NGHIEN CUfU-TRAOeCl THIGT KG MAY DO GOC NGHIGNG BANH RANG TRU KIGU CO DIGN TUf DESIGN O F T H E DEVICE FOR MEASURING T H E ANGLE OF INCLINATION OF CYLINDRICAL GEARS W I T H HELICAL TEETH IN A MECHATRONICS APPROACH Pham Thanh Long Khoa Cd khi, Trfldng Dgi hpc Ky thuat Cdng nghiep - Dai hpc Thai Nguyen TOM TAT Trong khdu sdn xudt hoac kiem tra bdnh rdng tru rdng nghieng, goc nghieng Id thdng so quan cdn nhdn biet vdi dd ehinh xdc cao Cdc mdy CMM co the thda mdn yeu cdu ndy, song cdng khdng phdi la chUc ndng vdn cd cua nd Mat khdc, mdy rdt ddt tien, khdng phdi cd sd sdn xudt ndo cdng dUdc trang bi Bdi bdo ndy gidi thieu mgt mdy chuyen dung gdc nghieng bdnh rdng kieu cd dien tU, dd trinh bdy edc tinh todn cdn bdn ve chinh xdc toi thieu cua cdc cdm bien ldm viec phdi hdp dUa tren ddng hgc mdy Vidu trinh bdyeho thdycd the chu ddng dieu chinh chinh xdc ciia mdy thiet ke theo nhu cdu sdn xudt ABSTRACT In the production or testing cylindrical gears with helical teeth, the angle of inclination is a very important parameter that needs to be identified with high accuracy The CMM machines can meet this requirement, however this work is not their inherent function and the machines are very expensive also This paper introduces a single purpose machine for measuring the angle of inclination of cylindrical gears with helical teeth in a mechatronics approach, including fundamental calculation of the minimum accuracy of the sensors that work eoordinately based on kinematics of the measurement device The example in this paper shows that we can adjust the accuracy of the designed machine flexibly according to the production demand TAPrHirrf KHf Vl|T NAM V So (Thing nam 2012) NGHIEN Cl/U-TRAO DOI I.DATVANDE banh rang trp rang nghieng gia cdng, ngfldi ta quit dfldng sinh thin khai theo dfldng chuin li dfldng xoin vit tru de tgo hinh mil rang Dfldng xoin vit niy dflpc hinh thinh dpa trin cp=^rctg{-—)\ EA Vdi dp chinh xic yeu ciu li 10 giay tUc li sai so ciia ket qua gde [3 cho phep tdi da la 10 giay, ddi ddn vi dp ta ed dp chinh xie cua gde (3 li: A^ = J L 0.00278" /g( A^) - /g(0,00278") = 0,00004848 3600 So nguyen tac miy dfldc de xuat nhu hinh ve: Mat khae ham tg{t,) CA tfl ket qua tinh dp ehinh xic d tren ta se xac dinh dd ehinh xac tg{Ap) cua EB v i EA theo edng thflc sau: tg(Ap) = EB'.AEA-+EA-.AEB- >tg(Ap)'.EA-'=EB-.AEA=+EA=.AEB'; (I) Hinh 2: Sd nguyin ly mdy goc nghieng TINH TOAN B O PHAN GIAI CUA CAC CAM BIEN LAM VIEC PHOI HOP Tren may EA= 120mm thu chung toi lay EB = a ^ 360 a Bai toan ngi^oic xac dinh chinh xac cua cac cam bien Co the thay so nguyen tac bam sat dong hoc may gia cong banh rang kha don gian, song bai toan phiic tap nhat d day la xac dinh phan giai cua cam bien dich chuyen tinh tien (luong AE tren hinh 1) va dp phan giai c i a cam bien cung BE tren hinh d miJc toi thieu chiing lam viec phoi hop v6i de cho mgt tham so dan xuat tren co sd phoi h a p hai tham so che Trong d = 150 mm, a o day chpn bang 60°, vi thong thuong goc nghieng cua banh rang tir khoang 20"- 40°, tir , 3,14.150 „ , = 78,5mm EB = 60.-^ Tit cong thiic (1) thay rang dp chinh xac nho nhat cua doan EA dat duoc phep cung EB CO dp chinh xac tuyet doi (khong co sai so) tutc^ TA P CHf r n KHf VlftT NA M V S6 (Thing nam 2012) NGHIEN Cflu - TRAO DOI '^ EB - ^^^^ ^ llg(A|3)'.EA'^l-A=.AEB' ^lg(Apf.EA'=EB=.AEA;,„ ' tg(AP).EA" 0.00004848.120' „„„„„„ AEA - ' = -0.()088'>mm: EB 78.5 NgUpc lai, dp chinh xac nh6 nhat cua cung EB dat dupc phep doan EA c6 sai so bSng 0, tClc la EA =0 =>tg(Ap)M.A' = E A \ A I B ; „ , -" \EB„„ =lg(,\|!)l:A S A E B „ „ =0,00004848,120 - \1-B„„ =0.00582mm: Tii hinh co EB la dp dai cung m^ gia tri cam bien dupc li g6c a co: Sa ;rd Theo cac lUa chpn d tren thi cam bien g6c quay co dO phin giai 17 bit, cim bien di chuyen dau co dp phan giii 15 bit, dp chinh xic lan lupt 14 0,00275" v i 0,00366 mm Dp chinh xic cua p h i p tinh Tang dupc tinh theo cong thilc sau: / EB-AEA' + EA-.AEB\ EA' Trong do: Mat khae, ducing kinh Idn nhi't co the dupc la d= 150mm Vay dp chinh xic nho nhat cua cim bien thtf can dat dupc li: 360.0,00582 b Xac dinh d0 chinh xic p h i p qua bii toan thuan g(AP)= 360.A£B,.„ ^ = A£B 360 I'" lo.00004«5= 120' - 120'.0,0036' „ „„_ _ I— ; • O.OOVmm Y 78,5' EA=120mm, EB = 78,5mm AEB = A a — = 0,00275 ^ i ^ i ^ = 0.0036(mm) 360 360 AEA = 0,00366(ram) „„,,^ 3,14.150 Vay phai chpn dp chinh xac cua cam bien thoa man dieu kien sau: ,^(^p^^^78,5-.0,O0366^.120-.O,0O36-^3^^3,„., Ap = arctg(3.603 10^) = 0.00206" =7.43" Aa