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Application of composite materials in sports optics

Kupčák, Radim; Zouhar, Jan

Abstract

CFRP (Carbon Fiber Reinforced Polymers) are often used when designing parts that need to be stiff, light and thermally stable. These benefits are a big motivation to use CFRP in many applications, one of them could be sports optics. However, optical devices require precise dimensions with tight tolerances for the optical assembly to work correctly. In order to determine if CFRP could be a suitable material of choice for sports optics a simplified body of binoculars was designed. The tubular body was manufactured by prepreg lay-up into a 3D printed mold, followed by curing in an autoclave. After the prototype was manufactured 3D measurements of the tube using 3D scanner GOM ATOS were made. As expected, shrinkage of the mold and the epoxy resin in the matrix of CFRP caused minor deformations. However, if the shape of the cured part remains unchanged during conditions similar to the general use of binoculars, then the initial deformations happening during manufacturing could be accounted for when designing the part. © 2020 Manufacturing Technology. All rights reserved.

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J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 200 indexed on: h p://www.scopus.com DOI: 10.21062/m .2020.038 © 2020 Manu ac u ing Technology. All igh s ese ed. h p://www.jou nalm .com Applica ion o Composi e Ma e ials in Spo s Op ics Radim Kupčák, Jan Zouha Facul y o Mechanical Enginee ing, B no Uni e si y o Technology, Technická 2896/2 616 69, B no, Czech Re- public, E-mail: 170299@ u b .cz, [email p o ec ed] CFRP (Ca bon Fibe Rein o ced Polyme s) a e o en used when designing pa s ha need o be s i , ligh and he mally s able. These bene i s a e a big mo i a ion o use CFRP in many applica ions, one o hem could be spo s op ics. Howe e , op ical de ices equi e p ecise dimensions wi h igh ole ances o he op ical assembly o wo k co ec ly. In o de o de e mine i CFRP could be a sui able ma e ial o choice o spo s op ics a simpli ied body o binocula s was designed. The ubula body was manu ac u- ed by p ep eg lay-up in o a 3D p in ed mold, ollowed by cu ing in an au ocla e. A e he p o o ype was manu ac u ed 3D measu emen s o he ube using 3D scanne GOM ATOS we e made. As expec ed, sh inkage o he mold and he epoxy esin in he ma ix o CFRP caused mino de o ma ions. Howe e , i he shape o he cu ed pa emains unchanged du ing condi ions simila o he gene al use o binocu- la s, hen he ini ial de o ma ions happening du ing manu ac u ing could be accoun ed o when desig- ning he pa . Keywo ds: Ca bon Fibe , Spo s Op ic, P ep eg, Composi e Ma e ials, 3D scan In oduc ion Composi e ma e ials, speci ically CFRP (Ca bon Fibe Rein o ced Polyme s) ha e ecen ly become mo e and mo e accessible as a s uc u al ma e ial. They ha e become so wide-sp ead because o new echnologies ha make manu ac u ing and use o CFRP cheape and mo e con enien . These new ech- nologies o en o e high le els o au oma ion and sho p oduc ion imes. This allows o use o compo- si e ma e ials in mass p oduc ion indus y segmen s such as lowe -end ehicles p oduc ion, which has no been he case ea lie . Tha can lead o signi ican weigh educ ions, which could compensa e o he ba e y weigh in elec ic ehicles, making hei o e all weigh mo e easonable. [1] On he o he hand, he e a e many composi e ma- nu ac u ing echnologies based on hand lay-up. Al ho- ugh hey migh seem ou -da ed, hey a e well sui ed o manu ac u ing o la ge -scale pa s o small-se ies p oduc ion in gene al. CFRP is used in many b anches o enginee ing inc- luding consume goods and spo s equipmen wi h he main bene i s being weigh sa ings and igidi y. I may come as a su p ise, ha in spo s op ics composi e ma e ials ha e no ound a use ye . Bu compa ed o i ea ms o example, (whe e ca bon ibe is some i- mes used o make ails ocks o handgua ds), spo s op ics de ices