滾珠螺桿進給系統之發熱量模擬研究;Simulation study on the heat generation of a ball screw drive system

[[abstract]]為了改善滾珠螺桿進給系統的加工精度，在本研究中建立一個數學模型來模擬滾珠螺桿進給系統的溫度分布和熱變位。首先利用雷射干涉儀來取得滾珠螺桿進給系統在各種工況條件下的定位精度，然後校準熱模型中的熱變形量直到與實驗結果相互吻合，再通過複雜的工況條件進行驗證。在此熱模型中也探討各項係數及操作條件下對於模擬結果的影響，包含環境溫度、熱對流係數、潤滑油黏溫關係式、螺帽速度及加速度係數等。而模擬結果顯示滾珠螺桿進給系統之發熱量在螺帽速度10 mpm下大約為700 W/m2，在螺帽速度5 mpm下大約為400 W/m2，單一工況之模擬結果誤差為4 μm，而在複雜工況條件下的誤差為7 μm。 In order to improve the machining accuracy of a ball screw drive system, in this study a mathematical model is developed to simulate the temperature distribution and thermal displacement of the ball screw drive system. Firstly, the position accuracy of a ball screw drive system is obtained using a laser interferometer at various working conditions. Then simulated thermal deformations are calibrated to match experimental results. Then the model is verified by complex working conditions.The effects of various coefficient and operating conditions are also investigated in this model, including ambient temperature, heat convection coefficient, lubricant viscosity relationship, nut speed and acceleration coefficients. The result show that the heat generation in the ball screw drive system is around 700 W/m2 at the nut speed of 10 mpm, whereas 400 W/m2 at 5 mpm. The position accuracy predicted by this model is 4 μm in simple working conditions, whereas 7 μm in complex working conditions