TC4 titanium alloy is utilized in aerospace and a wide range of other applications due to its high strength and corrosion resistance, but its poor thermal conductivity and high ductility introduce challenges in machining. In this paper, firstly, a mathematical model of workpiece surface morphology under tilted ultrasonic elliptical vibration cutting (TUEVC) was established based on the tip trajectory and material removal mechanism, and the variation of workpiece surface morphology was investigated at different tool tilt angles θ, and it was found that the tilt θ in a certain range could significantly reduce the surface residual height compared with that of ordinary ultrasonic elliptical vibration cutting (UEVC). Second, the TUEVC experiment of TC4 titanium alloy was carried out to comparatively analyze the changes in the surface morphology, surface profile, and surface roughness of the workpiece under different tilt θ, the effect of each machining parameter (cutting speed, feed, and ultrasonic amplitude) on surface roughness was explored. The experimental results indicate that as the tilt θ changes from 0° to 90° throughout the process, the workpiece surface morphology flatness decreases and then increases. When the tilt angle θ is 45°, workpiece cutting surface roughness is minimized (Sa = 0.157), compared with the ordinary ultrasonic elliptical vibration cutting roughness is reduced by 47.6 % maximum. Both the surface morphology flatness and the surface roughness of the workpiece are at their smallest, whereas the theoretical profile curve and cutting surface profile curve are at their most consistent. Under the same machining parameters, TUEVC can reduce the surface roughness more effectively compared with UEVC, this technique reduces surface roughness by 16 %, 23 %, and 26 % at maximum for different cutting speeds, feeds, and ultrasonic amplitudes, respectively.

TC4钛合金因其高强度和耐腐蚀性而被广泛应用于航空航天和其他广泛的应用，但其较差的导热性和高延展性给机械加工带来了挑战。本文首先基于刀尖轨迹和材料去除机理，建立了倾斜超声椭圆振动切削（TUEVC）下工件表面形貌的数学模型，并研究了不同刀具倾斜角θ下工件表面形貌的变化情况，结果发现，与普通超声椭圆振动切割（UEVC）相比，一定范围内的倾斜θ可以显着降低表面残余高度。其次，对TC4钛合金进行TUEC实验，对比分析工件在不同倾角θ下表面形貌、表面轮廓、表面粗糙度的变化以及各加工参数（切削速度、进给量、超声波等）的影响。振幅）对表面粗糙度的影响进行了探讨。实验结果表明，整个过程中随着倾斜θ从0°变化到90°，工件表面形貌平整度先减小后增大。当倾斜角θ为45°时，工件切割表面粗糙度最小（Sa  =0.157），与普通超声波椭圆振动切割粗糙度相比最大降低47.6%。工件表面形貌平整度和表面粗糙度均最小，理论轮廓曲线与切削表面轮廓曲线最一致。在相同加工参数下，与UEVC相比，TUEVC能够更有效地降低表面粗糙度，该技术在不同切削速度、进给量和超声波振幅下，最大分别可降低表面粗糙度16%、23%和26%。