蒙地卡羅模擬應用在裝配不良率導向的公差分析

Monte Carlo Simulation in the Nonconformance-Based Tolerance Analysis of a Mechanical Assembly

劉大銘(Ta-Ming Liu) ； 鄭蕉杏(Jiao-Xing Zheng)

《科學與工程技術期刊》 2卷4期 (2006/12) Pp. 67-82

https://doi.org/10.7117/JSET.200612.0067

摘要

幾何公差與統計公差分析已廣受人們所認同，發展統計方法於幾何公差分析之應用在工程上具有相當的重要性。蒙地卡羅模擬法於公差分析的使用方法為：模擬已建立標準的裝配，獲得組件的公差及機能性。此方法為基於亂數產生器的使用，模擬組件或零件製造上變異之影響，在非線性關係函數中，蒙地卡羅模擬方法特別顯得有助益。分析實例中包括兩個例子：簡單的二件裝配及二孔二銷裝配，應用最大材料條件及忽略特徵尺寸材料條件於幾何公差分析過程，以MIL STD 105E為最佳公差值決定之輔助公具，結論將對此兩種不同材料條件下所得結果作一比較，並將過程方法及結果應用於雙孔雙銷公差配置自動化系統之建構。

關鍵字

公差分析 ； 蒙地卡羅模擬 ； 統計方法

並列摘要

Since geometric tolerances and statistical tolerancing are both becoming widely accepted, the ability to statistically analyze geometric tolerances has become important. Being especially good for nonlinear relationship functions, the Monte Carlo Simulation method stems from the manufacturing procedure wherein a prototype of a given assembly is built in order to test its tolerances and functionality. This method is based on the use of a random-number generator to simulate the effects of manufacturing variations on assemblies or parts. Two examples, including a two-part assembly and a two-hole and two-pin (THTP) assembly, are analyzed for tolerance. A comparison of the analytical results for the worst case, RSS (root sum square), and this statistical approach are discussed. The approach and results are applied to a THTP tolerance allocation.

並列關鍵字

tolerance analysis ； Monte Carlo simulation ； statistical