降低三點法真圓度測量誤差之研究

Abstract

在工具機上對工件進行真圓度檢測時，感測器所測量到的結果包含主軸旋轉之徑向誤差和被測截面的圓度誤差，利用三點法可以分離這兩個誤差而得到被測工件之真圓度。然而實際使用三點法於真圓度測量中，因安裝上的誤差，使得圓度誤差測量結果失真。因此本文以三點法為基礎，修正三點法之理論，降低感測器未相交於一點時的影響。最後藉由實驗，實際對工件進行測量，驗證修正結果，而實驗結果證明修正後之三點法可以降低安裝時的誤差。

While measuring the roundness of work piece on the machine, the overall result of sensors contain the error of rotation axis and roundness error of work piece. By using the three-point method, one can separate the error of rotation axis from the overall result, and achieve the result of roundness error of work piece. However, the overall results are affected by the errors caused by inaccurate installation of sensors and therefore reduce the measurement accuracy. The object of this thesis is to modify the three-point method such that the errors of measurement caused by sensors installation are minimized. Numerical simulations as well as experiment are performed to validate the methodology. It is shown that the proposed method can minimize the errors of measurement caused by inaccurate installation.