PLANAR KNOTTING MECHANISMS FOR TURKISH HAND WOVEN CARPET
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1 PLANAR KNOTTIN ECHANISS OR TURKISH HAND WOVEN CARPET E THEORY O ACHINES INSTRUCTOR:POR.DR.TECH.SCI.RASI ALIZADE ASISTANT:RES.ASST.OZUN SELVI :ROUUP EBER NAES: AHET APAK 7 SERKAN CİLARA DENİZ ÖZÜN 6 LEVENT AKIN EHET ERE ÖZAN
2 ABSTRACT Th pob tht too uch t ndd whn wvng hnd d cpt b hnd. To ov th pob, fu utotd ctochnc t dgnd nd dvopd. At ft, pt of th t condd nd dgnd ch th pt. Scond, ntc,dnc nd foc n ccuton d b th pn fou-b ng of th t. Nt tp nufctung nd choong th t of th t. Dn nd th covo oto th n t of th b pt nd ng,ft tht dng nd ng th dn, covo oto put n th chn. utho, g of th chn chon nd th gound pt of th t dd ccodng to tho g. n, chn ttd nd ovd th no pob whch b ocu n th connctng pt uch bot. A ut, ung th nd of fu utotd ctochnc t nc th poduct pd nd th no nd th too uch po foc to wv convnton cpt.
3 -INTRODUCTION Cpt cn b cfd ccodng to th nufctung thod. Th thod td wth pct to how th poducd. So cpt hndd, wh th oth poducd b utotc chn. Th nub of cpt wvng oo whch wo t hgh pd h ncd ong wth povng tchnoog ov. On th oth hnd, hndd cpt wovn b hun hnd du to th fct tht th tchnoog of hndd cpt h not chngd ov thound of. Th th pob tht th pp w b nttd n o tht hndd cpt cn b poducd b fu utotd ctochnc t. Hnc, th tdton hndd cpt cn b ud o wd. Th ttu of hndd cpt fod fo ndpndnt not. In od to wv hndd cpt, two tp of not ud; on Tuh not o doub not hown n fgu nd th oth Pn not o ng not cn b n fo fgu b. Th dffnc btwn th two not th Tuh not d tong nd o dub cpt.
4 Th poct to dgn nd nufctu pn nottng chn. Th th ptd pt to dgn th chn. t pt tuctu nth of chn whch cont of dcbng oton of wong ogn tht nd gpp, tuctu nth of chn nd nton of th tchnoog poc. Scond pt to dgn ng chn. Th pt ncud ntc nth of chn nd ntc n of chn; fo ntnc, dfnton of poton, n voct nd ccton on th wong pont of th n nd dfnton of ngu voct nd ccton of th n. In thd pt, tngth n of ng w b fgud out. Scton of t, ccuton of th co cton of n, ntc n of chn wth of n nd ccutng ctuto foc o ont, cton of th oto, cton of th oth chnc nt uch bng, bot nd tc. w b tn nto ccount n th pt. n, whn vthng condd, w w nufctu th n ccodng to tchnc dwng whch ou dgn of th pn nottng chn.
5 .INORATION O CALCULATION PART: IURE - KNOTTIN ECHANISS WITH EARS Dgn Pt: Jont Pt: Ogn Coodnt St: - - θ O X Y nd O X Y - θ - θ - θ =θ 4- Z ont ==> P to ch oth. So α = nd d =. α twt ng, d ont dtnc.
