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JOURNALOFTHElNTERNATlONALASSOCIATIONFORSHELLANDSPATlALSTRUCTURES:IASS
SUMIif4Ry
目IIEILDS~I~UDYOFA30-MSPANICEDOME
TsutomuKokawa
DepartmentofArchitecture,SchoolofArtandTechnoIogy,HokkaidoTokaiUniversity
Chuwa224,Kamuicho,AsahikawaO70-8601,Japan
』た〃”‘のo〃6oz/z肋eco"s”c"o〃α"QIcregpjaytq/、α30"zspα〃icedbme“"zj"6“e虚α'"aex,9.2"zj〃Ae妙rα”25c籾j"αve7ag色jcerAjc肋“Sノwascα〃”o"rarZbmα”‘加Hb碗域”加g油ew加”q/、2001.〃rooko"〃sな〔/bりMファ坊eco”Jeがo"q/、fhe6jgdbme勿油eco"s”c"o""ze油oqIq/、6/owj"gs"owα””ノ叩"gwzz”o”oα〃αが”7α花ぬれem6m"eas./b'mwo'たFb肋w加g坊eco刀s”c"o",αcジセgp彪鈍was“ecz"e“"“7t〃ew”eγ"α”α/e"VかO”e"Z加jZbmα”/α”jheS”c”α/6eAaVjOγ"""が"AeCO/”seWaSexα”"e‘Z4Sαγes"〃メカece""α/pα〃q/、avemgc伽pノace"ze"〃areかOmF1e6γ"αryI7的わM‘z'℃ノセ23城Wasa6oz"“加加/hkZy,α""WaSSル0W"油α城edbmeA“αgひo‘e"O"帥s""c”α/轍Cie"qy.B”eJo"メノzeres"lItq/、”s〃‘'ウノ,tAeん”efzpp"cα"o"Q/、a3am‘sIpα"ice血沈a/bγα"αノ℃〃"eα"、!ノカcj肋CO"〃6e6asicaI〃possめ/e
K2yw0J”30-7〃助α"IbeDo碗e,Cb刀s”c"o〃219“ceepma3f
1.]mVrRODUCTION
Snowandcoldenabletheapplicationofaniceshell,whichprovidesanefficientsolutiontocertainproblemsinsnowyandcoldregions、Theiceshellisthin,anditsstructuralmateIialisice・Itisanew
typeoficestructurebasedonmodernstructuralengineeringanditcancoveralargerareacomparedtotheclassicalsnow-icestructuressuchas
"Kamakura,,or‘‘Igloo,,、IthadbeensuggestedthattheiceshellcouldbeusedfbrcreatingaratheruniquebuiltenvlronmentasanewideaofarchitecturaltechniqUeinthesnowyandcoldregionsduringwinter[l],becauseithasaspecialshapeandahalfLtransparenttextureoftheice.
Anattemptneverexperiencedbefbretoconstruct
iceshellsfbranarchitecturalspace,hadbeendevelopedinTomamu,HoldKaidosincel997[21Manyiceshellshavebeenusedasleisurespacefbrvisitorsabout3monthsineachwinterandthese
havecreatedafBntasticandbeautifUlspaceprovidingqUiteauniqUebuiltenvironmentinwinter,Takingitsarchitecturalsafetyintoconsi‐deration,thesizeoftheseshellsislimiteduptol5mspanfbrthetimebeing、However,extensively
interpretingtheresultsinthepaststudy,alargeice
shellwithspansfi。om20mto30mmightbepossibletouseasanarchitecturalstructure・And
then,twofieldstudiesona20-mspanicedomewith6・sminheighthavebeencalriedoutatthesamesiteofTomamuintheyearsl999and2000・Thesetest-domeshadshownahighstructuraleffi‐
ciency,anditconcludesthata20-mspanicedomeispossibletouseasanarchitecturalstructure[3].
FollowingthesuccessfUlexperimentofa20-mspan
icedome,afieldstudyonboththeconstructionandcreeptestofa30-mspanicedome(25minbasediameter,9.2minheightand25cminaverageicethickness)neverexistedbefbre,wascarriedoutat
TomamuinHokkaidoduringthewinterof2001,searchingthepossibilityoftherealizationfioomtheaspectofarchitecturalengineering・Basedonthe
resultofthisstudy,itconcludestheapplicationofa30-mspanicedomefbranarchitecturalflacilitycouldbebasicallypossible.
