Cutting force diagram of conventional orthogonal cutting (left) and vibration-assisted orthogonal cutting (right)

Contexts in source publication

Context 1

... models describe the physical relations between the input and output parameters, requiring no experimental calibration and allowing simpler expansion of the models. Merchant (1945a) modeled the cutting forces in 2-dimensional orthogonal cutting, where the cutting force is a function of the shear stress of the material (τs), the shear angle (Φ), the rake angle (αr) and the friction angle (βa) (see Figure 5). In addition, Merchant (1945b) proposed a model to predict the shear angle (Φ), assuming the shearing of the material will happen at the minimum cutting power. ...

Context 2

... friction angle is determined by the friction coefficient acting between the chip and the rake face of the tool. In figure 5, the vibration velocities resulting from longitudinal-torsional vibration superposition are illustrated on the right hand side. The torsional component vus,t acts parallel to the cutting direction and the longitudinal component vus,l acts perpendicular to it. ...

Context 3

... lower average friction in the chip flow direction will allow chips to slide easier, reducing the shear angle and forming thinner chips with a higher chip flow velocity when compared to those in conventional cutting. The resulting forces and angles due to the VA are visualized in figure 5. To model the macroscopic force reduction between the chip and the rake face, the chip flow velocity must first be determined. ...

Context 4

... the geometric relationships shown in Figure 5, the chip compression ratio under VA rus,c can be expressed as a function of the shear angle Φus,s and the rake angle of the tool αr: ...