Abstract
In this study, static and dynamic analyses of a spur gear pair with linear tip relief and longitudinal crowning were performed. Dynamic experiments were conducted to compare and verify the dynamic analysis results. On the basis of the theory of gearing, the mathematical model of a modified spur gear pair was established. In addition, a finite element mesh generation program was developed according to the mathematical model. Finite element analysis was applied to calculate the contact stress, contact patterns, and mesh stiffness of the gear pair. Moreover, a dynamic analysis was performed to predict the dynamic transmission error (DTE) at various speeds and loads. Dynamic experiments were performed on the spur gear pair by using a gear dynamic tester. Accelerometers were mounted on the gear pair to record the vibrations during gear meshing. The experimental DTE was calculated and compared with the simulated DTE to verify the prediction of the vibration performance of the spur gear pair under different rotational conditions.
Highlights
Gear pairs are widely used in transmission systems
In this study, a mesh generation program was developed based on the derived mathematical model of modified spur gears as well as the contact points during gear meshing from the tooth contact analysis (TCA) results
For the Loaded tooth contact analysis (LTCA), a finite element mesh generation program was developed based on the contact points from the TCA results
Summary
Gear pairs are widely used in transmission systems. The load capacity and operating life of the gear meshing in transmission systems are crucial considerations, and gear vibration during high-speed operations is a vital concern. Kahraman et al [23] built a dynamic test machine and studied the influence of different tip relief modification parameters on the dynamic characteristics of a gear system They performed dynamic experiments at various speeds and loads and plotted the RMS of DTE curves to investigate the influence of tip relief modifications on vibration at different speeds and loads. In this study, a mesh generation program was developed based on the derived mathematical model of modified spur gears as well as the contact points during gear meshing from the TCA results. The present study aimed to develop an analysis method for predicting the static and dynamic performance of a spur gear pair with tip relief and longitudinal crowning modification.
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