2.CONSTRUCTIONT]ESi]r
2.1.Outli血eofConstructionalSequemlce
1.Constructingsnow-icefbundationwithabouta25minnerdiameter、
2.Buildingupthe3-dimensionalfbrmworkbyinflatinga2-dimensionalmembranebagof30m
93
VOL、43(2002)n.139
ノ
diameter,coveredwithropeswithareticularpattemdeterminedbythegeodesicdivisionanchoredtothesnow-icefbundation.
3.Coveringthemembranewiththinsnow-ice
sherbetbyblowingthemilledsnowwitha
rotarysnowplowandsprayingtapwaterwitha
high-pressureadjustablenozzleinthevicinityofthetop・Solidifyingthethinlayersnow-icesherbetduetocoolingbycoldoutsideair、
4.Repeatingtheapplicationofsnowandwateruptothe25cmshellthickness・Thenremovingthebagandropesfbrreuse.
2.AsshowninFigure2,thegeometryofthenet
wasdeterminedbythegeodesicTriacondivision
8firequencies,Thenetwasmadeof●l4mmpolypropyleneropeanditslengthshowninFigure3betweenpointswascalculatedbySphericaltrigonometry,supposingthedesign
sectionshowninFigure4Supposingmaximum
waterheadofaportablebloweras46mmaq.,thetensionfbrcebecomeaboutltonon
computation,sothel4mmP・P、ropeisstrong
enoughagainst3tonesofitsbreakingfbrce
2.2.Smow-iceFoIInlIationRing
TheconstructionwasdonefifomFebruary4thto6thin2001.Followingthemeasurementandread-
justmentofthesiteonFebruary4th,aheavymachineasshowninFigurelwasusedfbrtheconstructionoftheringwithabout25mininnerdiameter,40rope-anchorswerelocatedequallyontheinnercircleandatthebase,preventingtheriseindomefromexcessiveheightcausedbythe5%elongationoftheP.P、rope.
F1ig2・Re"αイノα7.pα"eノ71
F1ig3、RQpe/e"grAに”
.,卯
Rigも1.Cb"”・zJc"o〃Q/Wzow-ica/b””"o〃減"9
、●
apex
2.3.Air-In面atedF〔Drmwork
少【=
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,麺
〆
94
》一部へ
6
ペ
FXg‘.Das,jg"‘yec"o〃
R
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副P■もや
Thefbrmworkconsistsofmembranebagandcove‐●
rmgrope.
1.ThemembranebagisfBbricatedbywelding
alongthePeripheryafterwrappingintwopiecesofplanesheetswith30mindiameter、ThespecificationsofthemembraneareasfbnowS.
P.V,C、,T-SFlOO%,weight:530~5709/m2,Ten-silestrength:longitudmall50±20kg/3cm,TransversellO±20kg/3cm,Color:daIk-green.
クダ
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JOURNALOFTHElNTERNATlONALASSOClATlONFORSHELLANDSPATlALSTRUCTURES2lASS
周『雨
2.4.Inflatiom
2 / 1 2 2 / 1 3 2 / 1 4 2 / 1 5 2 / 1 6 2 /1フ
ThefirstinflationtestwascarriedoutonFebruary
7th・Aportableblower,whichhasacapacityair-flowof44m3/min.,wasusedfbrtheinflation,sotheinflationtimeshouldbewithinaboutlhouron
thecomputation・However,becauseofsometrou‐blessuchasanadjustmentbetweenthemembraneandropes,ittookseveralhoursfbrtheinflationbeyondthetheory、Figure5showstheair-inflatedfbrmworkaftertheinflation、OnFebruaryl2th,justbefbretheapplicationofsnowandwater,about40
piecesofStyrofbamsticksfbrcheckingtheshellthicknessundertheconstructionwerepreparedonthemembrane・However,astheadhesiveagentwasnoteffectivebecauseofaverylowairtemperatureof-l3oCbelowatthatmoment,almostallofthemwerenotattachedonthemembrane、so,therationalmethodofattachmentshouldbedevisedinfUture
construction.
050505
-1122
『一一一
8W蝉
酉
outsideairtemp.(℃)
FXgdO"航咋αj(e"lpeノ圏α”e"”eノ・CO"s"wc"o〃
=rl
~弓引3
上■
ドEL言
肥軸'、w紗----‘瞥雷・-上…面
F1igス4pp"cα"o刀Q/s"owα"αwazeノ.
豚。鰯溌I『
thanlcmduringoneoperation・Theonewiththe
capacityof22mmaximumthrowingdistanceswasusedfbrblowingthesnowexceptthevicinityoftheapex,Theotherwith30mthrowingdistanceswas
appliedincaseofthecentralpartsofthedome,Itis
assumedthatthethicknessofthecompleteddomewasapproximately25cminaverage・Ittook2hourstogetlcmicethicknessinthisexperimentbecauseitneeded56hoursintotaltimefbrthe
applicationofsnowandwater.
