2nd Annual International Conference on Advanced Material Engineering (AME 2016)
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1 n Annual Inenaional Coneence on Aance Maeial Engineeing AME 6 Teoeical Suy on Inluence Facos o e Angle o Inne Hole Geneaix oug Cone Hole Open-ie Col Exusion Lei MA,a, Peng-Biao HAN,b,*, Xiao-Lei JI,c, Yu-Xi CHEN4, Jian-Ying CUI5, Su-Ling LU6, Jun LI7,,,6 College o Maeial Science an Engineeing o Hebei Uniesiy o Science an Tecnology, Sijiauang, Cina 4,5 Juli Sling Copany Liie, Baoing, Cina 7 Hebei GEO Uniesiy, Sijiauang, Cina a 4644@qq.co, bpb68@6.co, c5@qq.co *Coesponing auo Keywos: Cone Hole, Open-ie Col Exusion, Uppe-boun Meo, Sea Funcion, Unsable elociy Fiel. Absac. Te plasic eoaion caaceisic o cone ole open-ie col exusion was analye base on e conceps o yoynaics, e sea uncion o insananeous elociy iel was buil. Accoing o e eeinaion o e equaion o sea uncion, e kineaically aissible coninuiy unsable elociy iel an e sape an posiion o is elean elociy isconinuiy wee buil. Te acos o elociy iel wee analye. Te eoeical oel o exusion powe was obaine by e uppe bouning eoy. Te acos o e angle o e cone ole geneaix wee analye by pogaing an calculaing. Inoucion Hole acining plays an ipoan ole in acining opeaion. Because o is low poucion eiciency, ig enegy consupion, iiculy in pocesg. Especially, is iiculy in acining inne cone ole. e ecnology o open-ie col exusion was neee, an i s been applie o e acining o eep ine cone ole, special-sape ole, apee pipe, cue geneaix oles an oe pas. Te cone ole open-ie col exusion oing pocess was suie base on e oing ecnology, e ain inluencing acos o e cone ole was eeine. I is signiican o oing ecnology o e cone ole oe by ug open-ie col exusion. Te Esablisen o Uppe Boun Moel Te Concep o Uppe Boun Sea Funcion Meo in e Applicaion o Open-ie Col Exusion Sealine an sealine equaion: a a ceain insan, e elociy eco iecion o eac poin o e spee iel is connece ogee o o a cue, wic is calle sealine. Accoing o e einiion o sealine, in e lui ecanics e sealine ieenial equaion o e ecangula cooinae syse as ollow, : x x, y,, y x, y,, x, y,, x y Te sealine equaion o axisyeic open-ie col exusion as ollow:,,,, 6. Te auos - Publise by Alanis Pess 884
2 Te sea uncion is eine accoing o e coninuiy equaion, a is, saisying e coninuous equaion is e exisence coniion o e sea uncion. Accoing o e coninuiy equaion in cylinical cooinaes, e sea uncion is as ollow: Te elaionsip beween sea uncion an elociy iel as ollow : ; elociy Fiel І Aea is a igi aea, e elociy iel can be iecly eeine. П Aea is e eoaion aea. П Aea elociy iel is obaine accoing o e sea uncion an e elaionsip o equaion sea uncion equaion an sea uncion an elociy iel. Te oeall elociy iel o e exusion pocess is as ollow:, an 5, 4 Fig. Paaee Skec o e Cone Hole Open-ie Col Exusion Selecion o Plasic Deoaion Aea an elociy Disconinuiy Line Figue sows a e plasic eoaion aea is copose o, B, an. Accoing o e einiion o sealine, soul be a sealine, e low o e low ube is eo. Sea uncion Ψ=. Te equaion o as ollow:
3 Analysis o e locaion o. Te peise o e open col exusion ecnology can be aciee is a e bille soul keep a goo igiiy beoe e conac wi e ol, 5. In oe o eeine e locaion an ie o, suppose igi egion І always ake igi anslaion in e ain eoaion sage. Accoing o e geoeic elaionsip, e posiion uncion o an e equaion o as ollow: cos 8 9 Analysis o e locaion o B. B is e sall en bounay line o e pouc, an i will ae sall eoaion in e pocess o sinking. Is eoaion can be ignoe, so i can be eae as a saig line. Calculaion o Plasic Deoaion Powe Plasic Deoaion Powe Deoaion aea elociy iel as ollow: } an an 4 { an an { an { Te equaion o plasic eoaion powe as ollow: ij ij i K W Ineien Powe Te equaion o elociy isconinuiy as ollow: an / Te equaion o ineien powe as ollow: πσ W s Ficion Powe Te equaion o elociy isconinuiy as ollow: 886
