Caract\'erisation des d\'efauts d'une surface sph\'erique par d\'ecomposition modale

TL;DR

This paper introduces a modal decomposition method for characterizing surface defects on spherical objects, enabling detailed error analysis and optimized measurement strategies across various error types.

Contribution

A generic modal decomposition approach adaptable to any geometry, allowing detailed categorization and analysis of surface errors including position, orientation, form, waviness, and roughness.

Findings

Decomposition of errors into sorted modal components.

Method adapts to any geometry for error analysis.

Optimization of measurement strategies based on error complexity.

Abstract

The [ISO 1101] standard specifies the form errors with geometrical tolerances using the zone concept.To complete this concept, we present a generic method which adapts to any geometry and allows to describe any kind of errors. Thus,we can dissociate the part errors according to reference categories: position, orientation,form, waviness and roughnesses. Starting from a cloud of poinds representing the error measurement, the "modal" method decompose, like Fourier series,this error in a sum of sorted errors according to the ircomplexity degree (a number of "wavinesses"). In addition, we propose to show, on a simple example, that according to error complexity to be characterized, an interpolation by the modal method allows to optimize the measuring strategy.