Applicationofsnowandwaterwascarriedoutftom
Februaryl2theveningtol6thearlymoming、AsshowninFigure6,itwasveryniceweathertoconstructiceshellsatthatperiod、Figure7shows
thesituationunderconstructionA巾40hoseand
sixウ20hoseswereusedfbrsprayingwaterontothemilledsnowTotalamountofsprayingwater
was240-2901itter/min.、Itisassumedthatthe4)40hosenormallysuppliedl50-2001ittelmin.(b20hoseswerecontinuouslyoperatedonfivehigh
stages,and(|)40hosewasintermittentlyusedmovingaroundthedomeaccordingthesituation・
Ontheotherhand,blowingthemilledsnowontothemembranewascarefUllydonebytwosnowplowssoastokeepthesnowthicknessless
em5
Theairmembranebagbegantodeflateat8am、on
Februaryl6th・Figure8showsaninsideviewunderdeflation、Ittookabout5hourstoremovetheair
outofthebag,andthenthemembranewasfbldedandpulledoutthedome,Figure9showsthe
exteriorviewofthecompleted30mspangiganticicedomeasneverseenbefbre.
FZg5.4i提jノリ7とz極加e"'6ノロ"e“んノ77zwo戒
2.5.ApplicationofS1mlwmdW証哩。
2.6.pEf1胆箇o皿
■■■
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-appIicationofsnowandwater
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compIetio0ノ
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VOL、43(2002)n.139
既五麺醇一万
4‘dQJ『僻
FZg68.De/7Zz"o〃
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F1ig9・Comp/ereaice血沈e
3.C]R1mRPTEST
b■
Inordertoprovetheactualpossibilityofappli‐cationtoanarchitecturalstructureincaseofsucha
hugeicedome,thestructuralpropertyofthecompletedicedomewasexamineduptotheco‐llapsewhichoccurredonAprillOth・Aftertheautomaticallymeasurement,thestructuralbehavior
wasobservedbyeyeuptothecollapse、Theresultsofthistestweremadeincomparlsonwiththestructuralbehaviorsofthe20mspanicedomein2000[3].
3.1.IcethickneSsandGeometry
Atthebeginningrofthedeflation,thepreparationof~〆
thepointfbrmeasuringdisplacementandthemeasurementoficethickness,asshowninFigurelO,weredoneatthesametime、Asaresult,the
thicknessattheupperpartofthedomewas22cmto26cm・Thethicknessatthemiddleandlower
partsofthedomeweremeasuredbycarefUlly
96
N
4。‘,
●verticaldiRnlucu皿8nt,(1~5)
Oinsidctomperaturo(6~7)
△iCetemp.(8~10)◇oUtsidotGmp.(1ユ)
FXgm上ejルiCk77“Sα"‘"1eaSZ"・加gpOi"/Mフノ・veノガcα/(油p/Zzce"ze"な&/e"Zpeノ.α血"・as,
readingthescaleoflOpiecesoftheStyrofbamsticks.
Asaresult,thethicknessatthewestside(windwardside)wasdistributedfrom25cmto30cm,andthe
eastside(leewardside)wascomparativelythinfi・om22cmto27cm,Thetopheight921cmfhirly
correspondedto926cmcalculatedas5%ofropeelongation.
