有別於以往之研究，本文使用標準齒輪進行模擬與實驗，排除齒輪本身之誤差後，針對機台誤差與齒輪傳動誤差之關聯性進行探討。首先建立單齒腹傳動誤差檢測機之誤差模型，並結合精密機械設計理論與齒輪嚙合原理，透過分析機台誤差對傳動誤差函數之影響，提出機台容許誤差之設計方針，並預估機台誤差所造成之傳動誤差函數。文中以齊次轉換矩陣建立機台之誤差模型，計算主、被動軸之相對位置誤差，同時以轉換矩陣推導漸開線正齒輪組之輪廓函數，以其嚙合條件計算齒輪組之傳動誤差。
模擬之結果證實，在正齒輪組兩軸平行時，機台誤差對傳動誤差之值僅有些微影響，且不會改變傳動誤差函數之特性；當齒輪組兩軸含有平行度誤差時，則可能具有同時加大傳動誤差之值與改變其函數特性之影響。因此，齒輪組於進行傳動誤差量測或設計組裝方式時，應考量使平行度誤差最小化。

Comparing with the previous researches, this study is dedicated to investigate the correlation between machine errors and transmission errors as the form errors of the gears are neglected. Therefore, the error model of a single flank tester is first constructed and a MATLAB based computer software is established by associating methodology used in precision machine design with gear meshing theory. By analyzing the influence of machine errors on transmission errors of the gearset enables to designate allowable tolerances and predicts the function of transmission errors caused by machine errors.

The error model of a single flank tester represented by homogeneous transformation matrix is established to compute the relative position errors between the driving and driven axes of the tester and determine the profile functions of involute spur gearset for calculating transmission errors by gear meshing theory.

The simulation shows that the transmission-error-function is not affected significantly by the machine errors when the two axes are in parallel. However, the effect may increase when the parallelism errors grow. Accordingly, the parallelism errors of the axes should be minimized when the gearset is assembled.

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