Study Of Load Distribution Of Double Module Gear Pairs With Meshing Beyond Pitch Point

For the gear drive with meshing beyond pitch point, its actual line of action is located in one side of the pitch point, gears must have large modification coefficient to satisfy the meshing beyond pitch point, but due to the modification coefficient is constraint by contact ratio and addendum thickness, thus constrain the range of gear pairs drive with meshing beyond pitch point, so introduce the concept of double module gear pairs. Choosing the addendum coefficient, pressure Angle and modification coefficient as the study parameters to the analyze the effect of double module gear pairs with meshing beyond pitch point, and obtained the feasible region under different meshing conditionsThe stiffness at pitch point is regarded as the largest stiffness of single tooth meshing in national standard, but double modules gear pairs with meshing beyond pitch point does not pass pitch point and there are two different pressure angles, so the flexibility formula in national standard is not suitable for double modules gear pairs with meshing beyond pitch point. The stiffness of gear pears was calculated in the way that the tooth is considered as non-uniform cantilever beam model by taking number of teeth, the modification coefficients and pressure angles as sample space. Then flexibility was calculated according to this stiffness and flexibility equation was obtained by using quaternary linear regression. Fitting result was acquired well by the way of residual analysis. The formula of comprehensive meshing stiffness is also derived by the principle of gear meshing; The static model of double module gear pairs with meshing beyond pitch point was established and analyzed in ANSYS in order to discuss the deformation of the gear pairs along the meshing line to validate the accuracy of sample space and flexibility equation.According to the definition of load distribution and the principle of gear meshing to concluded load distribution among gear teeth and get the load distribution curve of gear whose meshing beyond pitch point, also compared the differents with standard gear pairs. Analysis the changing of tooth top load with meshing beyond pitch point. Design tooth root bending stress test scheme for double module gear pairs with meshing beyond pitch point, measure tooth root bending stress, Verify the calculation formula. Calculation the load distribution among gear teeth, verify the accuracy of theoretical calculation.