This paper investigates the effect of process parameters on the shape of three-dimensional (3D) curves. Compared with recent literature on profile modeling (generally used for process monitoring applications), the main novelty consists of dealing with curves that do not lie in a plane but in space. In particular, a generalization of principal component analysis (PCA), based on the appropriate use of complex rather than real numbers (complex PCA), is used as a modeling tool. Scores of the significant components obtained via complex PCA are then used as data input for the analysis of variance to investigate the effect of process parameters on the machined shape. The first advantage of complex PCA is its insensitivity to rotation about the origin of the complex plane, a property that produces a significant simplification of the preliminary step of profile registration. Second, complex PCA outperforms alternative PCA-based approaches in terms of the power of detecting the effect of controllable factors on the profile shape. The proposed procedure is particularly useful when the quality characteristic of interest is related to geometric tolerances, as shown in a real case study of the axial straightness of lathe-turned items.

Analyzing the Effect of Process Parameters on the Shape of 3D Profiles

COLOSIMO, BIANCA MARIA;PACELLA, MASSIMO
2011-01-01

Abstract

This paper investigates the effect of process parameters on the shape of three-dimensional (3D) curves. Compared with recent literature on profile modeling (generally used for process monitoring applications), the main novelty consists of dealing with curves that do not lie in a plane but in space. In particular, a generalization of principal component analysis (PCA), based on the appropriate use of complex rather than real numbers (complex PCA), is used as a modeling tool. Scores of the significant components obtained via complex PCA are then used as data input for the analysis of variance to investigate the effect of process parameters on the machined shape. The first advantage of complex PCA is its insensitivity to rotation about the origin of the complex plane, a property that produces a significant simplification of the preliminary step of profile registration. Second, complex PCA outperforms alternative PCA-based approaches in terms of the power of detecting the effect of controllable factors on the profile shape. The proposed procedure is particularly useful when the quality characteristic of interest is related to geometric tolerances, as shown in a real case study of the axial straightness of lathe-turned items.
2011
File in questo prodotto:
File Dimensione Formato  
Colosimo Pacella 2011 JQT Analyzing-the-effect-of-process-parameters-on-the-shape-of-3d-profiles.pdf

Accesso riservato

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 1.19 MB
Formato Adobe PDF
1.19 MB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/607942
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 18
  • ???jsp.display-item.citation.isi??? 14
social impact