Of profile of lathe tool of arris form figuration simplify design and make

One, foreword is in common lathe, turret lathe, relieving lathe, automatic lathe and transfer matic production, the lathe tool of arris form figuration that uses radial extensively to be being installed (knife of body of arris of the following abbreviation) or lathe tool of smooth style figuration (can regard height as lathe tool of lesser arris form figuration) will machine all sorts of swing tower complex model the workpiece of the face, have the work of curvilinear part face especially. Because knife of Dan Leng body has before, hind horn concerns, cutting tool profile will be different from workpiece profile and produce distortion, when because this is in,be designed and making this kind of cutting tool, must undertake correction to cutting tool profile. Apparent, treatment workpiece face heals complex, correction computation also heals trival. To prevent the correction consideration of heavy and complicated, profile of knife of body of arris of the following introduction simplifies design and two kinds of when make new methods. 2, the profile design of the knife of body of mathematical model arris that cutting tool profile designs is the profile according to workpiece, of cutting tool before, hind the profile that part will come amend computational cutting tool. Design to facilitate, make and measure, the profile of workpiece of swing tower figuration is to set what measure inside the plane that passes its axes, include the width of profile and deepness among them; And the profile of arris body knife is a regulation in with hind measure inside the section plane NN with knife perpendicular face (NN section plane calls a law the face again) . The graph shows profile of lathe tool of figuration of the form that it is arris 1 times to design sketch map. On cutting tool profile most outside circle of 1 the as smallest as workpiece radius is contacted and wait with work center along the dot tall (dot 1 call base point) , the profile that designs arris body knife is a basis the axial profile of workpiece will decide cutting tool the profile inside method extent NN, the bit more relevant axial width measure on the axial width dimension that goes up each a little bit as a result of cutting tool profile and workpiece profile is identical, do not need to undertake correction calculation. So, the profile design of arris body knife is the profile deepness Api according to workpiece essentially (the value that measures inside the section that carries its axes namely, api=ri-r1) will decide cutting tool the profile deepness Pi inside method extent NN. Graph basis of sketch map of design of profile of lathe tool of 1 arris body pursues 1 in relation, can roll out following calculating type: In type: Ci -- the profile deepness inside face of the knife before cutting tool (F of Ci= γ -- cutting tool is in the horn before base point is in, normally 15 ° of Gf=5 ° ～ α F -- cutting tool is in the horn after base point is in, normally 15 ° of Af=10 ° ～ Ri, r1 -- the radius that the place forms arbitrarily on workpiece profile and the smallest radius. When computation, answer to decide each form a place on workpiece first, the order that presses Ci → Pi next has consideration. Part I with 2, 3, 4... wait for era to enter, the profile deepness P2 that can beg a cutting tool to go up to form bit of part accordingly each, P3, P4... . And the place is formed on workpiece profile, can choose its turning point to form a place as computation commonly. If workpiece is linear profile, desirable and linear two end points are nodded as composition; When workpiece is curve face, outside dividing two end points, inspect requirement of curve face precision, in the curve reassume answers among the part a certain number of dots are nodded as composition. The measure that the point constitutes each on the workpiece when computation should take his average size. The data processing in computational process, the requirement arrives accurately decimally hind 4 digit above. On blueprint final demand, length should arrive accurately 0.

01mm, angle arrives 1 ′ . 2, profile of arris body knife simplifies beg a law to reach its to make use afore-mentioned formulary numeration to beg the profile deepness inside extent of cutting tool method not only more troublesome, and easy unripe accident. Recommend a kind of simplifying numeration that check a watch below, be like vector law, rectangular coordinates law with a few methods that introduce on domestic and international data at present, simplify all sorts of numeration that check a watch compare numeration etc, it not only simple, clarity and intuitionistic, and need to check a piece of watch only, make a simple multiplication, get accurate result namely. Be as follows the tabulating principle of this law and use method brief introduction now. Tabulating primary reason is formulary (1) reach a figure 1 knowable, because Pi and Ci are concerned, and Ci is concerned with Api again, reason can establish a relationship: K=Pi/api (2) in type: K -- the ratio Api of corresponding profile deepness on deepness of the profile on extent of cutting tool method and workpiece -- deepness of profile of aleatoric point point is worth on workpiece, and if Api=ri-r1 will be formulary (1) in Pi value takes the place of (2) type, can get: Your N=ri/r1, take the place of Ri=Nr1 to go up type, : Apparent, when determining a value for some when horny γ F and α F, coefficient K is concerned with N only, also concern with Ri/r1 ratio namely, and have nothing to do with the round specific measure size outside workpiece; From (3) in type knowable, want F of N, γ and af3 value to decide only, can beg a coefficient K, can get Pi thereby. To prevent the design consideration of heavy and complicated, prevent overmuch profile parameter to introduce the accident that brings design of cutting tool profile, show a basis arris body knife is commonly used before 15 ° of ～ of horny γ F=5, hind 15 ° of ～ of horny α F=10 and different N value, can compile a list that requests coefficient K value, if express,1 is shown. To make K is worth accurate for the purpose of, but will formulary (3) carry operation of computer process designing. Watch 1 request the list of K of ratio of corresponding profile deepness on deepness of cutting tool profile and workpiece (° of Af × 10-3) Gfafri/r15 10 ° 15 ° of 12 ° 12 ° of 10 ° 10 ° of 15 ° 15 ° of 12 ° 12 ° of 10 ° 10 ° of 15 ° 12.

