基于锯切弧区切向力分布的功率消耗模型

Establishment of Power Model for Circular Sawing Based on Tangential Force Distribution at the Contact Zone

在分析锯切弧区内单颗磨粒切削深度与锯切参数及锯切弧区内切向力分布关系的基础上,依据能量转化原理建立基于弧区切向力分布的锯切功率消耗模型(Power on force distribution,PFD)。通过系列锯切试验测量不同锯切参数下的锯切功率消耗,采用回归方法分析所建PFD模型的适用性及其影响因素,然后采用此模型进行锯切功率仿真预测,并比较锯切参数组合在不同样本抽取方式下的预测误差率差异,最后进行少样本预测的实例验证。试验结果表明,所建立的锯切功率消耗模型能很好地反映同一线速度下锯切功率与锯切参数之间的对应关系,这与同一线速度下锯切弧区内切向力基本服从同一种分布关系有关。锯切功率仿真预测及实例预测的结果表明,结合弱对角线抽样方式,采用所建模型可以实现锯切功率的少样本预测。

An investigation is reported of establishing a power model,which is defined as power on force distribution（PFD）,for circular sawing based on the tangential force distribution at the contact zone.The relationships of the cutting depth of single grit to sawing parameters and the tangential force distributing along the contact arc are analyzed,and then the model of PFD is established.With experimental results of sawing power under different sawing parameters,the applicability of PFD and its influences are compared and analyzed by regression method and the use of PFD to predict sawing power is also simulated and experimentally verified.The results indicate that PFD is capable of reflecting the relation of power consumption to sawing parameters under the same sawing peripheral speed because tangential force distributions under a specific sawing peripheral speed are same.Combined with the weak-diagonal line sampling method,PFD is capable of forecasting sawing power with small samples.