Abstract
This paper presents a systematic methodology focused on herringbone gear microgeometry modifications toward vibration reduction. The dynamic model considering the unique characteristics of aviation herringbone gear is developed to study the vibration behavior. The optimal ease-off shape can be defined as the outcome of a multi-objective optimization process, the objective functions are loaded transmission error, meshing impact excitation and root mean square (RMS) of vibration acceleration. With special attention given to computational efficiency, a novel fitness predicted genetic algorithm is developed. An application to herringbone gear are presented, the results show the proposed method can obtain optimal modifications that significantly improve the gear performance over a wide range of operating conditions. Furthermore, the reduction of the vibration also leads to a reduction of bending stresses. Finally, a test on herringbone gear is executed under various combinations of torque and speed to demonstrate the accuracy of the proposed model.
Highlights
Herringbone gear is a type of gear that is a side to side combination of two helical gears of opposite hands, so the side-thrust of one half is balanced by that of the other half
A global optimization method to predict the proper amount of modification of herringbone gear for vibration reduction is proposed in this paper
Tooth contact analysis(TCA) and load tooth contact analysis (LTCA) are introduced to determine mesh stiffness and meshing impact of dynamic model, so that the nonlinearity of mesh stiffness with contact force is well considered, and the effect of tooth shape deviation on mesh stiffness can be taken into account, which offers firmly foundation for the dynamic analysis
Summary
Herringbone gear is a type of gear that is a side to side combination of two helical gears of opposite hands, so the side-thrust of one half is balanced by that of the other half. Many studies have focused on the selection of optimal tooth modifications design to minimize transmission error for reducing gear vibration [3,4,5,6]. M. Faggioni et al [11] developed a dynamic optimization method to suggest the best tooth profile modification (TPM) of spur gears versus vibration reduction based on the Random plus Simplex approach. Most of studies focuses on TPM of spur gears at a single work condition, only one performance is selected as the optimization objective and the effect of misalignments is often neglected in the dynamic model of spur gear pair. Few works have been done on the development of a global multi-objective modification optimization approaches to determine TSM of herringbone gears, and with special attention given to computational efficiency. The test results obtained from the experiment on herringbone gear can further confirm the effectiveness of the proposed method
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