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提出一种基于数论网格法(NT-net)的二维多工位装配成功率计算方法。首先分析了数论网格法的偏差,描述了数论网格法产生glp集的原理。然后应用数论网格法对夹具定位偏差进行采样,将其代入二维多工位装配尺寸偏差传递状态空间模型中,计算得到二维多工位装配输出偏差。将计算结果和零件上测点允许偏差进行比较,统计出合格样本数,再将其除以总样本数,计算得到二维多工位装配成功率。最后,以车身地板装配为实例,在构建了车身地板二维三工位装配偏差传递模型基础上,求解其偏差传递矩阵,再运用数论网格法计算其装配成功率,并采用蒙特卡洛模拟法进行了验证和分析,结果表明了该方法的有效性。这为产品二维多工位装配成功率的预测提供了一种新的途径。
A method of calculating the success rate of 2D multi-station assembly based on NT-net is proposed. Firstly, the deviation of number-theoretic grid method is analyzed, and the principle of number-theoretic grid method for generating glp-set is described. Then, the numerical grid method is used to sample the fixture positioning deviation, which is substituted into the two-dimensional multi-station assembly dimensional deviation transfer state space model to calculate the output deviation of the two-dimensional multi-station assembly. The calculated results and parts on the measured point allowable deviation are compared, the number of qualified samples, and then divided by the total number of samples, calculate the success rate of two-dimensional multi-station assembly. Finally, taking the body floor assembly as an example, based on building a two-dimensional three-station assembly deviation transfer model, the deviation transfer matrix is solved, and then the number success rate is calculated by using the number theory grid method. The Monte Carlo simulation Method was verified and analyzed, the results show the effectiveness of the method. This provides a new way to predict the success rate of product 2D multi-station assembly.