3.Z・Displa理mel1la皿。,1,唖叩erat皿睡
DisplacementsandtemperatureswereautomaticallymeasuredfiomFebruaryl7thtoMarch23rd・s
pointsfbrmeasurlngverticaldisplacementsand6
pointsfbrmeasuringtemperatures(Onepointof
outside,twoinside,andthreeicetemperatures)areshowninFigurelO・Figurellshowsthemethodofmeasuringaverticaldisplacement,Aprogrammabledataloggerrecordedthesedisplacementsautoma-ticallyat3-hourintervals、AselfLrecordedthermo-
metermeasuredthetemperaturesatl-hourinter‐vals、Figurel2showstemperature-timecurvesduringthewholeperiod[However,theoutsideairtemperatures(Tout)fiFomMarch4thtoMarchl3thwerenotshownhere,becauseitwasnoticedlaterthattheoutsidethermometerwasembeddedinthe
snow1Tablelshowsaveragetemperatureateverypoint、ItrecognizesthatTout,theinsideairtempe‐ratures(Tin)andtheicetemperatures(Tice)were
3/14 3/193/24
JOURNALOFTHElNTERNATIONALASSOClATIONFORSHELLANDSPATIALSTRUCTURES:lASS
FXgbI2、姥"zpeノ.α血ノ・e-""'ecz"-vas
Zh6ノc1.Aveノロge/e"lpeノ.α加ノ℃(《'CM2〃7~3/2.3ノ
Hf=iii…
lowinorder,Tinwaslowinaverageanditschange
wasverylarge,becausethecoldoutsideairentered
easilyintotheinsidefiomtheopeninginstalledthewindwardside、Figurel3shows5pointsofdispla‐cements-timecurvesduringthesameperiodThebehaviorsofthesepointswerealmostsamequantitativelyandqualitatively・Asshowninsomeexamples,aboutl50mmdownwardsdisplacementfromMarch20thto21st,aboutl90mmupwardsfifomMarch21stto22nd,unbelievablelargechangeofdisplacementoccurredallovertherecordanditseemedthatFigurel3didnotshowtruedispla‐cementbehavior・Andthen,inordertoseekthe
reason,varlousaspectssuchasthethermalexpansionoficeorchain,themovementofsnowlevelbyfreezingandtheinfluenceofthecracknear
theopeningwerecheckedbothquantitativelyandqualitatively、However,astheresult,theseftlctorsdidnotseemtogiverationalreasonfbrthe
phenomenon・Atlast,theinfluenceofthetempe‐ratureonthedisplacementtransducerwasinvesti-gatedexperimentally・Figurel4showsthedisplace‐ment,temperature-timecurveundertheconditionthatthetransducerwasinstalledbetweentwoExed
points・Asaresult,asseenintheexamplethat45mmchangedagainstl3deg、intemperaturechange,thetemperaturechangeclearlyhadabiginfluenceonthedisplacementtransducer、Further‐more,inthesamefigure,thedisplacementcurvewasapproximatelyfittedtothestraightlinebythemethodofleastsquaremeanandtheslopeofthelinebecameOwhichmeansnomovementbetween
---Tice<point8)
←cablelengthL=1.5~2.0m
displacementtransducerDTP-51,sCfl▽snoWleV91
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VOL、43(2002)n.139
、
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3.3.BehaViorofCniIap霊
画再一画Iinearapproximation(disp.)△’l△ノAlノ入
riment,asalargedefbrmationwasnotobservedbefbrethecollapse、Itindicatesthatthecollapsedoesoccurabruptly,andthepredictionofthecollapseisdifficultbyeyeobservation,Therefbre,brittlecollapseisnotsuitablefbrthearchitecturalstructurewhichneedsenoughtimetopredictthedangerofthecollapse、Futureexperimentsofa30-mspanicedomeshouldbeconfilmedwhethersuchalargeshellbringsthebrittlebehaviorofcollapseornot・Thebrokenpiecesoficeplatesatthesouthsidewereverypoorduetothedamagebysolarradiation・Itissuggestedtospraywaterandblowsnowontothedomeseveraltimesduringits
application,astheeasymethodfbrkeepingthequalityoficewhichmeansimprovementofthestructuralsafetyoftheicedome、Figurel6showsthetemperaturesduringuntilthecollapse・After
twofixedpoints・Basedupontheconsideration,asshowninFigurel5,themethodwasappliedtotheaveragedisplacementof5curvesshowninFigurel3anditsaveragedisplacementwascomputedas6、5mm/day・Thisvaluecoincidesverywellwiththevalue5.4to7.2mm/daycalculatedfromthemembraneshelltheory,Maxwell,linearviscosematerialandthe3to4mm/dayintheexperimentalstudyof20mspanicedome[3].
98
AfterremovingthedisplacementtransducersonMarch23rd,thestructuralbehaviorwasobserved
byeyeupuntilthecollapse,whichoccmredataboutlp.m、onAprillOthlnthiscase,thebeha‐viorwas‘‘brittle,,neverseenatthepreviousexpe‐
一一disp,(m、)-
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Accordingtothemembraneshelltheory,thecompressionstressattheapexofthisdomecoveredunifbrmlywith50cmsnowdepth(colrespondingtolOOkg/m2verticalload)iscomputedasaboutlkg/cm2whichisaboutl/40thoftheuniaxialcompressivestrengthofanice・Thisisthesimplereasonwhythe30-mspanicedomehasenoughstrengthtoexiststructurally・Therefbre,anactualprooftestof30-mspanicedomeconcemingtotheconstructiontechniqUeandthestructuralsafetywaschallengedatTomamu,Hokkaidoinwinterof2001‐
99
2
colIapse
l:O0Pm.(AprillOth)
FXg6mmg”eノロ”e-""Zea"Te6碗ノ℃COノノapse
April2nd,theoutsideairtemperatureoftenexceededOoCandthesunshinebecamestrong、Accordingtoanon-siteobserver,theweatherconditionpromotedrapidly,themeltingiceofthedomeandthesoundofthemeltingechoedinside,Figurel7showsthesequentialorderoftheco‐llapse・Thefirstcollapseoccurredatthemiddleofthesouthsidewherethesunshinewasthestrongestoverthedome・Furthelmore,thecrackbesidestheopeningwasnotsospreadanddidnotaffectthestructuralbehavior・Figurel8showstheexteriorviewafterthesecondcollapse.