4 / cos / cos 4 Te equaion o icion powe as ollow: W H s H Toal Exusion Powe / cos Toal exusion powe as ollow: W k α W W W i 6 In e esign o e ol eoaion, i e sie o e blank is known, an only one cooinae a boe aius cooinae syse on e eical axis is no eeine in e inegal uncion an e inegal lii o powe o eac eoaion. Accoing o e uppe boun eo, e can be eeine by opiiing e uppe boun powe, eeby e geneaix cone ole can be eeine. Ten e leng o e pa ae e exusion is obaine accoing o e coniion o consan olue. Te nueical inegaion, powe calculaion an pocess paaee calculaion ae caie ou ug e eo o Gauss ie poins ouble inegal an Gauss ie poin one inegal. Te block iaga o poga an is oie. esuls an Discussion Analysis o Facos o e Cone Hole Geneaix Angle Te ain acos o e cange o e cone ole Geneaix angle ae exusion ae e oiginal ickness o iaee aio o e blank, blank exenal cone angle an sall en iaee ec. Te inluence o ese acos on e cone ole Geneaix angle ae analye an calculae base on eoeical oel, e esuls ae as ollows. Te Inluence o e aio o e Tickness o Diaee o e Blank Te einiion o e aio o e ickness o iaee o e blank is: /D=D-/D D--e sall en iaee o blank --iaee o inne ole o blank Te inluence o e aio o e ickness o iaee o e blank is sown in Fig.. Fig. sows a in e case o oe paaee coniions o no cange, e elaie cone angle γ/β inceases linealy wi e incease o e aio o e ickness an iaee o e blank /D in a ceain ange. 5 Fig. Te Inluence o e aio o e Tickness o Diaee o e Blank o elaie Cone Angle 887
5 Te Inluence o e Blank Exenal Cone Angle Te inluence o e blank exenal cone angle on e cone ole o e pa is sown in Fig.. Figue sows a, e elaie cone angle γ / β subsanially eceases linealy wi e blank exenal cone inceases. Oe Facos Fig. Te Inluence o e Blank Exenal Cone Angle o elaie Cone Angle Accoing o e eoeical powe oula, e cone ole o e pa is no only elae o e aboe acos, bu also o e ol cone angle, lubicaion coniions an aeial popeies ec. Te lubicaion coniions an aeial popeies bo ae ceain inluence on e oing pocess o e powe, bu ae no eec on e oing o cone ole. Conclusion Sea uncion was inouce, an e ynaic soluble unseay sae coninuous elociy iel o e open-ie col exusion o e cone ole was esablise. Base on e elociy iel oel esablise in is pape, e eoeical calculaion was caie ou by ug e uppe boun eo. Te inluence o e ain acos on e cone ole was obaine: e aio o inne ole ape o oue ape o blank e elaie cone angle inceases linealy wi e incease o e aio o e ickness o iaee o e blank wiin a ceain ange; e elaie cone angle eceases wi e blank oue cone angle inceases. eeences LI Jun. eseac on open-ie col exusion oing s oelling an is ecnological paaees applicaion D. Tianjin: Tianjin Uniesiy, 997. Lu Suling. Suy on e poicion o sie an sape o open-ie exusion o eep in cone-ole wokpiece D. Qinguangao: Mase Tesis o Yansan Uniesiy. Li Jun, Han Pengbiao, Zang Suangjie. eseac on elociy iel oelling o open-ie col exusion by sea uncion J. Foging an Saping Tecnology,, :-5. 4 HAN Pengbiao, Lu Suling, LI Jun, Zang Suangjie. Teoeics suy on e poucion o sie an sape o open-ie exusion o eep in cone-ole wokpiece J. Jounal o Plasiciy Engineeing, 8, 4: LI Jun, HAN Pengbiao. Teoeical an expeienal suy on axiu eucion o open-ie col exusionj. Jounal o Plasiciy Engineeing,, 7:
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