equi e di e en kinds o p ecision – in some cases ole ances in mic ons. Ca bon ibe composi e has densi y o a ound 1,7 kg/m3, which is simila alue o magnesium alloys and lowe compa ed o aluminum alloys (2,7 kg/m3 o 6061). Howe e , CFRP has much highe s eng h. [2 ] A compa ison o composi e ma e ials and me als is no s aigh o wa d because o many a iables in de- sign o composi es. Because o ha i is no possible o p edic po en ial weigh -sa ings o CFRP binocu- la s. I would be a ec ed by he numbe o laye s, hei di ec ion and ype o ibe s and ma ix used. These pa- ame e s would ha e o be ca e ully chosen and hen es ed on a p o o ype piece. This pape has been made in coope a ion wi h Czech manu ac u e o op ical de ices (including spo s op ics), Meop a - op ics, L d. In Meop a ca bon ibe has been used as s uc u al ma e ial in many ap- plica ions, bu spo s op ics ha e no been one o hem ye . The pape ies o ackle he ques ion, whe- a e CFRP could be used a all o de ices o spo s op ics and analyses esul s o chosen manu ac u ing echnology. Binocula s ha e been chosen as a model de ice o he ca bon ibe o be used on. A simpli ied p o o ype was designed o de e mine i i would be possible o manu ac u e binocula s-shaped body ou o ca bon ibe a all. I lacks a ew key ea u es and componen s o binocula s – o example, op ical p isms o ocusing mechanism. Bu i wo ks as an exhibi ion piece and p oo o concep in e ms o manu ac u ing. The main pa o he p o o ype – ca bon ibe ube was 3D scanned wi h GOM ATOS – op ical 3D scan- ne . The p o o ype mold used o make he pa was scanned as well. The esul s we e compa ed wi h he CAD model and he de ia ions we e e alua ed. J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 indexed on: h p://www.scopus.com 201 Design o he binocula s p o o ype In he beginning, i was necessa y o examine he possibili ies o manu ac u ing echnologies. Winding is a echnology ha was conside ed a i s . Because o i s na u e, i is mos ly sui able o pa s wi h ci cula symme y. Al hough i is possible o manu ac u e mo e complica ed shapes by winding, i o en b ings many p oblems. [3] The main ad an age o winding is p ecise con ol o ibe o ien a ion. I is c ucial o pa s wi h high s i ness and s eng h in one di ec ion. Howe e , o binocula s, all-a ound du abili y and e- sis ance o impac s, ib a ions and o he dynamic lo- ads, is mo e impo an . Žmindák [4] analyses he e ec o ibe o ien a ion on mechanical p ope ies o composi e ma e ials du ing dynamic loads. In he end, p ep eg lay-up was selec ed as he ma- nu ac u ing echnology o choice. I is mo e e sa ile in e ms o a ainable shapes and because an au ocla e was a ailable i was mo e cos -e ec i e. Ano he big a gumen o using p ep eg lay-up is he inse wi h p o usion, Fig. 1 and Fig. 7. I would be e y p oble- ma ic, i possible a all, o wind ca bon ibe s a ound he p o usion. Au ocla e cu ing allows o co-cu ing he pa wi h he inse , which is e y con enien and qui e a unique ea u e o his design. [5] The binocula s p o o ype (Fig. 1) consis s o wo CFRP ubes wi h 6061 aluminum alloy inse s. These inse s a e glued in he ubes and hey p o ide in e - ace o he objec i e and eyepiece o be moun ed. In he middle o he ubes, he e is he co-cu ed polyca - bona e inse (3D p in ed) wi h a cube-shaped p o u- sion. The inside s uc u e o he ube can be seen in Fig. 2. The p o usion ac s as an in e ace o he hinge pa s o be moun ed and glued on o he ubes. Fig. 1 Binocula s p o o ype Fig. 2 S uc u e o he binocula s p o o ype Manu ac u ing o he CFRP ube using p o o ype mold A p o o ype wo-piece nega i e mold om poly- ca bona e (PC) was designed o manu ac u e he ube [6]. The shape o he mold was compensa ed o ac- coun o he mal expansion o he mold ha happens a 120° C when he epoxy esin is cu ing. The olume ic he mal expansion o mula was used: ∆𝑉𝑉  𝛽∆𝑡 (1) 𝛽3𝛼 (2) Whe e: ∆V … Change in olume [m3], V0 … Ini ial olume [m3], β … Coe icien o olume ic expansion [K-1], ∆ … Change in empe a u e [K], α … Coe icien o linea expansion [K-1]. The