Abstract
Precision modeling of the hydraulic gear pump pressure dynamics depends on the accurate prediction of volumetric displacement in the inter-tooth spaces of the gear. By accurate reconstruction of the gear profile, detailed transient volumetric information can be determined. Therefore, this paper reports a non-contact gear measurement device using two opposing laser triangulation sensors, and the key geometrical models to reconstruct the profile with geometrical error compensation. An optimization-based key parameter calculation method is also proposed to find the unknown orientation of the sensor. Finally, an experimental setup is established, the performance of the device is tested and the geometric model is validated. Initial results showed that the method is able to reconstruct the target tooth profile and compensated results can reduce the geometrical error by up to 98% compared to the uncalibrated ones.
Highlights
The target spur gear is disassembled from an external gear pump with involute gear profile but parameters unknown
Note thethe error bars inin(b) the minimum minimumand and maximum deviations of the measurement over samples based on the combined accuracy of the and data acquisition measurement over 5000 samples based on the combined accuracy of the laser triangulation sensor (LTS) and data acquisition system (DAQ)
Preliminary results showed that the relative rotation matrix from the orientation of the LTS to the reference frame of the gear was found influenced by the installation precision and dimensional tolerance of both the gear shaft and the micro motion platform along the gear’s rotational axis
Summary
Gears are widely used in transmission of mechanical power, but are key mechanical elements found in the hydraulic gear pumps, where the meshing gear and pinon pairs carry the hydraulic oil in the fixed-size inter-tooth space, delivering the pressurized oil. In contrast to traditional models of a gear pump or motor, which are based on the ideal involute or cycloidal gear profiles, the state-of-the-art ones often take the detailed tooth profile into account, resulting in more accurate prediction of volumetric variation or leakage of fluid within the inter-tooth space [2,3,4,5,6]. Traditional gear tooth profile measurement methods can be classified into the contact or noncontact approaches based on whether the measuring device is applying force to the target gear. To implement the proposed gear profile measurement apparatus, two challenges need to be. The gear profile needs to be reconstructed from the sensor data based on the geometrical models in 3D space. Geometricaland errors, including the the mounting of the gear shaft and the LTS sensor, to bethe compensated calibrated. The calibrated profile can reduce the measurement error by up to 98% compared to the uncalibrated calibrated profile can reduce the measurement error by up to 98% compared to the uncalibrated ones
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