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. 2023 Aug 22;16(17):5748. doi: 10.3390/ma16175748
dFt,jϕjz The differential tangential cutting force (N)
dFr,jϕjz The differential radial cutting force (N)
dFa,jϕjz The differential axial cutting force (N)
Ktc Tangential shearing force coefficient (N/mm2)
Krc Radial shearing force coefficient (N/mm2)
Kac Axial shearing force coefficient (N/mm2)
Kte Tangential edge force coefficient (N/mm)
Kre Radial edge force coefficient (N/mm)
Kae Axial edge force coefficient (N/mm)
hjϕjz The instantaneous chip thickness at immersion angle (mm)
dSϕjz The instantaneous edge length of the cutting segment (mm)
db The instantaneous chip width (mm)
Ffϕ The cutting force in feed direction (N)
Fnϕ The cutting force in normal direction (N)
Fzϕ The cutting force in axial direction (N)
Ff¯ The average cutting force in the feed direction (N)
Fn¯ The average cutting force in the normal direction (N)
Fz¯ The average cutting force in the axial direction (N)
Ffc¯, Ffe¯ The components of linear model force in the feed direction (N)
Fnc¯, Fne¯ The components of linear model force in the normal direction (N)
Fzc¯, Fze¯ The components of linear model force in the axial direction (N)
σεp,ε˙,T Workpiece material flow stress
gεp Strain enhancement function
Γ(ε˙) Strain rate effect function
Θ(T) Thermal softening function
ε˙ Strain rate
T Temperature
σ0 Initial yield stress
εp Plastic strain
ε0p Reference plastic strain
εcutp Cut-off strain value
n Contingency strengthening index
Δεip Instantaneous strain increment
εfip Material failure strain
mx, my Mass of machine–tool system in the x- and y-directions
cx, cy Damping of machine–tool system in the x- and y-directions
kx, ky Stiffness of machine–tool system in the x- and y-directions
Fxj, Fyj Cutting force components acting on the tooth in the x- and y-directions
vj,0 Dynamic displacement of the cutter in the previous cycle
vj Dynamic displacement of the cutter in the current cycle
gϕj Unit step function
Φxxiω Direct transfer function in the x-direction
Φyyiω Direct transfer function in the y-direction
Φxyiω Cross-transfer function in the x-direction
Φyxiω Cross-transfer function in the y-direction
vc Speed of milling process
n Rotating speed of spindle
fz Feed per tooth
ae Radial depth of cut
ap Axial depth of cut