Mcassou cw brown methods for evaluation of systematic

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Unformatted text preview: At last, vector O h O t expresses the height between the driven points and the bottom of the milling tool from where the cutting edge geometries are defined. 3.4. Global expression of a cutting edge point. The whole kinematical chain presented in the previous paragraph, can be globally expressed using a set of transformation matrixes including both rotation and translation associated to each change of coordinate system. The final expression for this chain is: Op M = V ( t, x m , k ) , x m ∈ [ rmin , rmax ] , t ∈ [ t min , t max ] , k = 1…n ⎡ x ⎤ ⎡1 ⎢ y⎥ ⎢ ⎢ ⎥ = ⎢0 ⎢ z ⎥ ⎢0 ⎢⎥ ⎢ ⎣ 1 ⎦ ⎣0 OpM 0 0 - g x ( t ) ⎤ ⎡ cos (ω × t ) sin (ω × t ) ⎥⎢ 1 0 - g y ( t ) ⎥ ⎢-sin (ω × t ) cos (ω × t ) ⋅ 0 1 -gz (t ) ⎥ ⎢ 0 0 ⎥⎢ 00 1 ⎦⎣ 0 0 0 0 ⎤ ⎡ cos (α k ) sin (α k ) ⎥⎢ 0 0 ⎥ ⎢-sin (α k ) cos (α k ) ⋅ 1 λ⎥ ⎢ 0 0 ⎥⎢ 0 1⎦ ⎣ 0 0 k th edge orientation 0 0⎤ ⎡ ⎥⎢ 0 0⎥ ⎢ ⋅ 1 0⎥ ⎢ f ⎥⎢ 0 1⎦...
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