Optimal budgeting of quasistatic machine tool errors

This paper discusses a model developed for quasistatic static errors and its use as the basis for an optimal error budgeting scheme. Next, the following allocation problem is addressed: Given: (i) a parameter vector whose elements are drawn from normal distributions with unspecified standard deviations and zero means (ii) a set of constraining half spaces defined over parameters space. Specify standard deviations for the distributions so that some function (e.g., the total cost) is minimized. The error model and error allocation approach are applied to optimal error budgeting. This approach developed is implemented in software and an example of budgeting the geometric errors for a two axis machine is also given.