Measurement uncertainty in surface flatness measurement

TL;DR

This paper reviews factors affecting surface flatness measurement accuracy, redefines the measurement equations, and proposes a systematic approach to quantify measurement uncertainty, aligning with GUM standards.

Contribution

It provides a comprehensive collection of influencing factors, reformulates the measurement equations, and introduces a new equation for flatness determination.

Findings

Collected influencing factors for flatness measurement

Rewritten measurement equations for clarity

Proposed a new flatness determination equation

Abstract

Flatness of a plate is a parameter has been put under consideration for long time. Factors influencing the accuracy of this parameter have been recognized and examined carefully but placed scatterringly. Beside that those reports have not been always in harmonization with Guide for expression of uncertainty measurement (GUM). Furthermore, mathematical equations describing clearly the flatness measurement have not been seen in those reports also. We have collected those influencing factors for systematic reference purpose, re-written the equation describing the profile measurement of the plate topography, and proposed an equation for flatness determination. An illustrative numerical example will be also shown.