Simulation of XYC Trajectory in Five-Axis Machine Tool and the Jacobian-based Error Estimation

S.H.H. Zargarbashi and J.R.R. Mayer (Canada)

Keywords

Fiveaxis machine tool, Jacobian matrix, Error simulation, Error estimation, Link and motion errors

Abstract

Error estimation methods attract more attention with the increasing demands of five-axis machining. The link and motion errors are an important source of the machine tool deviations. These errors can be identified by the Jacobianm atrix, an interesting tool which is simply constructed from the machine tool topology and joint coordinates. Int his paper, the volumetric errors are simulated using theh omogenous transformation matrix through a circular interpolation of the X and Y axes synchronized with a C axis rotation. The Jacobian matrix is formed and after a singular value decomposition, the redundant and confounded error parameters are removed and consequently the Jacobian matrix is reduced. The simulated volumetric errors are then used to find errorp arameters in the case of a horizontal five-axis machinet ool. The comparison of simulated and estimated error parameters shows the efficiency of using the Jacobian matrix in error identification.

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