Five-axis machining has been used widely in manufacturing freeform surfaces. The traditional approach of using a homogeneous transformation matrix (HTM) relies on heavy symbolic manipulation of the matrix multiplication. In this work, a new approach – the matrix summation approach – is developed and implemented for modelling the geometric errors of five-axis machine tools. This approach breaks down the kinematic equation into six components, each of which has clear physical meaning. It reduces the computations substantially and makes the five-axis kinematic model manageable and understandable.
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ID="A1"Correspondance and offprint requests to: Yin-Lin Shen, Academic Center T727, MAE Department, George Washington University, 801 22nd Street, NW, Washington, DC 20052, USA. E-mail: shen@seas.gwu.edu
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Lin, Y., Shen, Y. Modelling of Five-Axis Machine Tool Metrology Models Using the Matrix Summation Approach . Int J Adv Manuf Technol 21, 243–248 (2003). https://doi.org/10.1007/s001700300028
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DOI: https://doi.org/10.1007/s001700300028