Analytical algorithm for time-varying meshing stiffness of modified herringbone gear pair

Abstract

This paper jointly uses the slicing method and the potential energy method to propose an analytical algorithm that considers the meshing stiffness of the modified herringbone gear pair and its axial force. The calculation results are compared with the finite element and ISO calculation results to verify the accuracy of the analytical algorithm. The algorithm is used to analyze the influence of modification on meshing stiffness of the herringbone gear pair. The calculation results show that the modification length, axial modification and the meshing stiffness of the single pair of herringbone gears and the time-varying meshing stiffness of the herringbone gear pair decrease with the increase of tooth profile modification. The mean value of time-varying meshing stiffness decreases with the increase of tooth profile modification. It decreases first and then tends to be stable with the increase of tooth profile modification length and axial modification. The variance of time-varying meshing stiffness increases first and then decreases with the increase of tooth profile modification of the pinion. It decreases with the increase of tooth profile modification of the herringbone gear, increases first and then decreases and then tends to be stable with the increase of tooth profile modification length. The variance decreases with the increase of axial modification of the pinion. It decreases first and then increases and tends to be stable with the increase of axial modification of the herringbone gear.

Keywords

• 人字齿轮
• 啮合刚度
• 切片法
• 势能法
• 修形