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advanced building skins 14 | 15 June 2012 - lamp.tugraz.at - Graz ...

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2.2 Geometrical Processing<br />

Advanced Building Skins<br />

The represent<strong>at</strong>ion of complex geometry with regular elements requires profound understanding of the<br />

surfaces properties. Therefore the recognition of repetitive topologies, p<strong>at</strong>terns and components, as<br />

well as the exact analysis and modelling of the geometry are necessary skills to understand which<br />

possibilities exist to provide a competitive solution. Furthermore it is necessary to enhance the<br />

complete planning process including the development of new production technologies and new<br />

assembly concepts. Traditional conceptions of repe<strong>at</strong>ability and standardis<strong>at</strong>ion of individual<br />

constructional components are replaced or adapted. Without further processing and optimis<strong>at</strong>ion of a<br />

double curved geometry, the process of r<strong>at</strong>ionaliz<strong>at</strong>ion will always lead to warped, twisted or non<br />

developable construction components, which may rule out the full functionality of a <strong>building</strong> envelope.<br />

The orient<strong>at</strong>ion of steel members, the rel<strong>at</strong>ion of member angle to node orient<strong>at</strong>ion, the even<br />

distribution of panel sizes, minimizing gaps between neighbouring elements and improving the<br />

properties of offset are the main goals of the r<strong>at</strong>ionaliz<strong>at</strong>ion. Furthermore we deal with aspects of<br />

aesthetics like the fairness of lines, the equal distribution of element sizes and angles between faces,<br />

triangular or quadrangular grids and their orient<strong>at</strong>ion on the surface.<br />

Figure 7: From a NURBS surface to a discrete mesh to a full digital model<br />

All these factors of a panelised surface directly influence the properties of glass elements. While many<br />

designs may be approxim<strong>at</strong>ed by triangular or in some cases fl<strong>at</strong> quadrangular glass panes, there are<br />

cases where the original form and their smoothness have to be preserved either because a solution is<br />

only possible with a significant visual impact or the architect does not allow changes. Assuming there<br />

is a proper budget available for such a project this isn’t a problem <strong>at</strong> all.<br />

A further approach is the use of cold or thermally bent glass. According to Eigens<strong>at</strong>z et al [5], pane<br />

types can be classified in fl<strong>at</strong>, cylindrical, toroidal and spherical forms, which differ in m<strong>at</strong>erial,<br />

fabric<strong>at</strong>ion method and costs. Various fabric<strong>at</strong>ors have developed proprietary methods and techniques<br />

for manufacturing spherical glass elements. An interesting method to decrease the costs of double<br />

curved glass structures is to simplify the geometry and breakdown the different types into a few<br />

manageable groups. To facilit<strong>at</strong>e the workflow and enable important optimising techniques custom<br />

made software tools were developed by Evolute.<br />

In the past years, researchers have solved various demanding tasks, like the panelis<strong>at</strong>ion of a double<br />

curved surface with a rectangular grid consisting of planar quadrangular faces. An additional approach<br />

in contrast to using an existing model is to perform a kind of reverse engineering and to remodel the<br />

complete compliant geometry. A big advantage of doing this is to be able to better understand the<br />

initial design and to cre<strong>at</strong>e a clean model of the <strong>building</strong> which s<strong>at</strong>isfies the needs for further<br />

processing. A disadvantage of this new model is th<strong>at</strong> it is just an interpret<strong>at</strong>ion of the original<br />

geometry, including devi<strong>at</strong>ions and maybe misinterpret<strong>at</strong>ion, which we have to keep in mind while<br />

processing the project. The extracted curve network and the resulting mesh out of it is always an<br />

approxim<strong>at</strong>ion of the original NURBS surface, whereby the nodes of the mesh ideally lie exactly on<br />

the compliant surface. For this reason there are many possible altern<strong>at</strong>ives to interpret the base<br />

geometry, differing in number of members, panes size, aesthetics and costs.<br />

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