6 θ pt gnnt bt. U uppoton thod fnt outon vb. O O OO OO OO *cop po notton *wtng dffnt co n co n co n co n *pt nd gn pt co. co co co co n. n n n n *t both d qu nd dvdd togth co n co n co co n co n co *=,, t of poton. *Th unnown==>,,
7 P f P f P f P4 f 4,, P P f f f co co n n P P 4 f 4 co P 4 P P *Intoducd q. fo upp nonn q.+ wth th 4 P quton, w hv 4 unnown nd 4 quton P f P f P f f 4,, P P n Equton In th quton contnt pt P n n tht th pt n popoton wth non-n pt foow P,, nd nonn pt U th quton n gn quton f f f,, f f f f 4 u c u Subt. p P fo, gv cond od quton q p q
8 In pono quton u P vu : P.5 P P P P P P To ov th quton, th b upton tht th pcon: Thn ccut [ f,,,, coun vcto [ [ f 4. Up to now, cn t how th ccuton fo dgn nd nufctung pn nottng chn fo Tuh hnd wovn cpt tchnoog poc don. Now, w cond to ov n p bout th u. CALCULATION PART: t, w cn pc th fou pt,,, nd ,54,6 W cn up th tb fo ntv tht ou vu : [5 c nd c
9 n fo of th quton whch w u t th ccuton: [ co n [ co n [ co[,, Stuton- [.co 75.n 75 [.co.n [ co 75,74 [ Stuton- [5.co 75 5.n 75 [5.co 5.n 9,54 co 7 5,58 5,49 849,955,69 [ Stuton- [.co 75.n 75 [.co 5.n 5,6 co 5 75,6 5,54 9,96 [ -,74-5,58 5, ,955,69 -,6 5,54 9,96 utp b ; -,74 5,58 5, ,955 -,69,6 5,54 9,96 - Wt th
10 P,74 5,58P 5,499P P 849,955P4,69,6P 5,54P P 9,96P4 Wt t,74 5,58 5, ,955.69,6 5,54 Wt th pt nd pt dffnt 9,96,74 5,58 5,499,69 5,58.6 5,499 5,54,74,69,6 5,54 5,58 5, ,955 5,58.6 5,499 5,54 849,955 9,96.6 5,54 9,96 o th t quton w cn fnd;,74,9,585, 6,79
11 p,585 6,79 9,8 q,9 6,79,,585,55,9, 6,8 * 4 p q 9,8,55,68 b 4c,55 4.9,8.,68,7 o th two oot., b,,55,7.9,8,55 nd, 4 o, 55 : p,74,55.,74 p,9,55.,585,59 p,,55 6,79,58 **CASE p p,58,87 p p,59 6,949,74,5 [ p p p p p [ 6, 99,5,48 6,666
12 o, 4 p,74,4.,74 p,9,4,585,64 p,,4 6,79,74 **CASE p p,74,64 78,49,67 p,74 [ 8, 45,64,74,64,74,5 [ p p p p **RESULTS 78,879 65,46 5,688
13 -KINEATIC ANALYSIS O ECHANIS: Pt : IURE - ONE SIDE O ECHANIS O, 8 O O, O O, O O, O Dw n btwn O nd O O O, Loop Cou Equton IURE - VECTORAL SHOWN O ECHANIS
14 8 co co co pt 8 n n n gn pt B tng qu of to quton nd ddng th ch oth, w w gt; c c c c co co tn n co n co n n tn [ co co n n tn [ co co co 8 co n8 n co 8 co n 8 n - co co co n 5 n co co [ - co co co n co co co [
15 Aft obtnng unnown: Loop cou quton; nd unnown. co co pt n n gn pt n n co co pt n n gn pt n n Loop cou quton; -
16 İgn pt ; c c co n co - İgn pt; c c co n co 4-DYNAIC ANALYSIS A of qud quton hv bn found n ntc n pt. Th 7 qud pt. Th,,,,,. To fnd th unnown, n nght nd o ng, found o dcdd b ung bfo. Th ; 8, 75, 78, 5 5, 8, 45,, 5, 688,?, 65, 46, [ co [8,45 5,688 8,455,688 co5 74, 464 tn n [ co n co tn 8,45 n 5 [ 8,45 co5 5,688 n 5,688 co tn [ 6,95 4,777 5
