjani, A., Boudi, E., Calculation Model of Gear Meshing Stiffness Using FEM, (2015) International Review on Modelling and Simulations (IREMOS), 8 (4), pp. 477-484.
https://doi.org/10.15866/iremos.v8i4.6492

E. Buckingham, Dynamic loads on gear teeth (ASME research publ, 1931).

N. K. Fukumasu, G. A. A. Machado, R. M. Souza, I.F. Machado, Stress Analysis to Improve Pitting Resistance in Gear Teeth, 3rd CIRP Conference on Surface Integrity (CIRP CSI), Vol.45, pp. 255 – 258, 2016.
https://doi.org/10.1016/j.procir.2016.02.349

A. R. Hassan, Contact Stress Analysis of Spur Gear Teeth Pair, International Journal of Mechanical Engineering, Vol. 3(Issue 10):1279-1284, 2009.

M. El Houari Bouanane, M. Bouchama, Optimization of trochoid shape in spur gears, C. R. M, Vol.331(Issue 5):373–382, 2003.
https://doi.org/10.1016/S1631-0721(03)00083-4

C. Zhou, F. Huang, X, Han, An elastic-plastic asperity contact model and its application for micro-contact analysis of gear tooth profiles, International Journal of Mechanics and Materials in Designs, Vol.13 (Issue 3):335-345, 2017.
https://doi.org/10.1007/s10999-016-9338-1

T. Guo, X. Hua, Z. Yan, C. Bai, Research on the elastic-plastic external contact mechanical properties of cylinder, Science Progress, Vol. 103 (Issue 2):1-14, 2020.
https://doi.org/10.1177/0036850420927817

Laghzale, N., Bouzid, A., Analytical Modelling of Elastic-Plastic Interference Fit Joints, (2016) International Review on Modelling and Simulations (IREMOS), 9 (3), pp. 191-199.
https://doi.org/10.15866/iremos.v9i3.8703

S. Belarhzal, E. Boudi, A. Bachir, Analysis of Profile Shift Factor’s Effect on Bending Stress of Spur gears Using The Finite Element Method, IEEE 6th International Conference on Optimization and Applications (ICOA), pp. 1-7, Beni Mellal, Morocco, May 2020.
https://doi.org/10.1109/icoa49421.2020.9094486

H. Fakhfakh, Study of the dynamic behavior of a multi-stage system with cascade and offset meshing with spur and helical gears – Optimization of profile corrections, Ph.D. dissertation, Dept. Mechanics., Lyon Univ., Lyon Fr, 2019.

J. E. Shigley, C. R. Mischke, Standard handbook of machine design, (McGraw-Hill, New York, 1996).

S. Belarhzal, E. Boudi, A. Bachir, The Effect of Addendum Factor on Contact Ratio Factor and Contact Stress for Spur Gears, 7th International Renewable and Sustainable Energy Conference (IRSEC), pp. 1-6, Agadir, Morocco, 2019.
https://doi.org/10.1109/irsec48032.2019.9078205

M. Pleguezuelos, M. Sanchez, J. I. Pedrero, Control of transmission error of high contact spur gears with symmetric profile modifications, Mechanism and Machine Theory, Vol. 149:103839, 2020.
https://doi.org/10.1016/j.mechmachtheory.2020.103839

E. Osakue, L. Anetor, A method for constructing standard involute gear tooth profile, International Mechanical Engineering Congress and Exposition, pp. 1-11, Pittsburgh, PA, USA, 2018.
https://doi.org/10.1115/imece2018-86573

J. Shigley, Mechanical Engineering Design (McGraw-Hill, USA, 2006).

ANSYS Contact Technology Guide, ISO 9001:2000 (Nov. 2004).

F. Djeddou, New conception of gear profile, Ph.D dissertation, Dept. Mechanics., Engineering Science Univ., Setif, Al, 2018.

F. Bokto, P. Bella, M. Hatala, P. Beraxa, D. Lehocka, D. Sutak, Effect of friction coefficient change on internally shaped tubes drawing process using finite element method, Materials Science and Engineering Technology, Vol. 51(Issue 7):948-956, 2020.
https://doi.org/10.1002/mawe.201900177

S. Pabiszczad, R. Staniek, Investigation of contact stress in the eccentric rolling transmission, Investigation of contact stress in the eccentric rolling transmission, International Journal of Simulation Modeling, Vol. 19 (Issue 1):41-52, 2020.
https://doi.org/10.2507/ijsimm19-1-500

A.Deep, Hertizian contact analysis of spur gear, International Journal of Advance research in Science and Engineering, Vol.9 (Issue 2):397-401, 2017.

A. Mohsine and al., Investigation of Structural and Modal Analysis of a Wind Turbine Planetary Gear using Finite Element Method, International Journal of Renewable Energy Research-IJRER, Vol.8 (Issue 2):752-760, June 2018.

Kumar, A., Jaiswal, H., Patil, P., FEM Simulation Based Computation of Natural Frequencies and Mode Shapes of Loose Transmission Gearbox Casing, (2014) International Review on Modelling and Simulations (IREMOS), 7 (5), pp. 900-905.
https://doi.org/10.15866/iremos.v7i5.3932

O. JongBoon, W. Xin, C. Tan, J. Ho, Y. Lim, Modal and stress analysis of gear train design in portal axle using finite element modeling and simulation, Springer Journal of Mechanical Science and Technology, Vol.26(Issue 2):575-589, 2012.
https://doi.org/10.1007/s12206-011-1040-5

N. M. Pathan, V. P. Singh, S. S. Kulkarni, modal analysis of spur gear to determine the natural frequencies and its effect over the geometry of the gear, International Journal of Advanced Engineering Research and Studies, Vol.3(Issue 3):76-78, 2014.

S. A. N. Quadri, P. R. Dolas, Comparative Modal analysis of conventional spur gear with modified involute spur gear, International Research Journal of Engineering and Technology (IRJET), Vol.2 (Issue 4):1752-1756, 2015.
https://doi.org/10.21884/ijmter.2016.3097.mlbyr

O. Graja, B. Zghal, K. Dziedziech, F. Chaari, A. Jablonski, T. Barszcz, M. Haddar, Simulating the dynamic behavior of planetary gearbox based on improved Hanning function, C R M, Vol.347 (Issue 1):49-61, July 2019.
https://doi.org/10.1016/j.crme.2018.09.006

L. Yuan, Harmonic response of power coupling mechanism of coastal ship, Journal of coastal research, Vol. 83(Issue 1):86-92, 2018.
https://doi.org/10.2112/si83-015.1


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