基于灰色数学方程的尺寸链求解方法

对于机械零件误差的不确定性，常用随机不确定性理论来描述。作者分析了误差和公差的不确定性，发现它们可用灰色不确定性描述，并应用区间灰数数学方程来作了尺寸链的求解。结果发现，所得到的结果与尺寸链的极值求解方法相同。这也证明了应用灰色不确定性来描述误差和公差是正确的。

Solving method of dimension chain based on gray mathematics equation

For uncertainty of error in mechanical parts, it is used to describe it by random uncertain theory. Authors analyzed uncertainties of error and tolerance, found that it is feasible to describe it by gray uncertainty theory, and solved dimension chain through gray mathematics equation. The result shows that the solution is the same as that of traditional extremum method. Therefore, it also proves that it is correct to apply gray uncertainty to describe error and tolerance.