State space modeling of multi-scale variation propagation in machining process using matrix model

Multi-scale variation quality control of mechanical products has become one of research hotspots, but little research constructs variation propagation model under multi-scale error. This paper proposes an extended stream of variation (SoV) model considering geometric error by matrix model representation. New constraint conditions are introduced into the model for Monte Carlo calculation. To verify the accuracy and applicability of this model, a case study simplified from a machining process of automotive engine head is provided. The results indicate that this method has a great engineering value in machining process.