coe icien α o PC is 68,4 x 10-6 K-1 [7]. The mold was 3D p in ed ou o polyca bona e using p o- essional-g ade 3D p in e S a asys Fo us 360 L (Fig. 3). The su ace o he mold was hand inished wi h a ine-g i sandpape . The alignmen o bo h pa s is secu ed wi h wo cen e ing pins ha i in holes, which we e inished wi h a eame . Gene al dimensions o he mold can be seen in Fig. 4. Fig. 3 Two-piece mold Be o e lay-up sealan and elease-agen we e ap- plied o hose su aces o he mold, which will be in con ac wi h p ep egs. Fo he lay-up, ou laye s o p ep egs om Del a P eg ha e been applied [8] – wo shee s o GG380 DT121 and wo shee s o GG245 DT121, Table 1. Laye s o ca bon ha e been layed up in bo h hal es o he mold o c ea e symme ic and balanced lay-up, Figu e 5. Whe e he wo pa s o he mold mee , he p ep egs we e o e lapped by 10 mm. Se e al o he lay-up s yles we e es ed in he p ocess. The pa was bagged, acuumed and cu ed in Ma oso au oma ic au ocla e (diame e o he chambe 1 m, leng h 2 m). The hea and p essu e cycles a e shown in Fig. 6. A e manu ac u ing 10 pieces o ubes, he 3D p in ed mold was a he end o i s li e. J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 202 indexed on: h p://www.scopus.com Fig. 4 Mold dimension Tab. 1 Lay-up scheme Mold 245 g/m2 ±45° 380 g/m2 0°, 90° 380 g/m2 0°, 90° 245 g/m2 ±45° Peel Ply Sepa a ion laye B ea he clo h Vacuum bag Fig. 5 P ocess o lay-up A e cu ing, he ube needed o be inished. Faces o he ube we e milled and he emains o pa ing line we e sanded o . Milling composi e ma e ials equi es special ools wi h di e en geome y o ools ha a e used o machining me als. Because only 10 p o o ype ubes we e made, egula ools ha e been used. Be- cause o ha , ool wea was apid and he su ace i- nish wasn' sa is ac o y. The pa needed o be hand- inished. In p oduc ion on a g ea e scale, p ope ools and op imized cu ing speeds would ha e o be used. [9] Fig. 6 Au ocla e p essu e and empe a u e cycle Fig. 7 Finished ube wi h inse s glued in place J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 indexed on: h p://www.scopus.com 203 The las s ep o he manu ac u ing p ocess was gluing he h eaded inse s (Fig. 7). Because he main pu pose o his p o o ype was being displayed as an exhibi ion piece, achie ing he concen ici y o he in- se s was no necessa y. Howe e , his would be a c u- cial pa ame e in eal, p ope ly wo king binocula s. Concen ici y could be secu ed wi h alignmen jig o by u ning he inse s a e gluing. 3.1 The p ocess o 3D scanning The mold and he ca bon ibe ube we e measu ed using an op ical 3D scanne GOM ATOS. The pa s we e sp ayed wi h an i-gla e sp ay. I lea es empo a y ma whi e inish. Sel -adhesi e e e ence poin s we e placed on he su ace o he pa . [10][11]. Fig. 8 3D scanning o he ube To ensu e e en scanning, he pa s we e placed on o a p og ammed u n able du ing scanning (Fig. 8 andFig. 9). Resul o he measu emen s was a polygo- nal mesh ha was expo ed as a STL ile. Fig. 9 3D scanning o he mold 3.2 E alua ion o da a The measu ed da a was e alua ed using so wa e: GOM Inspec and Mic oso Excel. In GOM Inspec a .STL ile was impo ed. The alignmen o he ac ual da a wi h he CAD model was made wi h Local Bes Fi on he conical pa o he ube. Acco ding o equi- emen s by Meop a o ge a comple e opog aphy o he mold, c oss-sec ions wi h in e als o 10 mm we e c ea ed ac oss he pa in GOM Inspec . In each c oss-sec ion measu emen s e e y 5 deg ees we e a- ken (Fig. 10). The analyzed mold in he GOM Inspec en i onmen can be seen in Fig. 11, esul alues discussed in chap e 4. Fig. 10 Measu ed c oss-sec ions and poin s o he mold J uly 2020, Vol. 20, No. 2 MANUFACTURING TECHNOLOGY ISSN 1213–248 9 204 indexed on: h p://www.scopus.com Fig. 11 Di e ence epo mold wi h CAD model Fo he ube, he same me hod was applied wi h one di e ence - he measu emen s we e aken a ound he ull ci cum e ence o he c oss-sec ions (Fig. 12). The c oss-sec ions o he pa and he mold align wi h each o he . The ube in he GOM Inspec en i on- men can be seen in Fig. 13. Fig. 12 Measu ed c oss-sec ions and poin s o he ube J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 indexed on: h p://www.scopus.com 205 Fig. 13 Di e ence epo ca bon ibe ube wi h CAD model Resul s In he ollowing chap e , he esul s a e analysed and discussed. 