Problems in gear meshing excitation modeling

There are some problems in gear meshing excitation modeling

① The time-varying meshing stiffness and static transmission error are scalars varying with time (or rotation angle), so it is impossible to calculate the eccentric load on the tooth surface caused by the inclination of the gear axis and the resulting restoring torque to resist the inclination of the gear axis. Therefore, when the deflection vibration occurs due to the bending of the gear shaft, the accuracy of the meshing excitation model established by the time-varying meshing stiffness and static transmission error is low .

② The static transfer error is the displacement excitation obtained under the quasi-static condition. When the tooth surface of the gear pair is separated due to resonance, the actual displacement excitation is different from that under the quasi-static condition, so the meshing excitation constructed by the static transfer error is limited to the non resonance condition.

③ The “small deformation hypothesis” is adopted in the gear meshing excitation models established by slicing method: 1) assuming that the deformation of the support system is very small, ignoring the influence of the translation of the gear centroid on the meshing angle and theoretical meshing interval of each slice gear pair; 2) assuming that the tooth deformation is very small, ignoring the difference between the actual meshing interval and the theoretical meshing interval of each slice gear pair. Therefore, the accuracy of gear dynamic model established by slicing method decreases with the increase of support system and tooth deformation.

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