@inproceedings{WolkowiczRuthStahr, author = {Wolkowicz, Christian and Ruth, J{\"u}rgen and Stahr, Alexander}, title = {TOOL TO CHECK TOPOLOGY AND GEOMETRY FOR SPATIAL STRUCTURES ON BASIS OF THE EXTENDED MAXWELL'S RULE}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.3037}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-30370}, pages = {8}, abstract = {One of the simplest principle in the design of light-weight structures is to avoid bending. This can be achieved by dissolving girders into members acting purely in axial tension or compression. The employment of cables for the tensioned members leads to even lighter structures which are called cable-strut structures. They constitute a subclass of spatial structures. To give fast information about the general feasibility of an architectural concept employing cable-strut structures is a challenging task due to their sophisticated mechanical behavior. In this regard it is essential to control if the structure is stable and if pre-stress can be applied. This paper presents a tool using the spreadsheet software Microsoft (MS) Excel which can give such information. Therefore it is not necessary to purchase special software and the according time consuming training is much lower. The tool was developed on basis of the extended Maxwell's rule, which besides topology also considers the geometry of the structure. For this the rank of the node equilibrium matrix is crucial. Significance and determination of the rank and the implementation of the corresponding algorithms in MS Excel are described in the following. The presented tool is able to support the structural designer in an early stage of the project in finding a feasible architectural concept for cable-strut structures. As examples for the application of the software tool two special cable-strut structures, so called tensegrity structures, were examined for their mechanical behavior.}, subject = {Architektur }, language = {en} } @inproceedings{StahrRuthWolkowicz, author = {Stahr, Alexander and Ruth, J{\"u}rgen and Wolkowicz, Christian}, title = {... WITHOUT RIGHT ANGLE.}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.3024}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-30248}, pages = {8}, abstract = {Currently sculptural design is one of the most discussed themes in architecture. Due to their light weight, easy transportation and assembly, as well as an almost unlimited structural variety, parameterised spatial structures are excellently suited for constructive realisation of free formed claddings. They subdivide the continuous surface into a structure of small sized nodes, straight members and plane glass panels. Thus they provide an opportunity to realise arbitrary double-curved claddings with a high degree of transparency, using industrial semi-finished products (steel sections, flat glass). Digital design strategies and a huge number of similar looking but in detail unique structural members demand a continuous digital project handling. Within a research project, named MYLOMESH, a free-formed spatial structure was designed, constructed, fabricated and assembled. All required steps were carried out based on digital data. Different digital connections (scripts) between varying software tools, which are usually not used in the planning process of buildings, were created. They allow a completely digital workflow. The project, its design, meshing, constructive detailing and the above-mentioned scripts are described in this paper.}, subject = {Architektur }, language = {en} } @phdthesis{Stahr2008, author = {Stahr, Alexander}, title = {Das wohltemperierte Netz - Zum Konstruktiven Entwurf direkt verglaster Stabnetze auf Freiformfl{\"a}chen}, doi = {10.25643/bauhaus-universitaet.1383}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20090427-14602}, school = {Bauhaus-Universit{\"a}t Weimar}, year = {2008}, abstract = {Direkt verglaste Stabnetze repr{\"a}sentieren ein strukturell und geometrisch hochgradig variables Prinzip zur Realisierung transparenter architektonischer Freiformfl{\"a}chen. Dieses beinhaltet die funktionale Entkopplung der Fassadenkonstruktion in ein tragendes Stabnetz und eine h{\"u}llende Verglasung. Ein formal universales, dimensional variables Knotenelement bildet dabei das Herzst{\"u}ck der Konstruktion. Die vorliegende Arbeit widmet sich dem Konstruktiven Entwurf frei geformter, direkt verglaster Stabnetze. Dieser umfasst schwerpunktm{\"a}ßig die formale und dimensionale Konzeptionierung der Knotenelemente. Er wird maßgeblich beeinflusst von der Dimensionalit{\"a}tsdifferenz zwischen dem formbeschreibenden Fl{\"a}chennetz aus nulldimensionalen Knoten und eindimensionalen Kanten sowie dem Stabnetz aus dreidimensionalen Knoten bzw. St{\"a}ben. Dar{\"u}ber hinaus definieren das freiformbedingte Erfordernis einer unikaten Ausrichtung der Stabnetzelemente sowie die materialspezifische Anforderung einer zw{\"a}ngungsfreien Lagerung der Gl{\"a}ser weitere dominante Einflussgr{\"o}ßen im Entwurfsprozess. In der Arbeit werden zun{\"a}chst die geometrischen und konstruktiven Randbedingungen des Konstruktiven Stabnetzentwurfs dargestellt. Darauf aufbauend wird ein Zylinder-Achsen- Modell entwickelt, welches die unikate lokale Situation am Knoten unter Ber{\"u}cksichtigung einer variablen Ausrichtung der Stabnetzelemente sowie beliebig polygonaler Stabquerschnitte abstrahiert. Die Modellierung erm{\"o}glicht eine Bewertung des knotenbezogenen Status unter konstruktiven und mechanischen Aspekten. Sie bildet somit die Grundlage f{\"u}r eine Konstruktive Optimierung direkt verglaster Stabnetze. Mit Hilfe des Zylinder-Achsen-Modells werden alle bisher bekannten Prinzipien zur Ausrichtung der Stabnetzelemente analysiert. Dabei offenbaren sich verschiedene Defizite. Zu deren {\"U}berwindung werden drei neuartige L{\"o}sungsans{\"a}tze entwickelt. Eine alternative Methode dient folglich zur Bestimmung einer konstruktiv optimierten Ausrichtung der Knotenachse. Ein zweiter Ansatz zielt auf die Definition einer neuartigen Stabl{\"a}ngsbezugsachse, welche unabh{\"a}ngig von der Fl{\"a}chenkr{\"u}mmung eine zw{\"a}ngungsfreie Lagerung der Glaselemente gew{\"a}hrleistet. Schließlich erm{\"o}glicht das dritte innovative Prinzip die konsistente Bestimmung einer Stabquerachse auch bei nicht ebenen Viereckmaschen.}, subject = {Entwurf}, language = {de} }