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A calculation method of thermal deformation for double helical gear

机译：双螺旋齿轮热变形的计算方法

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摘要

Thermal deformation caused by gear transmission is an important factor causing gear impact, vibration and partial load. Gear modification can effectively improve the effects caused by thermal deformation. The calculation of thermal deformation is the first problem to be solved before gear modification. This paper takes double helical gear as the research object and a calculation method of thermal deformation is proposed. Firstly, temperature of instantaneous meshing points on the tooth surface are measured and these discrete temperature values are fitted by the linear interpolation. Calculation formula of temperature distribution along gear radial direction is introduced. Combining both, tooth surface temperature field is obtained. Secondly, equation of tooth surface for double helical gear before and after thermal deformation is derived according to the tooth surface temperature field. Finally, an example is given. Compared with the given modification of thermal deformation, the calculated thermal deformation is almost equal to theoretical value. On this basis, the thermal deformation of double helical gear considering the installation error and machining error is calculated, which provides a theoretical basis for thermal deformation modification of double helical gear.
机译：齿轮传动引起的热变形是引起齿轮冲击，振动和部分负荷的重要因素。齿轮改性可以有效地改善热变形引起的效果。热变形的计算是在齿轮改性之前要解决的第一个问题。本文采用双斜齿轮作为研究对象，提出了热变形的计算方法。首先，测量齿表面上的瞬时啮合点的温度，并且这些离散温度值被线性插值装配。介绍了沿齿轮径向的温度分布的计算公式。结合两者，获得牙齿表面温度场。其次，根据齿表面温度场得出热变形前后双螺旋齿轮的齿面的等式。最后，给出了一个例子。与给定的热变形改性相比，计算出的热变形几乎等于理论值。在此基础上，计算考虑安装误差和加工误差的双螺旋齿轮的热变形，为双螺旋齿轮的热变形改性提供了理论依据。

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