風4
4.CONCLUSlON
Asaresult,itisconcludedthattheapplicationofa30-mspanicedomefbranarchitecturalfIacilitycouldbebasicallypossible、Thisconstructionme‐thodofblowingsnowandsprayingwaterontoanai趣nflatedmembraneasfbrmwork,isveryrationalfbralargeiceshellbecauseitneededonlysixdaysfbrthecompletionofthe30-mspanicedome、And
瓦918.Ebrreノfo7・Wew伽r城eノ・CO"αpse
拠
零種魚宇”
霧鶴蹴
VOL、43(2002)n.139
then,itisconfirmedthecompleteddomehadahighstructuralefficiency,becauseitsaveragedispla-cementrateatthecentralpartofthedomewasestimated6.5mm/dayduringthewinterperiodandthecollapseoccurredonAprillO1haftertheoutsideairtemperatureoftenexceededOoCandthreedaysoverOoCinaverageairtemperaturelasted.
Takingtheactualconstructionequipmentssuchasthesnowplowfbrblowingsnowandtheadjustablenozzlefbrsprayingwaterintoconsideration,thesizeoftheicedomemaybelimitedupto30-m
spansofar、However,itwouldbepossibletoconstructa40-mspanicedomeiftheequipmentswereprepared,PantheoninRomeconstructedinaboutl20A.C、iswellknownasoneofthebiggestclassicalstonedomeanditssizehasabout40min
basediameter,Theicematel・ialiseasiertomanu-
flElcturethanstoneanditsstrength/densityisbetter
thanstoneinshorttermloading,soitcouldbe
possibletorealizestructurallysuchasizeoficedomeinsteadofastonedome,Ontheotherhand,
theiceisahalftranslucentmaterial,sotheiceshell
createsafmtastic,beautifillspaceprovidingquitea
uniquebuiltenvironmentinwinter、Particularly,incaseofalargespan,itwillbemoreexcitingartis-ticallyandgettingmoreusefhltoapplytovanouskindsofarchitecturalfをicilitiesfbrwinterevents.
A30-mspanicedomeisquiteahugeiceshellneverexperiencedbefbre,soitsstructuralbehaviorsarenotknownaswell,Therefbre,theconfidenceof
itsstructuralreliabilityisnotenoughatall,eventhoughthisfirstexperimentwassuccessfill・Towardtherealizationofthe30-mspanicedomefbrarchi‐tecturalstructure,theuntiringfieldstudiesconcer‐
ningtothereliabilityofitsstructuralsafetyandtheimprovementoftheconstructiontechniquewillbeneededmuchmoreintheftlture.
ACKNOWLEDGEMENTS
ThisworkwasmadepoSsiblebythefinancial
supportsfromKEIRYOSEIKATSUKAIKANGrantin2000andbythemembranematerialsupplyfi・omTO-RAYLtd、Company.
Theauthorwishestothankthestudentsof
HokkaidoTokaiUniversityandthemembersofResortManagementCompanywhoworkedfbrtheconstructionofthetestdomeandthepreparatiOnofthecreeptest.
100
REFERENCES
[l]KbルαソツaZXα”唾'・asαフツαZ,1982/1983:“Onthebehavioroficedomesundershort声telmloading''(in
Japanese),Bull,HokkaidoTokaiUniv.,vol、3/4,pp、77-85.
[2]KbノtawaZ:,〃0ノiO.α"‘恥”za6eK,2000:“IceShell-Reviewandrecentapplication,',JoumaloflASSVo1.41(2000)、.',Apriln、132,pp、23-29.
[3]KbkawjE,lifoAO.α"‘恥”za6eZ,2001:‘‘Rechallengeto20-mspanicedome,,,CD-ROMofIASSinNAGOYA(editedbyKunieda),TPl87‘