Dynamic analysis of a helical gear reduction by experimental and numerical methods
2020
Presented in this study is investigation of dynamic behavior of a helical gear reduction by experimental and numerical methods. A closed-loop test rig is designed
to measure vibrations of the example system, and the basic principle as well as relevant signal processing method is introduced. A hybrid user-defined element model
is established to predict relative vibration acceleration at the gear mesh in a direction normal to contact surfaces. The other two numerical models are also constructed by lumped mass method and contact FEM to compare with the previous
model in terms of dynamic responses of the system. First, the experiment data demonstrate that the loaded transmission error calculated by LTCA method is generally
acceptable and that the assumption ignoring the tooth backlash is valid under the
conditions of large loads. Second, under the common operating conditions, the system vibrations obtained by the experimental and numerical methods primarily occur at the first fourth-order meshing frequencies and that the maximum vibration
amplitude, for each method, appears on the fourth-order meshing frequency. Moreover, root-mean-square (RMS) value of the acceleration increases with the increasing loads. Finally, according to the comparison of the simulation results, the variation
tendencies of the RMS value along with input rotational speed agree well and that the
frequencies where the resonances occur keep coincident generally. With summaries
of merit and demerit, application of each numerical method is suggested for dynamic
analysis of cylindrical gear system, which aids designers for desirable dynamic behavior of the system and better solutions to engineering problems. © 2020 Institute of
Noise Control Engineering
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