Three-dimensional quantity expresses the design computation of transmission cap face
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source:AVELLINO CNC Machining
Three-dimensional quantity is expressed (3D is expressed) basically use at be in accurate machine tool (especially numerical control machine tool) go up to undertake to workpiece exact location is mixed measure. Three-dimensional volume list can be indicated give its the displacement volume that the globose deviate that measure a head measures axes, its job principle is as follows: Globose the outfit that measure a head is in measuring staff one aspect of the matter, measuring staff other one aspect of the matter is the transmission ball of a same size, when the dot is rotational in circling its when measuring staff, transmission ball forces cap of a drive to produce axial displacement down the sliding sleeve that cooperates to it, transmission cap drives the rack movement of instruction sheet again, drive pressing with a finger to show the displacement amount of axes of the deviate that measure a head accurately thereby. In the design that expresses in three-dimensional quantity, those who need to build transmission cap lumen model face equation. If the graph is shown 1 times, when horn of θ of measuring staff roll, globose the FA of horizontal displacement quantity of the ′ of BB of horizontal displacement quantity of the axes of ball heart deviate that measures a head and transmission ball heart is equal, c of transmission crown dot moves by former position C ′ . The root changes a requirement as it is said, the quantity of perpendicular ascendant displacement of transmission cap should be equal to the actual displacement of axes of ball heart deviate to measure BB ′ , namely the ′ of perpendicular height FC that A of heart of ball of drive of θ of Rsin of ＝ of ′ of BB of ＝ of ′ of FA ＝ CC nods C to transmission crown is R of ＝ of ′ of CC of ＋ of GC of ＋ of FG of FC ′ ＝ (1 - Cos θ ) 1 of graph of θ of Rsin of ＋ R ＋ , for convenient for the purpose of, origin O and transmission crown nod C ′ coincide, y axis to downward, x axis to towards the left, if pursue,2 are shown. Graph it is medium that 2 nod A park Xoy coordinate, express with A ′ , its coordinate is of of of (1) the θ in type is variable, so the equation of A of curve of A ′ place is of of of (2) makes the tangent T that appoints bit of A ′ on curvilinear A, make N next perpendicular hand in A ′ to nod at T at EE ′ , among them E ′ disagreement is inscribed justice, abandon, the gather B that E nods is the curvilinear equation that begs. The slope of T is Kn ＝ for the slope of N - ＝ of 1 ／ Kt - 1 ／ (Tg θ ＋ 1) the equation of N is of of (3) the equation of dot A ′ is (Y - Y ′ ) 2 ＋ (X - , namely of of (5) general type (1) era enters type (5) , the equation that gets B is of of (6) the lumen that seeks transmission cap namely face is one is axes with Y axis, circle what Y axis metempsychosis coming back becomes to rotate by curvilinear B face. CNC Milling