A lumped parameter vibro-impact model is proposed to describe the axial dynamics of a vibration-assisted drilling tool prototype, developed to improve the drilling efficiency in hard-rock drilling applications. The purpose of this work is twofold: to develop a new mathematical model that represents the axial dynamics of a vibration-assisted drilling tool, and to validate the proposed mathematical model with field data. The proposed model has seven degrees-of-freedom model with four impact surfaces. High-frequency field data, measured at multiple locations, are used to validate the mathematical model. The results show an overall good match between field data and model outputs, as the vibro-impact model is capable of capturing and reproducing the main dynamic behavior of the vibration-assisted drilling tool. Furthermore, the proposed model is able to reproduce complex dynamic behavior with little computational cost, due to the low number of degrees-of-freedom.

提出了一种集总参数振动冲击模型来描述振动辅助钻具原型的轴向动力学，该模型旨在提高硬岩钻探应用中的钻探效率。这项工作的目的是双重的：开发代表振动辅助钻井工具轴向动力学的新数学模型，并用现场数据验证所提出的数学模型。所提出的模型具有带有四个冲击面的七个自由度模型。在多个位置测量的高频场数据用于验证数学模型。结果表明，在现场数据和模型输出之间总体上是很好的匹配，因为振动冲击模型能够捕获和再现振动辅助钻具的主要动态行为。此外，