OBRABOTKAMETALLOV MATERIAL SCIENCE Том 23 № 3 2021 EQUIPMEN . INSTRUM TS Vol. 6 No. 1 2024 i:=0deg..5deg..360deg r:= 0deg 10deg 20deg 30deg 40deg 50deg 60deg 70deg 80deg 90deg 100deg 110deg 120deg 130deg 140deg 150deg 160deg 170deg 180deg 190deg 200deg 210deg 220deg 230deg 240deg 250deg 260deg 270deg 280deg 290deg 300deg 310deg 320deg 330deg 340deg 350deg 152.5 152.268 149.728 143.352 135.049 128.351 125.055 124.5 124.5 124.5 124.5 124.5 124.5 124.5 124.5 124.5 124.5 124.5 124.5 125.055 128.351 135.049 143.352 149.728 152.268 152.5 152.5 152.5 152.5 152.5 152.5 152.5 152.5 152.5 152.5 152.5 r:=csort(r, 0) ‹0› ‹1› x:=r y:=r c:=cspline(x, y) r(i):=interp(c, x, y, i) a b Fig. 6. The matrix of values of radius vectors and the shape of the cam profi le: (a) radius vectors of the cam; (b) shape of the cam profi le 38, 45, 46]. Fig. 7 shows a diagram for determining the coordinates of point B. In this case, it is necessary to have the radius vectors of the cam r(i), as well as the lengths of the links AB, BO2, coordinates O1 and O2 (see Table), and a hard angle θ. According to the cosine theorem, we fi nd the angle α (Fig. 8) from the triangle AO1O2 2 2 2 1 2 2 1 2 2 ( ) arccos 2 O O AO r i O O AO α æ ö + - ÷ ç ÷ ç = ÷ ç ÷ ç ⋅ ÷ çè ø , (18) The angle δ is determined by: ( ) δ π α θ = - + . (19) Fig. 7. The second-class fi rst-type Assur group attached to the fi rst-class fi rst-type mechanism
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