109699599429529409189459329099359198931.

209689599429519399179449309079329168911.

309689599429509389179439299069309148891.

409689589429499379169419279059289138871.

509689589429499369159409279049279118861.

609689589419489369149399269039259108841.

709689589419489359149399259029249098831.

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009679589419469349139379239009219068802.

109679589419469339129369239009219058802.

209679579419469339129369228999209048792.

309679579419459339129369228999199048782.

409679579419459339129359218999199038782.

509679579419459329119359218989189038772.

609679579419459329119359218989189028772.

709679579419459329119349208989179028772.

809679579409449329119349208979179018762.

909679579409449329119349208979179018763.

009679579409449319109339208979169018753.

109679579409449319109339208979169008753.

209679579409449319109339198979169008753.

309679579409449319109339198969159008753.

409679579409439319109339198969158998743.

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609669579409439319109329198969148998743.

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00966957940943930909932918895914898873 must explain, value of the K in the watch is ° of Af=10 of the horn after be being mixed according to Gf=5 ° , 10 ° , 12 ° , 15 ° , 12 ° , 15 ° , and Ri/r1 ratio N=1.

10 ～ 4.

Of 00 work outs. Although have afore-mentioned restriction, but in light of the work limits that machines with respect to place of arris body knife already very enough, and be being placed from tool and knife also is very advantageous in light of standardization. When cutting tool before, hind when differring in horny numerical value and watch or when the ratio N of the Ri/r1 on workpiece exceeds range of the regulation in the watch, as long as will formulary (the Gf in 3) , Af and N assign afresh, can beg a new K worth to come, with simplifying cutting tool designs a process. 2.

Use method is like the figuration workpiece profile that the graph shows 2 times, material is Sb=0.

The carbolic steel of 784GPa, arris body knife is used to machine on C1336 automatic lathe, ° of Gf=10 of the horn before cutting tool, hind horny Af=12 ° , figuration surface surface roughness is Ra3.

2µm, do not grind after workpiece turning, afore-mentioned simple and easy numeration that check a watch machine try out certainly the profile of lathe tool of arris form figuration that this workpiece uses. Graph figure of 2 workpiece profile is specific move is as follows: A.

Each composition dot is in profile deepness Api on computational workpiece, by the graph 2 in knowable, the average size that bit of radius comprises each on workpiece profile is: R1=9mm; R2=11mm; R3=(26-0.

28/2)/2=12.

93mm; R4=(31.

8-0.

4/2)/2=15.

8mm. So, each composition dot is in profile deepness Api to be respectively on workpiece: Ap2=r2-r1=2mm; Ap3=r3-r1=3.

93mm; Ap4=r4-r1=6.

8mm. B.

Aleatoric dot manages the specific value of radius and center part radius on computational workpiece profile: N2=r2/r1=11/9=1.

22 ≈ 1.

2N3=r3/r1=12.

93/9=1.

44 ≈ 1.

5N4=r4/r1=15.

8/9=1.

76 ≈ 1.

75 C.

Check a watch and the dot comprises to be in profile deepness Pi each on affirmatory cutting tool: K2=0.

939, p2=K2aP2=0.

939 × 2=1.

878mmK3=0.

936, p3=K3aP3=0.

936 × 3.

93=3.

678mmK4=0.

935, p4=K4aP4=0.

935 × 6.

8=6.

358mm graph shows the profile picture that is the lathe tool of arris form figuration that gives according to afore-mentioned result draw 3 times. Graph profile of lathe tool of 3 arris body pursues by on knowable, the profile that decides arris body knife with afore-mentioned methods not only handy and rapid, and this law is calculate those who build a list with the microcomputer, reason has very high definition, via error analysis and computation, the error on dimension of cutting tool profile won't exceed 3µm, can satisfy the requirement that the factory produces actually completely. 3.

