Development of a kinematic model for the prediction of the relative speed between chips and work piece in unguided vibratory finishing process

振动精加工是一种用于航空航天工业、医疗工业或齿轮传动工业零件表面和边缘加工的制造工艺。由于其广泛的应用，振动整理在工业生产中得到了广泛的应用。然而，在这个重要的工业问题上，只有很少的科学研究。磨料和工件在加工过程中发生的加速度基本上影响它们在工作碗内的运动。磨料和工件的运动再次影响它们的接触条件（接触力和相对速度），从而影响加工输出参数，如单位面积去除的材料体积。关于加速度的知识以及相关工艺参数对加速度的影响还不存在。这一更新建议的总体目标是建立一个经验运动学模型，通过该模型，磨料和工件的主要接触条件可以基于工作碗加速度对磨料和工件加速度的传递行为来解释，作为非导向振动精加工过程中重要机器和工具输入参数的函数。在第一步中，系统地研究了工作碗加速度对磨料和工件加速度的传递行为。因此，开发和构建了传感器集成磨料和传感器集成工件两种形式的测量系统。在第二步中，确定和解释磨料和工件的加速度与主要接触条件之间的因果关系。最后，基于工作碗加速度对磨料和工件加速度的传递行为，开发用于解释磨料和工件之间主要接触条件的经验运动学模型是在第三步中进行的。

The vibratory finishing is a manufacturing process used for machining surfaces and edges of components from the aerospace industry, the medical industry or the gearing industry. Due to its wide range of applications, vibratory finishing is widespread in the industrial production. However, there exists only a small amount of scientific work on this industrial important issue. The occurring accelerations of the abrasives and the workpieces during the process essentially influence their movement within the work bowl. The movement of the abrasives and the workpieces again influences their contact conditions (contact forces and relative velocities) and thus process output parameters like the removed material volume per unit area. The knowledge of the accelerations as well as the influence of relevant process parameters on the accelerations does not exist yet. The overall goal of this renewal proposal is an empirical kinematic model, with which the prevailing contact conditions of the abrasives and the workpiece can be explained based on the transmission behaviour of the work bowl acceleration on the acceleration of the abrasives and the workpiece as a function of the significant machine and tool input-parameters in the unguided vibratory finishing process. In a first step, the transmission behaviour of the work bowl acceleration on the acceleration of the abrasives and the workpiece is systematically investigated. Therefore, two measuring systems in the form of a sensor-integrated abrasive and a sensor-integrated workpiece are developed and constructed. In a second step, the determination and explanation of the cause-and-effect relationships between the acceleration of the abrasives and the workpiece and the prevailing contact conditions are carried out. Finally the development of the empirical kinematic model for the explanation of the prevailing contact conditions between the abrasives and the workpiece on the basis of the transmission behaviour of the work bowl acceleration on the acceleration of the abrasives and the workpiece is carried out in a third step.