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Rim Thickness Effects on Gear Crack Propagation Life

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Abstract

Analytical and experimental studies were performed to investigate the effect of gear rim thickness on crack propagation life. The FRANC (FRacture ANalysis Code) computer program was used to simulate crack propagation. The FRANC program used principles of linear elastic fracture mechanics, finite element modeling, and a unique re-meshing scheme to determine crack tip stress distributions, estimate stress intensity factors, and model crack propagation. Various fatigue crack growth models were used to estimate crack propagation life based on the calculated stress intensity factors. Experimental tests were performed in a gear fatigue rig to validate predicted crack propagation results. Test gears were installed with special crack propagation gages in the tooth fillet region to measure bending fatigue crack growth. Good correlation between predicted and measured crack growth was achieved when the fatigue crack closure concept was introduced into the analysis. As the gear rim thickness decreased, the compressive cyclic stress in the gear tooth fillet region increased. The retarded crack growth and increased the number of crack propagation cycles to failure.

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References

  • B. Abersek and J. Flasker, Stress intensity factor for a cracked tooth, Theoretical and Applied Fracture Mechanics 20 (1994) 99–104.

    Article  Google Scholar 

  • AGMA, Fundamental Rating Factors and Calculation Methods for Involute Spur and Helical Gear Teeth, ANSI/AGMA 2001-B88, American Gear Manufacturers Association, Alexandria, VA, 1990.

    Google Scholar 

  • J. Ahmad and F.T. Loo, On the Use of Strain Energy Density Fracture Criterion in the Design of Gears Using Finite Element Method, ASME Paper No. 77-DET-158, presented at the Design Technical Conference, Chicago, IL, 1977.

  • C. Albrecht, Transmission design using finite element method analysis techniques, Journal of American Helicopter Society 33(2) (1988) 3–14.

    MathSciNet  Google Scholar 

  • ASTM E-399-90, Standard test method for plane-strain fracture toughness of metallic materials, annual book of ASTM standards, Metals Test Methods and Analytical Procedures 3(1) (1990) 407–437.

    Google Scholar 

  • ASTM E-647-93, Standard test method for measurement of fatigue crack growth rates, annual book of ASTM standards, Metals Test Methods and Analytical Procedures 3(1) (1993) 569–596.

    Google Scholar 

  • J.J. Au, and J.S. Ke, Correlation between fatigue crack growth rate and fatigue striation spacing in AISI 9310 (AMS 6265) steel, Fractography and Materials Science ASTM STP 733, (1981) 202–221.

    Google Scholar 

  • R.S. Barsoum, On the use of isoparametric finite elements in linear fracture mechanics, International Journal for Numerical Methods in Engineering 10(1) (1976) 25–37.

    Article  MATH  Google Scholar 

  • S.K. Chan, I.S. Tuba, and W.K. Wilson, On the finite element method in linear fracture mechanics, Engineering Fracture Mechanics 2(1-A) (1970) 1–17.

    Article  Google Scholar 

  • J.E. Collipriest, An experimentalist's View of the Surface Flaw Problem, The surface crack: Physical Problems and Computational Solutions, American Society of Mechanical Engineers (1972) 43–61.

  • D.C. Couchan, G.K. Barnes, and R.W. Cedoz, Shot-Peened Gear Failures Due to Operation in a Misaligned Condition, AIAA Paper No. AIAA-93-2147, presented at the 29th Joint Propulsion Conference, Monterey, CA, 1993.

  • S.R. Daniewicz, Conception and Development of Improved Analytical Prediction Models for Fatigue Induced Tooth Breakage Due to Cyclic Bending in Spur Gear Teeth, Ph.D. Dissertation, Ohio State University, 1991.

  • S.R. Daniewicz, J.A. Collins and D.R. Houser, The stress intensity factor and stiffness for a cracked spur gear tooth, Journal of Mechanical Design 116(3) (1994).

  • R.J. Drago, and R.V. Lutthans, Combined effects of rim thickness and pitch diameter on spur gear tooth stresses, Journal of the American Helicopter Society 28 (1983) 13–19.

    Google Scholar 

  • W. Elber, The Significance of Fatigue Crack Closure, Damage tolerance in aircraft structures, ASTM STP 486 (1971) 230–242.