The treatment of the profile of knife of production arris body of cutting tool profile, it is to press the profile of correction computation earning to be worth the example that make first normally, be cut by example mill next or dig is cut, go up in grinding machine of optical curve tool finally grinding figuration. This kind of technique not only much, cycle grows working procedure, and general plant also does not have grinding machine of optical curve tool this kind of special device. And at present application of machine tool of factory line cut already gained ground increasingly, it not only the production precision that can make sure cutting tool is taller, and what use clamping apparatus simple, cutting tool profile can machine figuration, treatment cycle is short, especially the lathe tool of hard alloy figuration of tall to making hardness, advantage particularly apparent. The outfit when the graph shows cut of line of knife of the body that it is arris 4 times to machine places sketch map. Before line cut, must machine good prism and swallow end tenon first, classics heat treatment is ground make the same score each, next process designing presses machine program figuration of cutting tool cut. The cut on face of again advanced finally knife goes out (or blade is ground piece) Gf+af part comes. Must point out, when line cut is machined, should choose suitable electric regulation to allow in order to assure model the exterior surface roughness that the face achieves place to need. Carry out a proof, when line cut if adopt weak plan,accurate small electric current is machined, can make the value reduces surface roughness of cutting tool face, although do not achieve a requirement basically also via abrade treatment. Graph sketch map of clip of outfit of treatment of cut of line of lathe tool of 4 arris body chooses makings of white steel bar to regard a knife as base commonly to making the same score form figuration lathe tool, place its press fitting in what have bevel angle to be Af space block next hold inside, and on the bed face that space block secures online cut machine tool. The factory is in actual production, according to arris body knife commonly used hind horny cost often provides the space block that has a variety of point of view, make good number, so that be chosen when treatment. It is Af of the horn after assuring correct, if the graph is shown 5 times, can abstain mat of diminutive sine compasses to be faced below cutting tool model the face undertakes line cut is machined. Finally again Gf of the horn before cut goes out comes. Graph 5 use sine compasses to machine sketch map to cut of line of arris body knife cover 3, already pointed out before the new method that profile of arris body knife produces, profile of arris body knife must undertake correction calculation before make. The new method that introduces form of Dao Kuo of body of a kind of arris to make below, it does not need to undertake the correction computation of heavy and complicated works, machine its principle brief introduction to be as follows now. If the graph is shown 6 times, the profile of arris body knife is in different locally, its profile deepness is not identical. For example, advanced knife face (KK section plane) the profile deepness C inside () should be more than workpiece to nod Ap of place profile deepness accordingly () , and in with hind P of deepness of the profile inside NN compares the method extent with knife perpendicular face again Ap of workpiece profile deepness wants small, namely P ＜ Ap. Apparent, sure existence is worn among certain section plane AA, deepness of the profile on its will be mixed Ap of workpiece profile deepness is identical. According to this principle, if press blade of the profile inside AA section plane,grind cutting tool model face, right now the profile of cutting tool and workpiece profile will be identical, also need to be opposite no longer namely model the face undertakes correction calculation. To determine this planar position, the center that can attend through cutting tool 1 make parallel the ′ of A of ′ of planar line A at AA plane (call auxiliary and planar) , the before assisting horn inside plane of ′ of A of this A ′ is cutting tool Gfe. If cutting tool is in,the horn after the horn before base point is in is mixed is Gf and Af respectively, criterion Gfe but by the graph 6 in Δ is begged in M of 12 ′ M and Δ N2 ′ piece. Because: Ccos(gf+af)=cos(gfe+af) your =ap, and Cosgf ≈ Ap/C, reason can get: Must point out, with formula (although the Gfe horn numerical value of 4) cipher out is put in certain error, but it is not big that its are worth, it but inside the public errand that classify machines a part to ask to workpiece profile. For example, when the figuration slotting tool of production Gf=10 ° and Af=12 ° , if use afore-mentioned methods, can use formula first (face of the knife before 4) cipher out is auxiliary 42 ′ of ° of Gfe=7 of the horn before going up, press face of the knife before this horn is made. Be like a graph next 7 are shown, cutting tool 3 through sine feet or space block 2 tilt Af=12 ° is put in planar grinder workbench 1 on, can use emery wheel then 6 along hind knife face will grind cutting tool model face 7, apparent this profile and workpiece profile are safe and identical, can use face of the knife before with the example with workpiece identical face horn of 5 edges Gfe is assisted to check blade of cutting tool face grind correct. To facilitate example measures for the purpose of, a vitreous board can be placed on face of the knife before Gfe role is ancillary 4. Face of the knife before grinding those who give the role before cutting tool place needs with Gf=10 ° again finally comes. 1.

Grinder workbench 2.

Space block 3.

Arris body knife 4.

Vitreous board 5.

Working example 6.

Emery wheel 7.

Model the face pursues practice of plan of equipment of direct grinding figuration proves 7 cutting tool range, machine with this law complex model when the workpiece of the face, the correction consideration that can prevent heavy and complicated of cutting tool profile works, also do not need to make special special model, (what should use examination workpiece face only is right board can) , the treatment precision that and it still can reach work place needs. CNC Milling