Disertación de Maestría
DOI
https://doi.org/10.11606/D.18.1999.tde-18092015-161256
Documento
Autor
Nombre completo
Rosenda Valdés Arencibia
Dirección Electrónica
Área de Conocimiento
Fecha de Defensa
Publicación
São Carlos, 1999
Director
Tribunal
Di Giacomo, Benedito (Presidente)
Mucheroni, Mario Francisco
Título en portugués
Equacionamento das componentes do erro volumétrico em máquinas de medir a três coordenadas
Palabras clave en portugués
Calibração
Função de transferência
Máquina de medir a três coordenadas (MM3C)
Resumen en portugués
Título en inglés
Equationing of components of volumetric error in coordinate measuring machines
Palabras clave en inglés
Calibration
Three coordinates measuring machines (CMM)
Transfer function
Resumen en inglés
The accuracy and the repeatability of measurements of Three Coordinates Measuring Machines (CMM) are affected by several errors. Among them, geometrical errors are the most influents in the most experimental cases. The result of geometric errors combination in each of the preferentials directions is denominated of volumetric error components. Thus, its possible to know the existent relationship between coordinates of measured points and volumetric error components. Several methods have been proposed to model the behavior of the volumetric error in CMM as a function of the X, Y and Z coordinates. However, sofar from experimental measurements of the volumetric error has bem proposed mathematical model for the descriptions and characterizations of errors was obtained. In this work is presented a general methodology to obtain a mathematical equation and prediction of them components of the volumetric errors, using multiple regression. The methodology was applied at a of "Moving Bridge" CMM type. Were obtained three regression equations, one for each component of the error, starting from data collected by direct calibration, specifically by the divided volume method. The model was evaluated statistically. The simulated results were evaluated, discussed and compared with the results obtained through the ball bar calibration, showing an excellent capacity of the model in the prediction of the volumetric error of the machine. Besides was made the compensation of the volumetric error in two diagonals of the working volume of the appraised machine using the proposed model, in this case the error was minimized sensibly.

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Fecha de Publicación
2015-09-18