Hybrid dynamic model of spur gears under combined misalignments

This research proposes a hybrid model for predicting the vibration behavior of a single-stage spur gear transmission system under various misalignment conditions. The model combines finite element analysis (FEA) to estimate the forces transmitted by the gears to the shaft, with an analytical model to predict the acceleration spectra at the bearing base. The hybrid approach balances accuracy, computational efficiency, and development ease, making it suitable for design-stage analysis. The model evaluates the influence of combined misalignments (axial, radial, and yaw) on vibration levels, which is more realistic than individual misalignments. Results from the hybrid model show a strong correlation (0.98) with experimental data, with discrepancies not exceeding 15%. The study highlights that radial and angular misalignments significantly influence vibration spectra, while axial misalignment has minimal impact. The proposed model offers a computationally efficient alternative to fully dynamic simulations, providing valuable insights for gear system design and misalignment diagnosis.