本研究使用赫茲接觸理論與運動學建立計算螺帽內部各元件之接觸理論計算模型，並以準靜態與動態分析兩套數值分析流程對單螺帽滾珠螺桿進行分析。準靜態分析能夠觀察力平衡下所有滾珠與螺桿、螺帽之間的接觸力、接觸角、接觸變形量與接觸應力，並藉由最大接觸應力對滾珠螺桿進行壽命的評估。動態分析考慮滾珠之循環與滾珠撞擊迴流道之情形，分析滾珠螺桿運轉時，各元件之振動情形，並主要以螺帽的振動為分析目標。動態分析結果之振動型態與球通頻率和實驗之結果十分接近。本研究改變滾珠螺桿之操作條件與結構參數，對滾珠螺桿進行接觸與振動的探討以及壽命的評估，最後研究過大滾珠預壓方式與滾珠的幾何誤差對滾珠螺桿造成之影響。

In this study, quasi-static and dynamic analysis models are presented using Hertz contact theory and kinematics. Quasi-static analysis can determine the contact load, contact angle, contact deformation and contact stress of all balls under different conditions. Considering the ball circulation and the collision between ball and return tube, dynamic analysis can simulate the movement of the ball and the vibration of the nut when the ball screw is operating. The vibration pattern and the ball pass frequency obtained from dynamic analysis are very close to and the experimental results. By using these two analysis methods, the effects of operating conditions and structural parameters on the ball screw performance can be evaluated. Finally, the influence of the oversized ball preload and ball dimension error on the ball screw performance are investigated.

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