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提出了一种基于数论网格法的三维单工序装配成功率计算方法。首先,基于三维单工序装配偏差模型,考虑销-孔/槽副任意布局下夹具定位偏差对装配偏差的影响,建立销-孔/槽副任意布局的三维单工序装配偏差模型。然后,阐述了数论网格采样的基本原理,运用数论网格法对零件偏差采样,基于所建立的销-孔/槽副任意布局下的三维单工序装配偏差模型,建立三维单工序装配成功率模型。最后,针对三维薄板零件装配实例,采用所建立的装配成功率模型计算其装配成功率,并采用3DCS对所建立的装配成功率模型进行仿真验证,仿真结果与理论模型计算结果相比,装配成功率相对误差为0.21%,表明了该方法的有效性。
A method to calculate the success rate of three-dimensional single-stage assembly based on number-theoretic grid method is proposed. First, based on the three-dimensional single-process assembly deviation model, considering the influence of fixture positioning deviation on assembly deviation under any layout of pin-hole / slot pair, a three-dimensional single-process assembly deviation model with pin-hole / slot pair layout is established. Then, the basic principle of number-theoretic grid sampling is elaborated. The numerical grid method is used to sample the part deviations. Based on the established three-dimensional single-process assembly deviation model under arbitrary layout of pin-hole / slot pairs, the success rate of three- model. Finally, according to the assembly example of three-dimensional thin-plate parts, the successful rate of assembly was calculated by using the established success rate model, and the 3DCS was used to verify the success rate model. The simulation results were compared with the theoretical results The relative error rate is 0.21%, which shows the effectiveness of this method.