4.1 Mold Only a small sample o measu ed poin s is eco - ded in able 2. Fig. shows he chosen coo dina e sys- em in e ms o he angle alue o he poin s in each c oss-sec ion. Poin s wi h ± 90° angle we e excluded om he sample because o he cham e on he edge o he mold. The a i hme ic mean c oss-sec ion is calcula ed om all measu ed c oss-sec ions, no only he ones eco ded in able 2. Fig. 14 Dimensioning o measu ed poin s on he mold Tab. 2 De ia ions o poin s o he mold Angle [ ° ] De ia ion [ mm ] o a ious c oss-sec ion 25 mm 65 mm 95 mm 125 mm 155 mm A i hme ic mean c oss-sec ion -85 -0.20 -0.31 -0.28 -0.31 -0.38 -0.294 -80 -0.16 -0.27 -0.21 -0.26 -0.33 -0.246 -75 -0.15 -0.21 -0.15 -0.20 -0.28 -0.198 -70 -0.13 -0.18 -0.10 -0.14 -0.24 -0.162 -65 -0.09 -0.15 -0.05 -0.10 -0.23 -0.130 . . . . . . . . . . . . . . . . . . . . . 55 -0.02 -0.07 -0.09 -0.03 -0.12 -0.076 60 -0.06 -0.11 -0.12 -0.10 -0.20 -0.124 65 -0.07 -0.16 -0.16 -0.19 -0.31 -0.178 70 -0.10 -0.20 -0.20 -0.26 -0.39 -0.226 75 -0.13 -0.22 -0.26 -0.31 -0.47 -0.269 80 -0.15 -0.25 -0.31 -0.39 -0.55 -0.317 85 -0.20 -0.28 -0.37 -0.43 -0.62 -0.370 J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 206 indexed on: h p://www.scopus.com Fig. 15 plo s alues o de ia ions om able 2. La ge de ia ions o alues abo e ± 50 ° can be ob- se ed. I sugges s signi ican wa page o he mold in he a ea nea he pa ing line. The mold had endency o close in on i sel . Because he 3D scanning was ca ied ou a e manu ac u ing 10 CFRP pa s in he mold, i is no clea whe he he wa page happened di ec ly a e 3D p in ing o was a esul o hea cycles in he au ocla e. The wa page o “C-shaped” pa s is common due o s ess dis ibu ion in hese pa s. As a esul , mea- su ed cylind ici y on he wide end o he mold (Fig. 11) is 0.24 mm. Fig. 15 De ia ion o measu ed poin s in di e en sec ions As can be obse ed on he “A e age c oss- sec ion” - alues he ca i y is on a e age smalle han he nominal alue om CAD da a (0 on he y-axis in he plo ). This is due o olume compensa ion o he shape o he mold. which was ca ied ou based on he au ocla e hea cycle (Fig. 6). 4.2 Tube The ube was measu ed in a simila way o he mold (Fig. 16) – sample da a o da a is eco ded in a- ble 3. Fig. 16 Dimensioning o measu ed poin s on he ube Tab. 3 De ia ions o poin s o he ube Angle [ ° ] De ia ion [ mm ] o a ious c oss-sec ion 35 mm 65 mm 95 mm 125 mm 145 mm A i hme ic mean c oss-sec ion -85 0.07 -0.01 0.04 -0.04 -0.19 0.000 -80 0.08 0.03 0.11 0.02 -0.14 0.038 -75 0.08 0.07 0.16 0.08 -0.08 0.071 -70 0.09 0.10 0.2 0.12 -0.05 0.095 -65 0.12 0.12 0.25 0.16 -0.02 0.130 . . . . . . . . . . . . . . . . . . . . . 55 0.11 0.08 0.10 0.25 0.26 0.154 60 0.10 0.07 0.06 0.21 0.20 0.127 65 0.10 0.05 0.02 0.16 0.12 0.087 70 0.10 0.04 -0.02 0.10 0.06 0.056 75 0.11 0.02 -0.07 0.05 0.00 0.032 80 0.11 -0.02 -0.06 0.00 -0.08 0.006 85 0.11 -0.04 0.00 -0.01 -0.12 0.002 In Fig. 17, da a om able 2 a e plo ed. As expec- ed, he shape o he lines closely esembles he su ace o he mold. This esul sugges s, ha he quali y o he ube would be highly imp o ed i me al machined mold had been used. Di ec compa ison o a e age c oss-sec ions o he 3D p in ed p o o ype mold and he ube is shown in Fig 18. Dha al and Pa el p esen a compa ison o pa manu ac u ed by in usion and p ep eg lay-up in hei pape [12]. In hei case, he p ecision o he in used pa was g ea e han he pa made om p ep egs. The e is no appa en sp ing-back o he pa due o i s ubula shape. Pape by Dha al and Gajja [13] deals wi h sp ing-back o “L-shaped” pa s. J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 indexed on: h p://www.scopus.com 207 As he plo s show, he a e age c oss-sec ion o he ube has de ia ions consis en ly abo e he nominal a- lue o he CAD