An overview of methods to build full-scale architectural complex (mostly double curved) surfaces and structures.

1. Artisanal methods
a. There is a very long history to shaping building materials into double curved structures. The fact that the 'natural' catenary form, when reversed, forms an almost pure compression structure (with hardly any bending or shear forces) made the resulting 'beehive' shape  much-favoured for the construction of simple stone or adobe dwellings. No form work was needed for these construction; some times a non-loadbearing form-guide system was employed to guide the masons..
b. outlining the complex forms in a network of ribs was pratcticed in Romanesque and Gothic arcitecture. These ribs were built on rigid form work; in turn, the ribs supported the small double-curved vaults, built without scaffolding, that made up the roof surface structure.
2. Full-scaffolding method (still built in artisanal manner)
a. Ruled surface forms (mainly hyperbolic paraboloids) were used numerous times by the pioneering architect-engineer-builder Felix Candela.
3. Prefabricated element system
a. In the Philips pavilion at the Brussled Expo 58 exhibition a compex 3D volume made up by hyperbolic parabolois, is sub-divided in small double curved reinforced thin concrete panles that are cast on a sand bed mould. These elements are kept in place and post tensioned by a double net of 7mm steel strands that are stretched between rigi edge beams.
3. Computer aided design and construction
4. Modern, computer designed and robot manufactured complex structures are generally made out of short straight structural members, with a covering material (glass or metal panels) that, more often than not, can be flat.
Examples: British Museum, London, roof and Patent office, Washington D.C. roof, the Blob, Eindhoven Holland.Double curved glass panels are used in Zaha hadids Nordpark inclined raiway stations in Austria, and the Kunsthaus in Graz, Austria.
5. Modern computer designed 3D structures with a steel meber frame, covered by double-curved gass panels that are cast in a pre-fabrication shop.
Examples: Zaha Hadid Nord bahn in Salzburg Austria and hadi
Artisanal, scaffolding-free double-curved construction.
1. Compressive/composite materials


 
3D forms in Architecture, have, until about 20 years ago, been created exclusively in an artisanal fashion.
     
Beehive domes (and similarly vaulted structures) have, since time-immemorial been constructed, using mudbrick or stone. The structual form follows (approximately) the funicular pattern, which guarantees that the resulting structure is almost  free of bending forces; in addition, the form allows construction, layer by layer with out the use of full-surface scaffolding.

Gramzio and Kohler's robot construction method essentially copy this ancient system:
 

 Double curved Gothic vaults as well as elaboratly sculpted  interiors  during the Rocco era were always hand-made, even though a reuse of hand-made molds would be maximized.

Gothic double curved rib-guided construction

           
    


gothic rib vault with double-curved infill panels        Gothic King's College fan vault 

Catalan vaults  (again, this system could be executed by Gramzio and Kohler's pick and place robot.)                      

 The Catalan vault system is a unique system, using thin ceramic tiles held together by unusually 'sticky' lime mortar, which made it possible to build double curved shells of relatively large spans by laminating  3 or more layers of these tiles, cantilevering one layer out from the one before it, using no structural form work, only lightweight guides to help the masons to stay on course. This ancient technique was used to great effect by the architect Antoni Gaudi, and was introduced into the United States by the Guatovino family which used the system with great success in major buildings like the Boston Public Library and Grand Central Station in New York.

catalan vault construction

 
Guastovino system double-curved timbrel vualting system.
http://blog.makezine.com/archive/2009/06/lost-knowledge-timbrel-vaulting.html

Felic Candela' reinforced concrete thin shells in the shape of ruled surfaces cast on full scaffolding.

 

Felix Candela is credited with introducing large scale reinforced concrete structural Hyperbolic Paraboloids into the practice of architecture after WWII. He choose this particular 3D geometric form for its simple mathematical expression, and for the fact that all hypars consist of ruled surfaces, meaning that the double curved surfaces are exclusively made up of straight lines. This quality makes it possible to create the complex double curved 'umbrella's' and composite vaults that Candela is rightly famous for, using only  straight form-work planks supported on straight beams.
Thin-shell large span construction was popular in the forties, fifties and early seventies, and fell then out of favour, replaced by less labour-intensive steel truss construction.

