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onthenaturalandbuiltenvironments.Thus,aninnovativemethodforshaping
theformscharacterizedbyafineintegrationofplane-walledfoldedelevations
andcurvedcorrugatedshellroofsisproposed.
Possibilitiesofshapingtheinnovative,diversifiedandintegratedfreeforms
forentirecompletebuildingsareanalyzed,seeChapter5.Thetopicsrelatedto
shapingofdiversifiedfreeshellroofformareonlyanalyzedintermsof
individualshellsandsimpleindividualbuildings,seeChapters6and7.
Themaintopicofthemonographisthecompletelyinnovativemethodfor
shapingtheattractivefreeformsforbuildingcoveringswiththeeffectively
transformedsheetings.Eachtransformedfoldismodelledwithacentralsector
ofawarpedsurface.Themethodusesthefactthatanywarpedsurfacemodelling
ashellsheetingcanbedeterminedonthebasisoftwocharacteristiclines
defonedinChapter4.Oneoftheselinescorrespondstothecontractionof
atransformedshellsheeting,thatpassesthroughahalfofeachfold’sspanand
improvestheattractivenessoftheroofandentirefreeform.
Afewkindsofthewarpedsurfacesareproposedtoobtainthegreat
diversificationthedesignedfreeformsandachievethereallygreataccuracyof
modellingtheexpectedfreeformsbymeansoftheirwell-knownmathematical
formulae.Theabovefeaturesofthesecondmethodfollowfromapplicationof
thefollowingelements:
a)thelinesofstrictionexpressingthecharacteroftheshellroofcontraction,
b)thecrosswiseborderlinesoftheshellsectoraswellasamutuallocation
ofthelinestreatedastheroofdirectrices,
c)theshapesandinclinationofthefreeform’selevationstotheverticalas
wellastheirintegrationwiththeshellroof.
Theauthoranticipatesthatthederivedmathematicalformulaeenable
carryingouttheexactgeometricalandnumericalmodelsaswellasstrengthand
stabilityanalysisofthefreeroofshellsheetings.Healsoanticipatesthatthis
completelyinnovativemethodwillallowtocontroltheeffortofsubsequent
foldsofeachshellroofwiththehelpofthecurvatureandtorsionofthestriction
linesaswellasthedirectionsoftherulingstowardseachlineofstriction.
