Angular velocity and contact force simulation of the spiral bevel gear meshing based on the hertz contact theory
Keywords:
spiral bevel gear, angular velocity, tangential component of contact force, NURBS, hertz contact theory, tooth flank equationAbstract
To obtain the change tendency of thewheel’s angular velocity and tangential component of contact force with time of the pinion under the step input during spiral bevel gear meshing, the tooth flank equation of spiral bevel gear was constructed based on the Non-Uniform Rational B-splines curve. The three-dimensional model of the pinion and the wheel were built based on the tooth flank equation. The calculation equation and relative parameters set for the contact force of spiral bevel gear meshing were done based on the Hertz contact theory. Amating of spiral bevel gearswas taken asan example for dynamics simulation and the simulation results show that the relative error rate of the angular velocity between simulation and theoretical calculation is 0.054%, and that the relative error rate of tangential component of the contact force between simulation and theoretical calculation is 4.82%. These findings provide the theoretical basis for dynamic characteristics optimization of the spiral bevel gears.Downloads
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