Modelling of Five-Axis Machine Tool Metrology Models Using the Matrix Summation Approach
Modelling of Five-Axis Machine Tool Metrology Models Using the Matrix Summation Approach
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DOI：
10.1007/s001700300028
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发表时间：
2003-02
期刊：
影响因子：
--
通讯作者：
Y. Lin;Y. Shen
中科院分区：
文献类型：
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作者：
Y. Lin;Y. Shen
五轴联动加工在自由曲面加工中得到了广泛的应用。使用齐次变换矩阵（HTM）的传统方法依赖于矩阵乘法的大量符号操作。在这项工作中，一种新的方法-矩阵求和法-开发和实施的五轴机床的几何误差建模。这种方法将运动学方程分解为六个分量，每个分量都有明确的物理意义。它大大减少了计算量，并使五轴运动学模型易于管理和理解。
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.