Know the distribution of static pressure as an analysis of gear contact and extrusion
Constraint and Load Handling: To simplify the analysis, a single pair of meshing teeth from the two contacting gears is selected as the actual model for gear contact simulation. The displacement of the boundary nodes on the driven gear is fixed, effectively applying a rigid constraint to the root surface of the driven gear tooth. For the driving gear, since it needs to transmit torque to the driven gear, its rigid body rotational degrees of freedom are preserved. A linear distributed surface stress is applied to the driving gear, forming an effective force constraint on the gear teeth. The external load is simulated by converting the driving torque into equal nodal forces acting on specific nodes of the driving gear in the direction of motion. Based on this modeling approach, the author developed a three-dimensional contact stress boundary element analysis program specifically for spur gears.
Using this program, a graded boundary element mesh can be automatically generated by inputting key geometric parameters such as the number of teeth on both the driving and driven gears, the module, pressure angle, tooth width, material elastic modulus, and Poisson's ratio. This method proves to be a feasible and efficient way to analyze the three-dimensional contact problem of spur gears. The results demonstrate that the boundary element method is not only simple but also accurate and reliable for gear stress analysis. The author conducted a detailed study on the contact area stress distribution between meshing gears, which provides valuable insights into understanding gear contact stresses and identifying the real causes of surface failure. As an essential part of gear analysis, studying the static pressure distribution and load distribution is both beneficial and necessary for improving gear performance and reliability.
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