Of arc tine bevel gear three-dimensional emulate
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- source:FRESE CNC Machining
5DG ± 0.
The knife outside correspondence of the positive sign in 5PW(2) type (namely) of rounds of big concave side, the knife inside minus correspondence (namely rounds of big convex) , PW is apart from for knife top. Equation of face of cutting of rounds of will big cutting tool expresses to be being machined big rounds there is R2(rG in coordinate department S2, θ G, in Øg)=[M2e]re(3) type [M2e] -- rounds of coordinate commutation matrix is big treatment that the coordinate department that solid has even Yu Dao goes to to be fastened by rounds of treatment is big coordinate has equation of clench the teeth to hold water in the process, namely in type of Nm · Vmg2=0(4) : M -- the Nm in showing its vector fastens Sm in coordinate -- the normal Vmg2 of face of cutting tool cutting -- be machined big rounds seek solution with the opposite motion rate that produces form annulus to be nodded in cutting above is various can expunction parameter UG, g of θ of R2(of equation of rounds of those who get Øg is curved surface parameter be mixinged with θ G is big tooth flank, Øg) . The three-dimensional model of bevel gear of 4 arc tine because G of θ of R2(of tooth flank equation, the curved surface with Øg) definite place is dimensional curved surface, form is more complex, be discontinuous inside certain limits, face of big teeth of a cogwheel is the one part of curved surface only, because this must decide G of θ of R2(of tooth flank equation, g of two variable θ in Øg) , the span of Øg. The dot on face of big teeth of a cogwheel (X, y, z) what go up in Xoy plane is umbriferous and inevitable be located in line of root of top line of tine teeth of a cogwheel, tine, outside what awl is apart from line and inner cone to be apart from a line to form is quadrangular inside. The space is nodded (X, y, z) what go up in Xoy plane is umbriferous the coordinate of gotten point is (X1, y1) , among them X1=x, y1=(y2+z2)½ . With these 4 the edge is attrib border condition, judge by G of θ of R2(of tooth flank equation, whether is the point with Øg) certain place inside this limits, the extraction that gets G of two variable θ , Øg thereby is worth limits. To facilitate from the back make a plan, the extraction that should increase variable θ G, Øg appropriately is worth limits. Will age line of root of top line, tine, outside what awl is apart from line, inner cone to be apart from a line to form is quadrangular outside enlarge, peripheral line draw a frame round. peripheral line draw a frame round OX of line of the axle that circle tine rotates, become entity to age namely the circle is hypostatic. According to G of θ of R2(of tooth flank equation, Øg) , it is variable with a parameter, another parameter is changed ceaselessly take a cost, can get a series of curves. The density of reticle is worth density to decide by the extraction of variable θ G, Øg, reseau is closer, curved surface is more accurate. Net of this parameter curve is curvature route network namely, right now curved surface assumes office to was along the tangent of two parameter curve this a little bit advocate direction. Use I-DEAS software the function that reseau of the curve in design of advanced curved surface builds curved surface parts to build network of route of parameter of convex, concave side slick curved surface (tooth flank face piece) . Encircle tine entity and convex (concave side) tooth flank face piece those who take be mixed to get gear namely is convex (concave side) . Will convex the new entity that forms with command of attrib border suture with concave side. To get accurate tine root, need undertakes correction to tine root. Line of the arbor in winding tine root string rotates form root awl entity, substance of the awl that use a root goes excising the new entity that forms by attrib border suture, make accurate tine base substance, amend the awl that use a root the hypostatic array that pass, array number is counted for tine teeth of a cogwheel, the substance after using array goes excising gear annulus base, get the three-dimensional emulation model of arc tine bevel gear namely. The top is apart from knife of round of radius of base parameter point of a knife that expresses bevel gear of 1 arc tine pressure angle of concave side of concave side pressure angle annulus way of base installation part answers a knife horny Xiang Dao bed of machine of ratio of roll 228.
62.
5421.
66718.
333348.
6526772.
7068698.
061821.
53435111.
6720.
1880.
150.
02 Zun Dalun 32-0.
15-0.
02 right 5 conclusion this modelling method basis cutting tool, machine tool and process of the cutting that be reached by the mutual motion of treatment gear go equation of gear tooth flank by kinematic method and derivation of equation of clench the teeth, construction gives curvature route network and generate tooth flank by tooth flank equation again. The tooth flank definition that makes by curvature route network is high, information of tooth flank of can accurate report. Method of this kind of modelling is to be based on Gelisen essentially the machine tool generates tooth flank by cutter track contrail. The model that this kind of modelling method that is based on craft gets is in on numerical control machine tool when treatment, what can assure tooth flank is successional with consistency, raise tooth flank precision. CNC Milling CNC Machining