Computational Model for Analysing the Tooth Deflection of Polymer Gears

Area of Science:

• Mechanical Engineering
• Materials Science
• Computational Mechanics

Background:

• Polymer gears exhibit lower stiffness than metal gears, necessitating specialized analysis for tooth deflection.
• Existing analytical methods may not fully capture the complex behavior of polymer gears under load.

Purpose of the Study:

• To develop and validate a computational model for analyzing tooth deflection in polymer gears.
• To determine the optimal numerical model parameters, specifically the number of teeth to simulate, for accurate polymer gear analysis.
• To compare the model's predictions with empirical data and established guidelines.

Main Methods:

• Development of a computational model incorporating hyperelastic material properties for the polymer pinion (POM) and linear elastic properties for the steel gear.
• Simulation of a non-lubricated, frictional contact between the meshing gear pair.
• Evaluation of the model using a spur gear pair and comparison of results with empirical data based on VDI 2736 guidelines.

Main Results:

• The computational model demonstrated higher accuracy in predicting tooth deflection compared to standard guidelines, attributed to the use of hyperelastic material properties and multi-tooth meshing simulation.
• VDI 2736 calculations showed comparable results but exhibited larger deviations at higher load conditions.
• The proposed computational approach proved more suitable for analyzing polymer gear tooth deflection, particularly under elevated loads.

Conclusions:

• The developed computational model provides a more accurate method for analyzing polymer gear tooth deflection than traditional approaches.
• The inclusion of hyperelastic material behavior and multi-tooth meshing is crucial for precise simulation of polymer gears.
• This model offers enhanced reliability for engineering applications involving polymer gears operating under significant loads.