da a. This sugges s, ha he he mal compensa ion men ioned in Chap e 3 does no di- ec ly co espond wi h he eal si ua ion. The ac ha he de ia ion o he ube is g ea e , han he de ia ion o he mold caused di icul y when emo ing he pa om he mold. Fig. 17 De ia ion o measu ed poin s in di e en sec ions Fig. 18 Compa ison o de ia ions o a e age c oss-sec ions o he mold and ube The Following esea ch Mo e esea ch needs o ollow up in o de o examine he use o CFRP in he ield o spo s op ics in a comp ehensi e way. E en mo e impo an han he ini ial p ecision o manu ac u ing is he he mal s abili y o he pa i sel and he bonds wi h o he componen s. I is impo an ha adhesi e ha is used can wi hs and clima ic con- di ions a which binocula s a e es ed. Because o ha empe a u e s abili y es o adhesi e join s es s ha e been designed. Fig. 19 Samples on he alignmen jig Fig. 20 Adhesi e es sample Measu ed samples consis o wo me al cylinde s ha a e glued oge he on a jig o ensu e concen ici y Fig. 19 and Fig. 21. The gap ha is illed wi h glue is 3 mm wide. Because o ha , he long- e m concen ici y o he inne and ou e ube is de e mined by he s abi- li y o he glue. In he u u e, a ious sizes o he gap will be es ed. When he adhesi e is ully cu ed con- cen ici y o he ubes is measu ed on CMM Zeiss Con u a G2 o ge a e e ence Fig. 21. Fig. 21 Measu emen o he adhesi e es sample Tempe a u e es s ollow. The samples will be pla- ced in a clima ic chambe ( ange o empe a u es will be es ed). Concen ici y is measu ed a e e e y es . The i s se o es s has he samples s anding on hei aces. Tes s in he ho izon al posi ion will ollow o J uly 2020, Vol. 20, No. 2 M ANUFACTURING T ECHNOLOGY ISSN 1213–248 9 208 indexed on: h p://www.scopus.com ge esul s wi h di e en ypes o s ess on he glue. The es s a e s ill in p og ess and he esul s a e no eady ye . Ca e ul choice o manu ac u ing echnology o he ubula CFRP pa would be ano he poin o in- e es in u u e wo k. This p oblem needs o be ackled om mul iple poin s o iew. One o hem is o examine which echnology b ings pa s wi h he bes mechanical p ope ies ega ding s i ness and s eng h. Kulha ý deals wi h his p oblema ic in his pape s, in his wo k he compa es expe imen s wi h nu- me ical simula ions as well as compe ing di e en ma- nu ac u ing echnologies [14][15]. Ano he p oblem is he p ecision and s abili y o CFRP pa s. The e is no much esea ch ha has been made a his momen , he impac o manu ac u ing echnology on p ecision and s abili y needs o be quan i ied by expe imen s made wi h a la ge sample o pa s. Conclusion The main pu pose o his pape was o design and manu ac u e a p o o ype sample using a CFRP manu- ac u ing echnology. I se ed as a p oo o concep in e ms o manu ac u ing a binocula s-like body using CFRP. The wo-piece p o o ype mold and he CFRP ube we e 3D scanned using op ical 3D scanne GOM ATOS. The measu ed da a we e e alua ed and com- pa ed o he nominal CAD model. As expec ed, he p ecision o he mold s ongly a ec s he inal p ecision o he manu ac u ed pa . The wo-piece nega i e p o o ype mold men ioned in his pape , which was made om polyca bona e, showed a wa page de o ma ion and as a esul , he ube pa was na owe nea he pa ing line. As ex- pec ed, he opog aphy o he su ace o he inal pa closely esembles he opog aphy o he su ace o he mold. The a e age de ia ion o he mold is nega i e – meaning ha he mold is smalle han expec ed. I is caused by ela i ely high coe icien o he mal ex- pansion o polyca bona e. Du ing he condi ions in au ocla e – 6 ba and 120 °C he ube expanded and a e cooling o he oom empe a u e sh inked. A e cu ing he pa was di icul o emo e om he mold as a esul o small cu e sh inkage o he epoxy esin. These impe ec ions a e accep able when conside- ed he ma e ial and echnology o he manu ac u ing o he mold. FDM is p ima ily an al e na i e echno- logy o p o o ype p oduc ion in he case o molds. Men ioned p oblems would be elimina ed i machined me al mold had been used. 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