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首页> 外文期刊>International Journal of Machine Tools & Manufacture: Design, research and application >An efficient method for solving the Signorini problem in the simulation of free-form surfaces produced by belt grinding
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An efficient method for solving the Signorini problem in the simulation of free-form surfaces produced by belt grinding

机译：解决砂带磨削自由曲面模拟中的Signorini问题的有效方法

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摘要

Industrial robots are recently introduced to the belt grinding of free-form surfaces to obtain high productive efficiency and constant surface quality. The simulation of belt grinding process can facilitate planning grinding paths and writing robotic programs before manufacturing. In simulation, it is crucial to get the force distribution in the contact area between the workpiece and the elastic contact wheel because the uneven distributed local forces are the main reason to the unequal local removals on the grated surface. The traditional way is to simplify this contact problem as a Signorini contact problem and use the finite element method (FEM) to calculate the force distribution. However, the FEM model is too computationally expensive to meet the real-time requirement. A new model based on support vector regression (SVR) technique is developed in this paper to calculate the force distribution instead of the FEM model. The new model approximates the FEM model with an error smaller than 5%, but executes much faster (1 s vs 15 min by FEM). With this new model, the real-time simulation and even the on-line robot control of grinding processes can be further conducted.
机译：最近，工业机器人被引入到自由曲面的砂带磨削中，以实现高生产效率和恒定的表面质量。砂带磨削过程的仿真可以帮助规划磨削路径并在制造之前编写机器人程序。在仿真中，至关重要的是要获得工件和弹性接触轮之间接触区域中的力分布，因为不均匀分布的局部力是造成磨碎表面上局部去除不均的主要原因。传统的方法是将此接触问题简化为Signorini接触问题，并使用有限元方法（FEM）计算力分布。但是，FEM模型的计算量太大，无法满足实时要求。本文开发了一种基于支持向量回归（SVR）技术的新模型来代替FEM模型来计算力分布。新模型近似FEM模型，其误差小于5％，但是执行速度更快（1 s对FEM为15分钟）。使用这种新模型，可以进一步进行实时仿真，甚至可以对研磨过程进行在线机器人控制。

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