The Philips pavilion at the Brussels Expo '58 (The first effort at panelization of large double curved surfaces)

   
 http://de-de.de/lectures-and-workshops/rationalization/

Post-tensioned reinforced thin shells constructed of small precast elements

 The  Philips pavilion at Expo '58 in Brussels is an interesting example of a large scale building using hyperbolic paraboloids as a basic structural form, but, unlike Candela's poured-in-place method, concrete prefabricated panels were used, held together by an unusual external system of post-tensioning cables that followed the straight-line geometry of the hypars.
I quote: http://digital.lib.umd.edu/worldsfairs/record.jsp?pid=umd:1011
"The execution of the design proved to be problematic. Xenakis' own structural solution involved a tensile structure of steel cables strung from steel posts at the ends of the "tent" to form the hyperbolic parabaloids. It was rejected on the grounds that the interior would require more solid, acoustically insulating walls. Le Corbusier and the sound engineers wanted a structure of concrete to keep exterior noise from interfering with the presentation. But the complex shapes of Xenakis' hyperbolic parabaloids made it impossible to build a conventional poured concrete structure. The solution that would satisfy both Xenakis' ideas and the acoustical requirements of the Poéme Electronique was a system of precast concrete panels hung in tension from wire cables. Because hyperbolic parabaloids are generated by straight lines, the method of using precast panels was easy to implement. This ingenious compromise was devised by Hoyte Duyster, the chief engineer for the Philips project. The panels were constructed in a hangar shed from a simple sand mold that matched the curvature of the pavilion. Once the panels were cast around the sand mold, they were numbered, shipped to the construction site and quickly assembled. They would hang on steel cables strung from thin concrete ribs that were cast in place. These ribs are visible in the photograph where the walls converge at the ends of the pavilion. The result was a quickly and efficiently constructed building that fulfilled the requirements of the Poéme Electronique. "

The prefabrication of the thin-shell concrete panels making up the Philips pavilion was done using a laborious sand casting method of the individual concrete panels.
This precedent is particularly relevant to our proposal: a complex surface structure was divided into individual sub elements that came in a great diversity of geometries. Our proposed rapid prototyping of elements could have replaced the elaborate hand work that went into the making of the Philips pavilion.

Interestingly, in recent years there have been attempts to rebuild the pavilion (demolished when the exhibition was over) in the hometown of the Philips Company, Eindhoven, Holland. But this time new robotic methods are proposed to produce the pavilion.
Make link to new philips pavilion. NEW TECHNOLOGY

Tensile roofs; the 'natural way to construct large scale lightweight, double-curved surfaces.


 
Frei Otto German pavilion Montreal                                                                                                         Jeddah Air Terminal

Computer modeling and form. Parametric design>> fluid design.. the algorith runs ahead of the plan and the construction, like in the Baroque period.

Low pressure air-supported buildings; another very efficient method of spanning large areas with double curved skins.

 

High Pressure Pneumatic buildings (a dead end .. requires large and constant input of energy and monitoring)
   


Geodesic domes; a pre-computer straight stick structure with almost standard 3D plastic panel-infill panels.
 
   

Recent computer designed and robot constructed freeform surface made up of straight stick and flat panel systems:
Foster's free-form roof systems
.
The complex free-form  surfaces are sub-dided into small triangular units that can be framed by short members and covered by flat glass panels:
Examples: the British Museum roof and the Blob Eindhoven (by Fuksas).
 

In the Patent Ofice roofing project the complex roof surface was subdivided into squares, and the whole structure is supported indepently on slnder columns.

 
 
The recently completed "Blob" in Eindhoven Holland. Flat triangular glass and aluminum panels on a triangulated free-form structure. Architect Fuksas, Italy.

  

Freeform double curved glass panels cast on robot-produced molds, supported by a complex robot manufactured steel frame work:

 
Zaha Hadid Nordpark inclined railway stations in Innsbruck, Austria


Finally:

Double-curved architectural scale rapid prototyping

   
Frederico Dini, Italy and his radiolaria structure built by Cartesian robot using snad and a binder.

Loughborough University team with Richard Boswell.                         Contour Crafting at the University of California
http:www.buildfreeform.com


CNC produced large sale double curved surfaces.