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Projecttitle/Jobpositiontitle:Ph.D.FellowshipinEfficientFlankComputerNumericallyControlled(CNC)MachiningwithGenerally-CurvedMillingToolsResearchProject/ResearchGroupDescription.Geometricmodellingoffree-formsurfacesrepresentedbynon-uniformrationalB-splines(NURBS)isstraightforwardusingaproperCADsoftware.Therealchallenge,however, appearswhen thehighly curvedobject is tobemanufactured.Flank (orperipheral)computernumericallycontrolled(CNC)millingisthefinalstageofthemachiningprocesswhere themilling tool touches tangentially thematerial block.Traditionally,themillingtoolsarecylindersandcones.However,usingpredefinedtools is highly inefficient, as they do not consider the input geometry. Recentresearchhasshownpromisingresultstowardsflankmillingwithcurvaturevaryingtools [2]. The aim of this project is to incorporate the optimal geometry of themilling tool into thewholemanufacturingprocess. This involves accessibility andmovabilityanalysis,motionplanning,andshapeandmotionoptimization.Mathematical understandingof the given free-formshape is essential for efficientmanufacturingprocess.Foragiveninputsurface,thereexistregionsofthesurfacethat admit good approximationusing themilling tool and regions that are totallyunaccessible[2].Optimalslopeandsizeofaconicaltoolanditstrajectoryhasbeenstudied recently [1]. We aim to go further this direction and, for a given inputgeometry, design a set of tools together with their motions in 3D to perfectlyapproximatethedesignedshape.Ph.D Advisor: Michael Barton, PhD (Computational and Applied Mathematics,Charles University, Prague, 2007) mbarton@bcamath.org,http://www.bcamath.org/en/people/mbartonTheproposedprojectiscomposedoftwoparts.

a) ThePh.D. studentwill study theaccessibilityanalysisbetweenagenerally-curvedNURBSsurface(referencemodel)andsurfaceofrevolution(millingtool) and will implement algorithms to navigate the predefined tooltangentiallyalongthereferencemodel.

b) ThePh.D. studentwilldesignalgorithms thatwill seek the setof tools andtheir 3D motions to approximate the reference geometry with maximumcoverage.

Keywords:5-axisCNCmachining,Custom-shapedmillingtools,FlankmillingReferences:[1] Bo, P., Barton, M., and Pottmann, H. Automatic fitting of conical envelopes tofree-formsurfaces for flankCNCmachining.Computer-AidedDesign,91,pp.84-94,2017.[2]Bo,P.,Barton,M.,Plakhotnik,D.,andPottmann,H.Towardsefficient5-axisflankCNCmachiningoffree-formsurfacesviafittingenvelopesofsurfacesofrevolution.

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Computer-AidedDesign,79,pp.1-11,2016.[3]Harik,R.F.,Gong,H.andBernard,A.5-axisflankmilling:Astate-ofthe-artreview.Computer-AidedDesign,45(3),pp.796–808,2013.

JobPositiondescription.ThePh.D.studentwilldevelopalgorithmsforflankCNCmachining.Requirements:

- Masterdegree(preferable inAppliedMathematics,EngineeringorComputerScience). The candidatemust have his/herMasterDegree completed beforetheincorporation.

- Applicantsmusthavedemonstratedexcellentcapabilitiesinseveralresearch-orientedprojects.

Skills:

- Goodcommunicationandinterpersonalskills.- Ability toeffectivelycommunicateandpresentresearch ideas toresearchers

withdifferentbackground(e.g.,mathematiciansandengineers).- Abilitytoclearlypresentandpublishresearchoutcomesinspoken(talks)and

written(papers)form.- GoodlevelofspokenandwrittenEnglish.

GroupLeader:➢ FullName:MichaelBarton➢ Email:mbarton@bcamath.org

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INPhINITOffer:INPhINIT targets the most motivated PhD candidates by addressing the researchareas in which Spain excels: Bio and Health Sciences, Technology, Physics,Engineering and Mathematics.INPhINIT recruits per call 57 Early-StageResearchersofanynationality,whoenjoya3-yearemploymentcontractattheResearchCentreoftheirchoiceamongthoseselectedandawardedbytheSpanishMinistryofEconomyandCompetitiveness("SeveroOchoa"centresofexcellenceand"MariadeMaeztu"unitsofexcellence)andtheSpanishMinistryofHealth("CarlosIIIcentres of excellence"). In addition, researchers establish a personal careerdevelopment plan including trasnational, intersectoral and interdisciplinarymobility opportunities, and attend a full range of complementary trainingcoursesandworkshops."la Caixa" Foundation will select international candidates. Subsequently, theselectedcandidates,willproposetheResearchCentreandthepredoctoralpositioninwhichhe/shewouldliketodotheresearchproject.IfthereisagreementbetweentheCentre,thesupervisor(predoctoralresearcherwhopresentedtheposition)andthecandidate,thefellowshipwillbeawardedtothecandidate. Fellowshipprovisions:

- 3-yearscontract- Recruitment date: September / October 2018. January 2019 under

extraordinarycircumstances.- Fundingperfellow:115.092euros

o 104.400euros (34.800eurosperyear) includingsalary,employeesocial security contribution, income taxes and all compulsoryemployers’contributions.

o 10.692 euros (3.564 euros per year) for research costs such asconferencesandworkshopsattendance,short-stays,consumablesandintellectualpropertycosts,amongothers.

