BTA刀具径向运动轨迹决定了小深孔的圆度形貌，能否揭示运动轨迹与各因素间的抵消机制，是保证小深孔圆度的关键问题，而传统的单因素被动控制圆度的方法已很难满足多因素影响下BTA小深孔圆度形貌的要求。.本项目将在前期研究获得BTA压电刀具系统的基础上，进一步开展切削液动压流变作用下的BTA小深孔加工圆度形貌压电协同控制理论研究。首先，分析BTA小深孔加工中影响圆度形貌的各因素，从刀具系统的几何参数、切削参数、振动参数、排屑参数及动压流变参数等方面进行深入的研究，寻求各因素与压电刀具径向运动轨迹之间的映射关系；其次，基于流体动压润滑理论，建立BTA小深孔加工圆度形貌数学模型，阐明各影响因素协同一致的最优匹配方案；再次，借助BTA压电刀具的实时反馈机制，提出一种圆度形貌多因素协同控制方法；最后，构建切削液动压流变作用下的BTA深孔圆度形貌主动控制理论。本项目将为流体动压流变理论纳入工程应用奠定基础。

The radial motion path of BTA tool determines the roundness topography of small deep hole, whether it can reveal the counteracting mechanism between the processing path and various factors is the key to ensure the roundness of small deep hole. However, the method of traditional single-factor passive controlling roundness can hardly meet the requirements of BTA small deep hole roundness topography under the influence of multiple factors..On the basis of the BTA piezoelectric tool system obtained from the previous research, the piezoelectric control theory of the roundness topography in BTA small deep hole drilling under the action of dynamic pressure rheology of cutting fluid will be further studied in this project. Firstly, the factors affecting the roundness topography in BTA small deep hole drilling are analyzed. The geometric parameters, cutting parameters, vibration parameters, chip removal parameters and hydrodynamic rheological parameters of the tool system are studied in depth, and the mapping relationship between the factors and the radial motion trajectory of piezoelectric tool is sought. Secondly, based on hydrodynamic lubrication theory, the mathematical model of small deep hole roundness morphology under the synergistic action of multiple factors is established, and the optimal matching scheme with the same synergistic effect of various factors is clarified.Thirdly, with the help of the real-time feedback mechanism of BTA piezoelectric tool, a multi-factor cooperative control method for roundness topography is proposed. Finally, the active control theory of BTA deep hole roundness topography under the action of cutting fluid hydrodynamic rheological is constructed. This project will provide a theoretical reference for the application of hydrodynamic dynamic pressure rheology theory into engineering application.