    Google Scholar 

  • F. Erdogan and G.C. Sih, On the crack extension in plates under plane loading and transverse shear, Journal of Basic Engineering 85 (1963) 519–527.

    Google Scholar 

  • J. Flasker and A. Jezernik, The comparative analysis of crack propagation in the gear tooth, Proc. International Conference of Application of Fracture Mechanics to Materials and Structures, Freiburg, West Germany, 1983, pp. 971–982.

  • J. Flasker, and S. Pehan, Crack propagation in tooth root with variable loading, Communications in Numerical Methods in Engineering 9(2), (1993) 103–110.

    Article  MATH  Google Scholar 

  • R.G. Forman and T. Hu, Application of Fracture Mechanics on the Space Shuttle, Damage tolerance of metallic structures: Analysis methods and applications, ASTM STP 842 (1984) 108–133.

    Google Scholar 

  • B. Hefeng, M. Savage and R.J. Knorr, Computer modeling of rack-generated spur gears, Mechanism and Machine Theory 20(4) (1985) 351–360.

    Article  Google Scholar 

  • R.D. Henshell and K.G. Shaw, Crack tip finite elements are unnecessary, International Journal for Numerical Methods in Engineering 9 (1975) 495–507.

    Article  MATH  Google Scholar 

  • H. Honda and J.C. Conway, An analysis by finite element techniques of the effects of a crack in the gear tooth fillet and its applicability to evaluating strength of the flawed gears, Bulletin of the JSME 22(174) (1979) 1848–1855.

    Google Scholar 

  • K. Inoue, M. Kato, G. Deng and N. Takatsu, Fracture mechanics based evaluation of strength of carburized gear teeth, Proc. JSME International Conference on Motion and Power Transmissions, Hiroshima, Japan, 1991, pp. 801–806.

  • M. Kato, K. Inoue, G. Deng and B.S. Jeong, Strength evaluation of carburized gear teeth based on fracture mechanics, Proc. KSME/JSME Joint Conference Fracture and Strength '90, Seoul, Korea, 1990, pp. 248–253.

  • D. G. Lewicki and R. Ballarini, Effect of Rim Thickness on Gear Crack Propagation Path, submitted for review to the ASME Journal of Mechanical Design, 1996.

  • P.D. McFadden, Analysis of the Vibration of the Input Bevel Pinion in RAN Wessex Helicopter Main Rotor Gearbox WAK143 Prior to Failure, Aeronautical Research Laboratories Report No. AR-004-049, 1985.

  • G. Nicoletto, Approximate stress intensity factors for cracked gear teeth, Engineering Fracture Mechanics 44(2) (1993) 231–242.

    Article  Google Scholar 

  • P.C. Paris and F. Erdogen, A critical analysis of crack propagation laws, Journal of Basic Engineering 85 (1963) 528–534.

    Google Scholar 

  • P3/PATRAN, P3/PATRAN User Manual, PDA Engineering, Costa Mesa, CA, 1993.

    Google Scholar 

  • D.P. Townsend and E.N. Bamberger, Surface fatigue life of carburized and hardened M50NiL and AISI 9310 spur gears and rolling-contact test bars, Journal of Propulsion and Power 7(4) (1991) 642–649.

    Article  Google Scholar 

  • D.M. Tracey, Discussion of ‘On the use of isoparametric finite elements in linear fracture mechanics’ by R.S. Barsoum, International Journal for Numerical Methods in Engineering 11 (1977) 401–402.

    Article  Google Scholar 

  • P.A. Wawrzynek, Discrete Modeling of Crack Propagation: Theoretical Aspects and Implementation Issues in Two and Three Dimensions, Ph.D. Dissertation, Cornell University, 1991.

  • M.L. Williams, On the stress distribution at the base of a stationary crack, Journal of Applied Mechanics 24(1) (1957) 109–114.

    MATH  Google Scholar 

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Lewicki, D.G., Ballarini, R. Rim Thickness Effects on Gear Crack Propagation Life. International Journal of Fracture 87, 59–86 (1997). https://doi.org/10.1023/A:1007368801853

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