Advertisement

Modeling and Simulation of Mild Wear of Spur Gear Considering Radial Misalignment

  • Paras KumarEmail author
  • Harish Hirani
  • Atul Kumar Agrawal
Research Paper

Abstract

An appropriate clearance is required between mating gears for effective power transmission. In the present work, the effect of radial misalignment on mild wear of spur gear is modeled and simulated. The changes in the gear tooth contact geometry due to progressive wear have also been accounted in the model. The simulation results show that in the pinion dedendum region, pressure angle increases, while the contact pressure and wear depth decrease with increase in number of wear cycles. As far as the effect of radial misalignment is concerned, contact pressure decreases and wear depth increases with the increase in misalignment. In the pinion addendum region, pressure angle and wear depth increase with the increase in wear cycles, while the contact pressure and wear depth decrease with the increase in misalignment. The pressure angle and pitch point change from initial 20° (23rd pitch point) to 20.95° (26th pitch point) and 21.86° (28th pitch point) due to 0.5- and 1-mm radial misalignment, respectively. The wear depths after 50,000 wear cycles are − 1.32 × 10−2 μm, − 3.33 × 10−3 μm and − 4.39 × 10−4 μm at 23rd, 26th and 28th pitch points, respectively. The effect of radial misalignment on backlash, pressure angle, pitch point, contact ratio, double tooth contact region and speed ratio is also discussed.

Keywords

Spur gear Wear simulation and modeling Progressive wear Radial misalignment Backlash 

List of symbols

aH

Semi-Hertzian contact width

E

Equivalent young’s modulus

Ep

Young’s modulus of pinion material

Eg

Young’s modulus of gear material

Ft

Transmitted load

H

Hardness

K

Dimensionless wear coefficient

k

Specific wear coefficient \(\left( { = \frac{K}{H}} \right)\)

P

Contact pressure

rA

Radius at point ‘A’ on involute profile

rB

Radius at point ‘B’ on involute profile

SA

Tooth thickness at point ‘A’ on involute profile

SB

Tooth thickness at point ‘B’ on involute profile

t

Sliding duration

v

Sliding velocity

y

Distance between pitch point and the instantaneous point of contact

ωp

Angular speed of pinion

ωg

Angular speed of gear

φ

Pressure angle at pitch point ‘P’

φA

Pressure angle at point ‘A’

φB

Pressure angle at point ‘B’

Subscript

p

Pinion

g

Gear

References

  1. Anderson S, Eriksson B (1990) Prediction of the sliding wear of spur gears. In: Proceedings of Nordtrib’90, Hirthshals, DenmarkGoogle Scholar
  2. Andersson S (1975) Partial EHD theory and initial wear of gears. Doctoral Thesis, Royal Institute of Technology, StockholmGoogle Scholar
  3. Bajpai P, Kahraman A, Anderson NE (2004) A surface wear prediction methodology for parallel-axis gear pairs. J Tribol 126:597–605CrossRefGoogle Scholar
  4. Brauer J, Andersson S (2003) Simulation of wear in gears with flank interference—a mixed FE and analytical approach. Wear 254:1216–1232CrossRefGoogle Scholar
  5. Dhanasekaran S, Gnanamoorthy R (2008) Gear tooth wear in sintered spur gears under dry running conditions. Wear 265:81–87CrossRefGoogle Scholar
  6. Flodin A, Andersson S (1997) Simulation of mild wear in spur gears. Wear 207:16–23CrossRefGoogle Scholar
  7. Hegadekatte V, Hilgert J, Kraft O, Huber N (2010) Multi time scale simulations for wear prediction in micro-gears. Wear 268:316–324CrossRefGoogle Scholar
  8. Khabou MT, Hentati T, Abbes MS, Chaari F, Haddar M (2012) Nonlinear modeling and simulation of spur gear with defected bearings. Multidiscip Model Mater Struct 8(2):97–212Google Scholar
  9. Kumar P, Hirani H, Agrawal AK (2017) Fatigue failure prediction in spur gear pair using AGMA approach. Mater Today: Proc 4:2470–2477Google Scholar
  10. Lu JW, Chen H, Zeng FL, Vakakis AF, Bergman LA (2014) Influence of system parameters on dynamic behavior of gear pair with stochastic backlash. Meccanica 49:429–440MathSciNetCrossRefzbMATHGoogle Scholar
  11. Lundvall O, Klarbring A (2001) Simulation of wear by use of a non-smooth Newton method—a spur gear application. Mech Struct Mach 29(2):223–238CrossRefGoogle Scholar
  12. Maitra GM (2012) Handbook of gear design. Tata McGraw Hill, New DelhiGoogle Scholar
  13. Onishchenko V (2008) Tooth Wear modeling and prognostication parameters of engagement of spur gear power transmissions. Mech Mach Theory 43:1639–1664CrossRefzbMATHGoogle Scholar
  14. Patil P, Kumar A (2017) Dynamic structural and thermal characteristics analysis of oil-lubricated multi-speed transmission gearbox: variation of load, rotational speed and convection heat transfer. Iran J Sci Technol Trans Mech Eng 41(4):281–291CrossRefGoogle Scholar
  15. Wojnarowski J, Onishchenko V (2003) Tooth wear effects on spur gear dynamics. Mech Mach Theory 38:161–178CrossRefzbMATHGoogle Scholar
  16. Wu S, Cheng HS (1993) Sliding wear calculation in spur gears. J Tribol 115:493–500CrossRefGoogle Scholar
  17. Zhang J, Liu X (2015) Effects of misalignment on surface wear of spur gears. Proc I Mech E Part J: J Eng Tribol 229(9):1145–1158CrossRefGoogle Scholar

Copyright information

© Shiraz University 2018

Authors and Affiliations

  1. 1.Mechanical Engineering DepartmentDelhi Technological UniversityDelhiIndia
  2. 2.Mechanical Engineering DepartmentIIT DelhiHauzkhasIndia

Personalised recommendations