- PhDAwardof7.500euroswillbegrantedtoresearchersthatsubmittheirthesiswithin6monthsaftertheendofthefellowship.

- Complementarytrainingprogramme:o TechnologyTransferandEntrepreneurshipworkshopsbyOxentia.o ProfessionalandCareerDevelopmentsessionsbyVitae.o High‐qualityacademicandindustrialsecondments.o Participationinoutreachandsocialevents.

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HowtoApply1. Clickinhttps://hosts.lacaixafellowships.org/finder,clickinRESEARCH

CENTREandchoose“BasqueCenterforAppliedMathematics-BCAM”

2. Click in “SEARCH” and the displayable will list the positions offered

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3. Click in the selected PhD Offer and click in “START THE APPLICATION”

4. The system will open a new window with the application website https://www.lacaixafellowships.org/index.aspx. Click in “Please register” for new applicants.

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5. After the registration, the system will send to you the confirmation email and the link to access into the system. Now you are in the position to access into the application system. Please choose INPhINIT: Doctorate in Spanish Research Centre of Excellence

6. Nowyouare in theposition to fill theapplication form,upload the requireddocumentsandchoosetheprojectthesis.Tochoosetheprojectthesis,clickin“StudiestobePursued”,choosethecentreandtheposition

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Eligibilityrequirements

- Atthepublicationdateofthefinallistofselectedcandidates(29may2018),candidates must be in the first four years (full-time equivalent researchexperience) of their research careers and not yet have been awarded adoctoraldegree.

- Atthetimeofrecruitment,candidatesmustcomplywithoneofthefollowingoptions:

o TohavecompletedthestudiesthatleadtoanofficialSpanish(orfromanother country of the European Higher Education Area) universitydegreeawarding300ECTScredits, ofwhichat least60ECTScreditsmustcorrespondtomasterlevel.

o Tohavecompletedadegreeinanon-Spanishuniversitynotadaptedtothe European Higher Education Area that gives access to doctoralstudies. The verification of an equivalent level of studies to the onesmentionedabovewillbemadebytheuniversitywhentheadmissionprocedurestarts.

- Mobility Rule: Candidatesmustnothave residedor carriedout theirmainactivity(work,studies,etc.)inSpainformorethan12monthsinthe3yearsimmediately prior to the publication date of the final list of selectedcandidates(29may2018).Shortstayssuchasholidayswillnotbetakenintoaccountwhencalculatingthemobilityrequirement.

- DemonstrablelevelofEnglish(B2orhigher). EvaluationandselectionprocessINPhINIT aims to recruit excellent Early-Stage Researchers with very solidtheoreticalbackgrounds,withcuriosityandambition;withincipientskillstoexpressthemselves clearly and defend their ideas with creativity, independence andoriginality.Researchersmaybe focusedontheacademicsideorbemore industry-oriented.Theevaluationcriteriaandscoresdefinedtoachievethisgoalare:PHASE1-REMOTEEVALUATION:

- Academic record and CurriculumVitae (weight 50%): academicand/orprofessional curriculum in relation to the stage of the candidate’scareer;Motivation and statement of purpose (weight 30%): theoriginality, innovationandpotential impactof theproposedproject,andthechoiceoftheResearchCentrewillbeassessed;

- Letters of reference (weight 20%): reference letters supporting thecandidacywillbeassessed taking intoaccount the specificityof the contentwithregardtothecandidate’sprojectaswellastheprofileofthepeoplewhosignthem.

PHASE2-FACE-TO-FACESELECTION:

- Candidate’spotential(weight40%): inordertohaveageneralperceptionofthecandidate’spotential,expertswillpayattentionto“soft”skills,abilitytopresent easily a complex reasoning, teamworking; and capabilities such as

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independent reasoning, originality, entrepreneurship, leadership, amongothers.

- Motivation and statement of purpose (weight 30%): expertswill assesstheimpactoftheprojectforthecandidateandthesociety;projectinnovation,originality and feasibility; and candidate’s capabilities with regard to thescopeoftheproject.Academicbackgroundandtheoreticalfundamentals(weight 30%): experts will assess the consistency of the candidate’sacademicbackgroundandCVintheareachosentocarryoutthePhD.

Accordingtothenumberofapplicationsreceived,theremaybeapre-selectionphasebasedonthefinalacademicmarksobtainedfortheBachelorstudies.