17 9,54 974,76 75,58 [ co 5 74,46465,46 78,5 65,46 74,464 [ co 5 [ co 4, n9,54 n5 65,46 8,45 n n cw n count cocw + dcton, n cocw - dcton. 55, 9,54 n 9,54 n5 5,688 8,45 n n ccw ,, ,55 44,5 5855,9 n co co n co co 65,46 n9,54 co9,54,4 65,46 5,688,55 co5 8, ,,88 58,5 586,4 47,
18 IURE -4 RIPPER AND TWO LINKAES R o o 8,45 co5 8,45n5 58, 58, R o 9,5 9, 5 R o o,67 co,67 n,4 5, 67 R o 6,7, 8 R o o 65,46 co9,54 65,46 n9,54 6,87 4, 9 R o,95 7, 95 CALCULATION O ACCELERATIONS; o Ro Ro cn ott t contnt pd ˆ ˆ 9,5 9,5 ˆ 9,5 9,5 9,5 9, 5 o o Ro o Ro o o ˆ ˆ 58, 58, 58, 58, o Ro Ro
19 58, 58, 65454,4 ˆ 6,7,8,55 ˆ,55 ˆ 6,7,8 58, 58, 5846, ,56 86,6 8, o Ro Ro 67494,4 ˆ,95 7,95,4 ˆ,4 ˆ,95 7,95 [554, ,4 75,8 888,6 467,6 59 IURE-5 ORCES ACTIN ON EACH LINK
20 5-ORCES ACTIN ON LINKAES IURE-6 ORCES ACTIN ON LINKS V n 65,67, V hod 85, V gpp.55 V n 979,, hod V 8, V gpp n Vn. 979,.,459 g, 86 g hod Vhod. 8,459 g, g gpp Vgpp,459 g, 4g n. AB n hod. AC hod gpp gpp. AD,6,8,64 5,7 9,
21 o n g gpp hod n 64, N g W 6, 9,8,64. D I C I B I I gpp hod n gpp hod n 4 5, 8,,67 6 gpp hod n I I I gpp hod n ,94 45,7,49,,64,. 7, g I o n. V N g W g V 4,.,5 47,5 658, , 8,45 6 g I o n 78 96, 6565,46. V V N g W g 7,6, ,46 6 g I LINK W W ,6,78 7,6 g 9 6, 8,6,6 7 [ o o o O I R W R 4,9 6,87 6,9 8,6 7,6 7,,9 I ˆ 67494,4 ˆ 4,9 ˆ 6,87 ˆ 96,46 ˆ 9,5,869 6
22 5 4,9 6,87,869 [ LINK W, u 5N 5N W,64 8, R o o R W R I o o o,4 5,67 5N 6,7,8 6, N 5,45,7 8, ,4 48,ˆ,68 ˆ 5,45 ˆ ˆ,7,4 [ Equton 4,9 5 6,87,869 Equton,7 5,45 48,8, 4 Sovng Th quton.,869 48,8,4 5,45 4,9 6,87,7 5 5,45 6,87 787,9, 9,96 6 Subttut nto quton to gt 7,4 78, 7 Subttut nd nto quton 7,6 8,6 6, 9
23 8, 6 78,4 666, 6 7,6 6, 9 7,4 464, o Ln 5N 78,4 7888,8 7,4 78,7 6, 7,4 77, 78,4 7888,8 7, 4 78,4 785, 7 5 7,4 78,7 6, 77,,4 94, 4 LINK R o W R o Ro o I 58, 9, 9, 58, 4, 78,4 785,7 9,,4 9, 94,4, ˆ 886,7 967,7 ˆ, ˆ,9,9 456, ˆ 6448, , 7, W,,, 78,4 785, 7 4,,,6 94, 5
24 6-CONCLUSION Th Poct cont of ccuton, dwng nd nufctung pt.t, n ccuton pt th ngth of n w found.thn ntc nth, dnc nth nd foc n of th chn w don. In od to bgn nufctung pt, w dgnd th chn nd dw b ung Sodwo. Conqunt, w ttd to nufctu th pt of ou chn wth pct to tchnc dwng.thn w b th pt nd vooto puchd. So w chvd to nufctu th pototp of nottng chn.
25 REERENCES -Sho P. S. Kod, D. nd Kb, J. on th optu nth of fou b ng ung dffnt vouton nd th gotc cntod of pcon poton.j. Inv Pob. Engnng. -Atobov, J. I.chn n odn ng dgn -Robnon.. Cpt nd oth tt foocovng 4-Ang,J ch Kntc Snth,Lctu Not, Cnd 5-Chbhv, P. L. Tho of chn nown b n pog. 6-No H Hunt K. H. Optu nth of pn ng to gnt 7-chn Dgn,An nd Snth Edn A. nd Sndo 8-Opt chn dgn ung nto pont thod ch Tho Zhng,X.,Zhou 9-oc Wton dvncd tt dgn -Kntc An nd nth of nottng chn cn b ud n th poducton of hndd cpt Topboğu,.
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