An analytical modeling and simulation methodology to improving load distribution in helical gear systems is presented in this research study. Fundamental parts of many mechanical systems, helical gears provide the benefits of smooth engagement, lower noise levels, and increased weight bearing capability. However, retaining lifespan and dependability in gear systems requires establishing regular load distribution throughout the gear teeth. This work explores the parameters influencing load distribution and suggests strategies for enhancing the efficiency of helical gear systems using sophisticated computational techniques and analytical methodology. The analytical model predicts contact stresses and load-sharing behavior among the gear teeth by taking into account qualities including gear shape, material properties, operating loads, and contact settings. The analytical model can be confirmed by numerical simulations, which also examine how different design parameters affect load distribution. The findings provide light on how surface roughness, lubrication conditions, helix angle, and tooth shape adjustments affect gear performance. Based on the results, design guidelines and suggestions are made to improve load distribution and optimize gear characteristics in real-world applications. By expanding the design of helical gears, this study helps to create mechanical systems that are more efficient and reliable.

Keywords: Helical Gears, Load Distribution, Analytical Modeling, Simulation, Mechanical Systems

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1. K. Raghuwanshi et al.Experimental measurement of mesh stiffness by laser displacement sensor technique. Measurement. (2018).
2. Ma et al. An improved analytical method for mesh stiffness calculation of spur gears with tip relief. Mech. Mach. Theory. (2016).
3. Lewicki D G, Ballarini R. Effect of rim thickness on gear crack propagation path. J Mech Des, 1997, 119: 88–95.
4. Chen Z, Shao Y. Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth. Eng Fail Anal, 2011, 18: 2149–2164.
5. Cui L, Huang J, Zhai H, et al. Research on the meshing stiffness and vibration response of fault gears under an angle-changing crack based on the universal equation of gear profile. Mechanism Machine Theor, 2016, 105: 554–567
6. Korka, Z. I.; Miclosina, C. O.; Cojocaru, V. 2014. Some Aspects Regarding the Mathematical Modeling and Dynamic Simulation of a Single Stage Helical Gearbox. Applied Mechanics and Materials. 658, 89-94.
7. Marques, P.M.T.; Martins, R.C.; Seabra, J.H.O. Power loss and load distribution models including frictional effects for spur and helical gears. Mech. Mach. Theory 2016, 96, 1–25. [Google Scholar] [CrossRef].
8. Dowson, D.; Higginson, G.R. Elastohydrodynamic Lubrication: The Fundamentals of Roller and Gear Lubrication; Pergamon Press: Oxford, UK, 1966.
9. Pei, J.; Han, X.; Tao, Y. An improved stiffness model for line contact elastohydrodynamic lubrication and its application in gear pairs. Ind. Lubr. Tribol. 2020, 72, 703–708.
10. Papp D, Yıldız S. alfonso: Matlab package for nonsymmetric conic optimization. Informs J Comput. 2022;34(1):11–9.
11. Slogén, M. (2013). Contact Mechanics in Gears-A Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears.

An analytical modeling and simulation methodology to improving load distribution in helical gear systems is presented in this research study. Fundamental parts of many mechanical systems, helical gears provide the benefits of smooth engagement, lower noise levels, and increased weight bearing capability. However, retaining lifespan and dependability in gear systems requires establishing regular load distribution throughout the gear teeth. This work explores the parameters influencing load distribution and suggests strategies for enhancing the efficiency of helical gear systems using sophisticated computational techniques and analytical methodology. The analytical model predicts contact stresses and load-sharing behavior among the gear teeth by taking into account qualities including gear shape, material properties, operating loads, and contact settings. The analytical model can be confirmed by numerical simulations, which also examine how different design parameters affect load distribution. The findings provide light on how surface roughness, lubrication conditions, helix angle, and tooth shape adjustments affect gear performance. Based on the results, design guidelines and suggestions are made to improve load distribution and optimize gear characteristics in real-world applications. By expanding the design of helical gears, this study helps to create mechanical systems that are more efficient and reliable.

Keywords: Helical Gears, Load Distribution, Analytical Modeling, Simulation, Mechanical Systems

🔒 This is a subscription article

Full text is available to subscribers and institutional members. Please choose an option below to access it.

1. K. Raghuwanshi et al.Experimental measurement of mesh stiffness by laser displacement sensor technique. Measurement. (2018).
2. Ma et al. An improved analytical method for mesh stiffness calculation of spur gears with tip relief. Mech. Mach. Theory. (2016).
3. Lewicki D G, Ballarini R. Effect of rim thickness on gear crack propagation path. J Mech Des, 1997, 119: 88–95.
4. Chen Z, Shao Y. Dynamic simulation of spur gear with tooth root crack propagating along tooth width and crack depth. Eng Fail Anal, 2011, 18: 2149–2164.
5. Cui L, Huang J, Zhai H, et al. Research on the meshing stiffness and vibration response of fault gears under an angle-changing crack based on the universal equation of gear profile. Mechanism Machine Theor, 2016, 105: 554–567
6. Korka, Z. I.; Miclosina, C. O.; Cojocaru, V. 2014. Some Aspects Regarding the Mathematical Modeling and Dynamic Simulation of a Single Stage Helical Gearbox. Applied Mechanics and Materials. 658, 89-94.
7. Marques, P.M.T.; Martins, R.C.; Seabra, J.H.O. Power loss and load distribution models including frictional effects for spur and helical gears. Mech. Mach. Theory 2016, 96, 1–25. [Google Scholar] [CrossRef].
8. Dowson, D.; Higginson, G.R. Elastohydrodynamic Lubrication: The Fundamentals of Roller and Gear Lubrication; Pergamon Press: Oxford, UK, 1966.
9. Pei, J.; Han, X.; Tao, Y. An improved stiffness model for line contact elastohydrodynamic lubrication and its application in gear pairs. Ind. Lubr. Tribol. 2020, 72, 703–708.
10. Papp D, Yıldız S. alfonso: Matlab package for nonsymmetric conic optimization. Informs J Comput. 2022;34(1):11–9.
11. Slogén, M. (2013). Contact Mechanics in Gears-A Computer-Aided Approach for Analyzing Contacts in Spur and Helical Gears.