Monographie sur le tol\'erancement modal

TL;DR

This paper introduces a shape language based on modal parameters for analyzing and tolerancing geometric surface variations, facilitating both simple and expert use in metrology software.

Contribution

It proposes a new modal-based shape language with properties of exhaustiveness and a metric, enhancing surface quality analysis and tolerancing.

Findings

Defines a modal shape language for surface analysis

Establishes properties of exhaustiveness and metric for the basis

Allows use of natural and technological mode shapes

Abstract

In order to analyze the geometric quality of any surface we have defined a shape language that can be used in tolerancing and metrology softwares. Modal parameters defines a shape langage allowing to describe geometric variations associating undulation, form, position, orientation and dimensions. It defines a geometric basis, easy to use by a simple user or deeply by an expert. The principal properties of this basis are the exhaustiveness and the metric of the parameters. We can use either natural mode shapes that can be modified by technological mode shapes.