基于MonteCarlo理论的柔性坐标测量机测量空间分析

Measuring Space Analysis of Flexible Coordinate Measuring Machine Based on Monte Carlo Theory

对柔性坐标测量机的测量空间进行了定义，建立了测量模型，采用蒙特卡罗（MonteCarlo）理论生成了6个关节变量的伪随机数，并利用坐标测量机的测量模型进行了仿真。仿真结果表明，该测量空间的形状为一完整的球体，没有“空腔”，证明了柔性坐标测量机几何结构尺寸的设计符合要求，并有助于进一步研究该测量机空间误差分布规律。

The measuring space of the Flexible Coordinate Measuring Machine （FCMM） was defined, and the measurement model was founded. Pseudo random numbers of six joint variables were created by Monte Carlo theory, and the measuring space was simulated by the FCMM＇ measurement model. The simulations show that the shape of the measuring space is an intact and no cavity sphere. The results validate the FCMM＇ geometry structural design accords with expectation and help to study the spatial errors distribution further.