Method for Measuring Spur Gear Mesh Damping and Its Damping Components

Abstract

The invention discloses a method for measuring meshing damping of a straight gear and damping composition thereof. The method comprises the following steps: 1, measuring and processing a signal through a test system in dry friction and lubrication states to obtain driving wheel angular displacements theta pd (t) and theta pt (t), driven wheel angular displacements theta gd (t) and theta gt (t), input torque Tp and output torque Tg in a meshing period; solving transfer errors in the two states respectively according to the following formula: delta i (t)=Rp theta pi (t)-Rg theta gi (t), i=t, wherein in the formula, subscripts d and t represent the dry friction and lubrication states respectively; Rp and Rg are base radiuses of a driving wheel and a driven wheel respectively; 2, establishing a gear transmission torsional dynamic model: Iedeltai(t)+Cideltai(t)+Kmtheltai(t)=F(t), i=d,t, wherein Ie=IpIg / (IgRp<2>+IpRg<2>),and ka is comprehensive meshing rigidity of a meshing period; F(t)=(IgRpTp+IpRgTd) / (IgRp<2>+IpRg<2>), Ip and Ig are inertia moments of the driving wheel and the driven wheel respectively; 3, solving hysteretic damping Cd of a gear material and meshing damping Ct in the lubrication state according to the following formula: Ci=F(t)-Kmthetai(t)-Iethetai(t) / thetai(t), i=d,t; solving lubricating damping Cr=Ct-Cd for meshing of the gear.

Description

technical field [0001] The invention relates to the technical field of mechanical measurement, in particular to a method for measuring meshing damping of spur gears and its damping components. Background technique [0002] Gear is a commonly used mechanism for transmitting motion and power, and plays an important role in mechanical equipment. With the continuous enlargement and complexity of modern machinery and equipment, the vibration and noise problems generated during gear transmission are becoming more and more prominent. [0003] The research shows that the meshing stiffness and meshing damping of the gear transmission system are important factors affecting the vibration and noise of the gear transmission. When the gear is in transmission, there is relative sliding between the meshing tooth surfaces, causing friction and wear, increasing power consumption and reducing transmission efficiency. Therefore, gear transmission usually works in a lubricated state. The lubri...

AI Technical Summary

Problems solved by technology

Since the establishment of the theoretical model ignores the influence of many practical factors, there is inevitably a large error between the established theoretical model of gear meshing and the actual model, which limits the accuracy of the theoretical model to solve the gear meshing damping, which further affects the accuracy of the gear meshing. Prediction of gear dynamics and assessment of vibration and noise levels

In addition, the theoretical model does not take into account the meshing damping of the gear, including the hysteresis damping of the gear material and the lubrication damping of the tooth surface, and calculates it separately. There is a lack of quantitative understanding of the two major components of the meshing damping, which further affects the reasonableness of the gear meshing damping. Distribution, and optimal design of gear vibration and noise reduction

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