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Uncertainty Analysis of CNC Machine Tools Based on Monte Carlo Method

机译：基于蒙特卡罗法的CNC机床不确定性分析

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The uncertainty of mechanical system performance is strongly influenced by the properties of system components such as mass, stiffness-damping coefficient, and friction coefficient. Based on computational simulations, the system performance under uncertainty conditions can be estimated. However, the nonlinear dynamic behavior of friction is difficult to simulate in numerical simulations, this research is therefore employed a smooth stick-slip friction force model instead of the Coulomb friction force model. Monte Carlo simulation (MCS) combined with multibody dynamic (MBD) simulation is proposed to evaluate the uncertainty characteristics of the system components and stick-slip friction force between two contacting bodies. Numerical simulations applied the proposed method were performed to consider the effects of uncertainty of friction coefficient on the machining accuracy of a three axes CNC (Computer Numerical Control) machine tool.
机译：机械系统性能的不确定度受到质量，刚度减阻系数和摩擦系数的系统组分的性能的强烈影响。 基于计算模拟，可以估计在不确定条件下的系统性能。 然而，在数值模拟中难以模拟摩擦的非线性动态行为，因此采用平滑的粘滑摩擦力模型而不是库仑摩擦力模型。 建议蒙特卡罗模拟（MCS）与多体动态（MBD）模拟相结合，以评估两个接触体之间的系统部件和粘滑摩擦力的不确定性特性。 应用了数值模拟所提出的方法，以考虑摩擦系数不确定度对三轴CNC（计算机数控）机床的加工精度的影响。

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