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A Gear Cutting Predictive Model Using the Finite Element Method

机译:基于有限元法的齿轮切削预测模型

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摘要

Current processes for producing transmission gears involve hobbing, milling or shaping of a forged stock to obtain the gear shape. Gears are typically formed by hobbing tools made from solid tooling material, such as tungsten carbide, and have dozens of teeth. The gear hobbing process entails several teeth in cut simultaneously. Generation of in-volute tooth profiles results in varying chip loads from pass to pass. In this paper, details are provided for a finite element-based model of gear hobbing and milling processes. The model explicitly meshes gear cutter geometries with dozens of teeth. These cutters are used to simulate the complicated kinematic motion between tool and workpiece. Thermo-mechanical coupled calculations within an explicit dynamic formulation are per-formed on the tool and workpiece during chip removal. The complex geometry of involute tooth profiles results in complicated contact scenarios on the evolving workpiece geometry during tooth profile generation. Tooth-workpiece-chip contact is enforced rigorously and is particularly complicated with the confined space of gear hobbing. Advanced adaptive meshing strategies are developed and employed to maintain the resolution of the tool-workpiece interaction while multiple teeth are in contact. Cutting forces, temperatures and stresses in the tool and workpiece are predicted for steel workpiece materials. Models are validated through a set of initially simplified experiments where incremental complexity is added, allowing for direct comparison between predicted and measured forces and chip shapes.
机译:用于生产传动齿轮的当前方法包括对锻件进行滚齿,铣削或整形以获得齿轮形状。齿轮通常由滚刀形成,该滚刀由诸如硬质合金的实心加工材料制成,并具有数十个齿。齿轮滚齿过程需要同时切削几个齿。渐开线齿形的产生导致每次通过时切屑负载变化。在本文中,为滚齿和铣削过程的基于有限元模型提供了详细信息。该模型显式地将具有数十个齿的齿轮刀具几何形状啮合。这些刀具用于模拟刀具和工件之间的复杂运动。在排屑过程中,在刀具和工件上执行显式动态公式内的热力耦合计算。渐开线齿形的复杂几何形状导致在齿形生成过程中不断演变的工件几何形状上的复杂接触情况。齿-工件-切屑接触严格执行,并且在有限的滚齿空间中特别复杂。先进的自适应啮合策略已开发并用于在多个齿接触时保持工具-工件相互作用的分辨率。对于钢制工件材料,可以预测刀具和工件中的切削力,温度和应力。通过一组最初简化的实验对模型进行验证,其中增加了增量复杂性,从而可以直接比较预测力和测量力以及切屑形状。

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