Fuzzy-arithmetical modeling of processes with uncertain prarameters

子项目的目标仍然是使用元模型开发健壮的过程建模，以改进和有效地预测过程波动对功能关键度量的影响。对于第二阶段，重点将放在元模型和流程模拟之间的连接上。进一步的模拟实际过程的方法需要更详细的模型，因此需要更高的计算时间。这使得为元模型评估足够的模拟变得更加困难。因此，以这样一种方式优化模拟是很重要的，即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进行映射。由于产出和投入变量都起决定性作用，因此应与各自的tp进行协调。从制造的角度来看，模型假设（如材料模型或接触模型）作为仿真的输入变量和结果变量（如强度和力分布）是有趣的。工艺设置，如温度或压力以及部件的几何形状对公差分配更重要，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，并通过仿真来表示。为了优化过程仿真与公差仿真之间的接口，对这些输入输出变量进行研究或考虑不确定性并利用模糊算法对其进行优化是面向过程公差管理的重要组成部分。整个项目第二阶段的一个新目标是在部件公差期间考虑运行过程中的磨损行为。对于TP，新的目标是创建这种情况的虚拟级别。在运行过程中对磨损行为的建模导致了建模中额外的时间分量。除了测量不确定度和表面结构外，在元模型中还必须考虑操作参数和随时间的磨损。与时间相关的组件是一个挑战。磨损的焦点无疑是齿轮对。Archard模型将用于进行虚拟预测。将实际磨损试验与计算结果进行比较，并考虑测量不确定度、表面形貌和操作参数。从第一阶段开始，将在演示机上举例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.