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Contact stress and bending stress calculation model of spur face gear drive based on orthogonal test

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Abstract

As the stress of gears determines the reliability of transmission, the stress research of face gear drive has great significance from the perspective of both theory and practice. The finite element model of orthogonal spur face gear meshing is attained via root-top section lofting method. The geometry parameters (include modulus, teeth number of face gear, teeth number of pinion and pressure angle) and transmission parameter (nominal contact force) are considered in the stress modeling. This paper, respectively established the empirical equations for contact stress and bending stress of face gear and pinion through stepwise regression by using single factor test and orthogonal test. The empirical equations have been validated by comparing them with results obtained from FEA.

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References

  • Cao Y, Huang L, Bai Y (2018) A tooth surface section lofting method of exact spur face gear model based on complex tooth surface grid planning principle. Cluster Comput 1:1–9

    Google Scholar 

  • Chen S, Hong X, Harris CJ (2003) Sparse kernel regression modeling using combined locally regularized orthogonal least squares and d-optimality experimental design. IEEE Trans Autom Control 48(6):1029–1036

    Article  MathSciNet  Google Scholar 

  • Cui W, Li X, Zhou S, Weng J (2007) Investigation on process parameters of electrospinning system through orthogonal experimental design. J Appl Polym Sci 103(5):3105–3112

    Article  Google Scholar 

  • Gonzalez-Perez Ignacio, Fuentes-Aznar Alfonso (2017) Implementation of a finite element model for stress analysis of gear drives based on multi-point constraints. Mech Mach Theory 117:35–47

    Article  Google Scholar 

  • Gugan D (2000) Inelastic collision and the Hertz theory of impact. Am J Phys 68(10):920–924

    Article  Google Scholar 

  • Karna Shyam Kumar, Sahai Rajeshwar (2012) An overview on Taguchi method. Int J Eng Math Sci 1:11–18

    Google Scholar 

  • Kumaravadivel A, Natarajan U, Ilamparithi C (2012) Determining the optimum green sand casting process parameters using Taguchi’s method. J Chin Inst Indust Eng 29(2):148–162

    Google Scholar 

  • Lewis W (1992) Investigation of the strength of gear teeth. Gear Technology, Nov/Dec,1992, 19–23. https://www.geartechnology.com/issues/1192x/lewis.pdf

  • Litvin FL, Wang JC, Bossler RB, Chen YJ, Heath G, Lewicki DG (1994) Application of face-gear drives in helicopter transmissions. J Mech Des 116(3):672–676

    Article  Google Scholar 

  • Litvin FL, Egelja A et al (2000) Handbook on face gear drives with a spur involute pinion. NASA/CR-2000-209909 2000:1–105

    Google Scholar 

  • Litvin F, Fuentes A, Zanzi C, Pontiggia M (2002) Design, generation, and stress analysis of two versions of geometry of face-gear drives. Mech Mach Theory 37(10):1179–1211

    Article  Google Scholar 

  • Mao K (2007) Gear tooth contact analysis and its application in the reduction of fatigue wear. Wear 262:1281–1288

    Article  Google Scholar 

  • Merritt HE (1952) Gear-tooth stresses and rating formulae. Proc Inst Mech Eng 166(1):196–216

    Article  Google Scholar 

  • Patil SS, Karuppanan S, Atanasovaks I, Wahab AA (2014) Contact stress analysis of helical gear pairs, including frictional coefficients. Int J Mech Sci 85:205–211

    Article  Google Scholar 

  • Wei Feng, Lin Hua (2011) Multi-objective optimization of process parameters for the helical gear precision forging by using Taguchi method. J Mech Sci Technol 25(6):1519

    Article  Google Scholar 

  • Yahaya Aminatul Hawa, Abdullah Noraini, Zainodin HJ (2012) Multiple regression models up to first-order interaction on hydrochemistry properties. Asian J Math Stat 5(4):121–131

    Article  Google Scholar 

Download references

Acknowledgements

This paper is supported by Jiangsu Overseas Visiting Scholar Program for University Prominent Young and Middle-aged Teachers and Presidents.

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Correspondence to Min Jin.

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Jin, M., Islam, M.R., Li, L. et al. Contact stress and bending stress calculation model of spur face gear drive based on orthogonal test. Microsyst Technol 26, 1055–1065 (2020). https://doi.org/10.1007/s00542-019-04630-w

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  • DOI: https://doi.org/10.1007/s00542-019-04630-w

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