对数修形渐开线直齿轮传动的热弹分析

Analysis of the Thermo-elastic for Involute Spur Gear Transmission with Logarithmic Modification

针对对数修形渐开线直齿轮,依据热传导微分方程和热弹性力学基本方程,通过FFT和IFFT编程计算修形前后任意啮合位置的温度场和热弹性场,并探讨了转矩和转速变化对温度场和热弹性场的影响。结果表明,对数修形能消除边缘效应引起的局部高温,降低了边缘处较大的热弹性变形和热弹性应力,从而提高齿轮抗胶合能力、齿廓精度和热疲劳寿命;转速或转矩的提高都会加剧齿轮的温度场和热弹性场,其中不同转矩需要设计不同修形量,以避免边缘效应发生。

Aiming at the involute spur gear with logarithmic modification, according to the heat conduction differential equation and the basic equations of thermo - elasticity, the thermal and thermo - elastic fields of in- volute spur gear at any meshing position are obtained by using the FFT and IFFT programming calculation, the influence of the torque and rotational speed on temperature field and thermal elastic field is discussed. The re- sults show that, the logarithmic modification can reduce the strong thermal at the edges of the gear tooth caused by the edge effect, thus the scuffing resistance, accuracy and thermal fatigue llfe of gears are improved. The ris- ing of either torque or rotational speed can intensify the temperature field and thermo - elastic field of gear, and the modification amount should be designed in terms of torque in order to avoid the edge effect.