An analytical model for repositioning of 6 D.O.F fixturing system

Abstract

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Simplified stiffness model for spherical rough contacts

“…For the application of the proposed model, the case study is taken from Ref. 23. All the input data including the orientation of the baseplate, positions and points of contacts of the locators, magnitude and point of action of clamps and machining force are taken as in Ref.…”

“…All the input data including the orientation of the baseplate, positions and points of contacts of the locators, magnitude and point of action of clamps and machining force are taken as in Ref. 23. The locators and baseplate are chosen to be made of steels having the elastic modulus to be 200 GPa and H mic to be 20 GPa.…”

“…This helps the authors to calculate the total deformation 1 Effect of locator deformation on final position of workpiece of all the locators and, as a result, overall displacement of the workpiece on the supporting locators. 23 The solution also helps to limit the minimum and maximum roughness of contacting surfaces to keep the contact stiffness and deformation within acceptable limit. This proposed analytical solution is an extension of the solution obtained in Ref.…”

“…22 and a step forward to the solution proposed in Ref. 23.This article is composed as follows: the section on 'Model of Bahrami' briefly explains the solution of the spherical rough contacts as proposed in Ref. 22; the section on 'Proposed model' offers a simplified approximation for the beta function specific for the case of rough workpiece-locator contact (Fig.…”

“…The work of Butt et al 23 is divided in two parts: a kinematic model which helps to compensate the positioning error of the workpiece on machining fixture by the axial advancements of six supporting locators, and an analytical mechanical model which calculates the positioning error of the workpiece due to the deformation of elastic elements of the fixture. While the workpiece is under load, there will also be deformation at the contact of each of six locators (Fig.…”