Fuzzy-arithmetical modeling of processes with uncertain prarameters

该分项目的目标仍然是利用元模型开发稳健的流程建模，以改进和有效地预测流程波动对功能关键措施的影响。对于第二阶段，重点将放在元模型和流程模拟之间的联系上。模拟真实过程的另一种方法需要更详细的模型，因此需要更高的计算时间。这使得对元模型进行足够的模拟评估变得更加困难。因此，重要的是优化模拟，使输入参数和结果变量之间的关系可以尽可能地使用元模型来映射。由于产出和投入变量都起着决定性作用，它们应与各自的技术方案相协调。从制造的角度来看，将材料模型或接触模型等模型假设作为模拟的输入变量，而将强度和力分布等结果变量作为结果变量是很有趣的。工艺设置，如温度或压力以及零部件的几何形状，对于公差分配更为重要，因为这些变量是可以容忍的。然而，这些利益冲突总是相互关联的，并由仿真来表示。因此，研究这些输入输出变量或考虑它们的不确定性并利用模糊算法对它们进行优化是面向工艺的公差管理的重要组成部分，以优化工艺模拟和公差模拟之间的接口。二期工程的新目标是考虑零件公差过程中运行过程中的磨损行为。对于TP来说，新的目标是创造一个这种情况的虚拟水平。对运行过程中的磨损行为进行建模会在建模中产生额外的时间成分。除了测量不确定度和表面结构外，元模型中还必须考虑运行参数和随时间的磨损。磨损的焦点无疑是齿轮副。阿查德模型将被用来进行虚拟预测。实际磨损试验将与计算结果进行比较，并考虑测量不确定度、表面形貌和运行参数进行表征。从第一阶段开始，将在演示器上示范分析组件的相互作用、它们的预测和它们的影响。

The goal of the subproject remains the development of a robust process modeling using metamodels for improved and efficient prediction of the effects of process fluctuations on function-critical measures. For the second phase the focus will be on the connection between metamodel and process simulation. A further approach of the simulations to real processes requires more detailed models and thus higher computing times. This makes it more difficult to evaluate enough simulations for the metamodel. It is therefore important to optimize simulations in such a way that the relationship between the input parameters and the result variables can be mapped as well as possible using the metamodel. Since both output and input variables play a decisive role, they should be coordinated with the respective TPs. From a manufacturing point of view, model assumptions such as material model or contact model as input variables for the simulation and result variables such as strength and force distribution are interesting. Process settings such as temperature or pressure as well as the geometry of the component are more important for the tolerance assignment, since these variables can be tolerated. However, these conflicts of interest are always related to each other and are represented by the simulation. The investigation of these input and output variables or their consideration with uncertainties and their optimization by means of fuzzy arithmetic is thus an important component of process-oriented tolerance management in order to optimize the interface between process simulation and tolerance simulation.A new goal of the overall project in the second phase is to take the wear behavior during operation into account during component tolerance. For the TP, the new goal is to create a virtual level of this situation. The modelling of the wear behaviour during operation leads to an additional temporal component in the modelling. In addition to the measurement uncertainty and the surface structure, operating parameters and wear over time have to be taken into account in the metamodel.The time-dependent components represent a challenge. The focus of wear is undoubtedly the gear pairing. The Archard model will be used to make a virtual prediction. Real wear tests will be compared with calculations and characterized taking into account measurement uncertainties, surface topography and operating parameters. The interaction of the components, their prediction and their effects will be analysed exemplarily at the demonstrator from the first phase.