Determine accurately the new method of helical gear helix angle
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Hang annulus 2.
Dividing head 3.
Dial gauge 4.
Gear 5.
Does tailstock pursue the affirmatory: of Ba" of 2 helix angle? ∨ of Qu porcelain delicious cellar or pit for storing things rainwaters in puddles the garment protects character; Sheng Bao outskirt attacks Jing holds badger of paper of abdicate of Ju of warbler of of ┦ of travel of ⒂ of Cong Yin then of Jie of of of an ancient drinking vessel of a pavilion or house on a terrace attacks be contrary to is read bear fact of moisture in the soil of ┦ Song shelfs than ∩ curtain of two of pliable but strong of brother's son of Mu of value of garment of grave of Bao of ∨ Su is fried, calculate however (tine supports) helix angle Ba" . The I=(a/b)x(c/d) in Ba"=arcsin(pmnZ/40ti) type -- the drive that registers turbine form determines than deciding G of error compensation horn, ba and computational tine carry the actual helix angle that we carry teeth of a cogwheel of the tine that be measured on the head on the head the G needing a value between helix angle Ba is called determine the error amends part, measuring the method that measures calm error to compensate horny G is to use 100 (1000) distribute a list touch the tooth flank that the top of head is being measured to age top of teeth of a cogwheel is in to go up (2) seeing a picture. Handle of jolty dividing head, make gear rotational, make workbench mobile at the same time, the scale that the shift of workbench is apart from L to be able to go up from the dial of workbench numerates (L=nk) , in 100 (1000) can numerate on cent watch the displacement on the perpendicular way that watch head extends tine to carry corkscrewed yarn on the head measures D, the measurement after its corkscrewed yarn spreads out the principle is shown 3 times like the graph. Graph in type of 3 graphs 4tgg=d/s=d/Lcosba" G=arctg[(dcosba")/L] : S -- of the actual helix angle that the length gear after measuring paragraph of corkscrewed yarn to spread out ages the top is in determine: By the graph the 3 actual helix angle that can see gear ages the top is in are taken when Arctg[(dcosba")/L] (d>0 of ± of Ba=ba" ± G=ba" " + " date; Take when D<0 " - " date) the helix angle that gear reference circle is in decides really: According to the helix angle that the geometrical parameter of gear can derive gear is in in reference circle, according to the graph 4 have Tgb=Rtgba/Ra criterion in B=arctg[(Ra-mnha)tgba]/Ra type: R -- Ra of radius of gear reference circle -- because round radius of top of tine teeth of a cogwheel changes the reference circle diameter of a gear and blame change the reference circle diameter of a gear is equal, whether does reason gear change a helix angle to helical gear without the influence, so of its helix angle determine the method is applicable also. In determine to be installation of the gear that be measured on the workbench of gear-hobbing machine on gear-hobbing machine. Will 100 (1000) the magnetic force that distributes a list is expressed stick suck go up in hob wearing, 100 (1000) on the touchs the top of head to age in the gear that be measured the top is in tooth flank that distributes a list, by thick measured a tooth-like part of anything carries helix angle Ba on the head to choose hang annulus, choose hang annulus when as a result of use gear-hobbing machine model different, use displacement formula is not same also. Press on Y3150 gear-hobbing machine type chooses differential to hang annulus: A2 × C2=9sinbab2d2mnk presses on Y38 gear-hobbing machine type chooses differential to hang round of A2 × C2=7.
9577sinbab2d2mnk presses on Y3180 gear-hobbing machine type chooses differential to hang annulus: In type of A2 × C2=6sinbab2d2mnk: A2, B2, C2, D2 choosing deserves to hang annulus tine counts Mn -- the K of method extent modulus of the gear that be measured -- assume the head of the hob when treatment is counted (K=1 or gear-hobbing machine of the actuate after K=2) is installed, the head of watch of displacement quantity L that measures a tool carrier delays tine to carry place tooth flank on the head the displacement of perpendicular direction measures D, the helix angle Ba that decides through computation top giving a tooth-like part of anything is in next and the helix angle B that reference circle is in. The Ba" in type of Ba=ba" ± Arctg[(dcosba)/LJ] B=arctg[(Ra-mnha)tgba/Ra] -- metrical computational helix angle (the model that chooses gear-hobbing machine according to place pushs computation to reach instead by displacement formula) . 4 example the one inclined columnar gear in some machine damages (partial gear teeth of a cogwheel breaks off) , measure so that tine teeth of a cogwheel counts Z=26, tine carries round diameter Da=86 on the head.
87, tine carries helix angle Ba=16deg& on the head, d1=73 of tine root round diameter.
37, determine for more accurate ground the helix angle B of this gear, use in X62W horizontal the method that dividing head matchs on all-purpose milling machine undertakes metrical. The Mn Mn=da/[(Z/cosba)+2ha=86 of method extent modulus that decides gear according to measuring gotten parameter.
8786.
87/[(26/cos16 ° ) + 2 × 1)=2.
99 ≈ 3 anthology deserve to hang annulus by computation formula gets: 3 × of A × C=pmnZ=p × 26=370=74 × 100=3.
7042 ≈ 3.
6 × of 7bd40tsinba40 × the pitch T=6mm of guide screw of station of work of milling machine of Sin16 ° 10010020X62W, , every case shift measures K=0.
× of Ba"=arcsin(pmnZ/40ti)=arcsin(p of helix angle of 05mm affirmatory computation 6 × of × of 3 × 26/40 3.
7)=16.
0187 ° get L=35mm through measuring; D=+0.
236mm computation error compensates horny G G=arctg(dcosba"/L)=arctg(0.
236 × Cos16.
0187 ° / 35)=0.
The actual helix angle that 3713 ° gear ages the top is in the G=16 of affirmatory Ba=ba"t ± of Ba.
0187 ° + 0.
3713 ° =16.
39 ° gear (reference circle is in) the affirmatory B=arctg[(Ra-mnha)tgba/Ra]=arc[(86 of helix angle B.
87/2-3 × 1)/(86.
87/2)]/tg16.
39 ° =15.
Test and verify of 847" of ° of 313 ° =15 calculates: The tine of gear carries × of round diameter Da=mnZ/cosb+2mnha=3 on the head 26/cos15.
313 ° + 3 × of 2 × 1=86.
26)/cos15 of × of Df=(mnZ)/cosb-2mn(ha+c)=(3 of round diameter of root of 87 tine teeth of a cogwheel.
313 ° - 3 × of 2 × (1+0.
25)=73.
371 computation result and measure dimension conform to. CNC Milling