TY - CHAP A1 - Wolkowicz, Christian A1 - Ruth, Jürgen A1 - Stahr, Alexander ED - Gürlebeck, Klaus ED - Könke, Carsten T1 - TOOL TO CHECK TOPOLOGY AND GEOMETRY FOR SPATIAL STRUCTURES ON BASIS OF THE EXTENDED MAXWELL'S RULE N2 - 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. KW - Architektur KW - CAD KW - Computerunterstütztes Verfahren Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170327-30370 UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html ER - TY - THES A1 - Wolkowicz, Christian T1 - Ein Beitrag zur Evolution des Tensegrity-Konzeptes - Zur Erhöhung der Steifigkeit von Seil-Stab-Systemen T1 - A contribution to the evolution of the Tensegriy-concept - About the increase of the stiffness of cable-strut-systems N2 - In der vorliegenden Arbeit werden auf Basis des Tensegrity-Konzeptes Strukturen entwickelt und vorgestellt, welche durch einen signifikanten Steifigkeitszuwachs in der Lage sind, die Anforderungen an die Gebrauchstauglichkeit von Tragwerken zu erfüllen. Selbstverankerte Strukturen mit aufgelösten Druckstäben werden als Seil-Stab-Systeme bezeichnet und sind alleiniger Gegenstand aller angestellten Betrachtungen. Tensegrity-Strukturen sollen eine Untergruppe der Seil-Stab-Systeme darstellen, deren symptomatische Eigenschaft eine sich im Tensegrity-Zustand befindliche Geometrie ist. Einer Definition des Tensegrity-Zustandes folgt ein Überblick über die zur Untersuchung von Seil-Stab-Systemen notwendigen Berechnungsalgorithmen. Der Kern der Arbeit beschäftigt sich zunächst mit dem Einfluss der Geometrie auf die Empfindlichkeit von Seil-Stab-Systemen gegenüber unvermeidlichen Herstellungstoleranzen sowie dem Einfluss von Topologie, Vorspannung, lokaler Steifigkeit der Elemente und Geometrie auf die Steifigkeit dieser Systeme. Darauf aufbauend wird eine Möglichkeit gezeigt, die Steifigkeit von beweglichen Seil- Stab-Systemen merklich zu erhöhen, ohne die Strukturen durch zusätzliche Elemente oder Verbindungen optisch zu verändern. Der zu erzielende Steifigkeitszuwachs wird mittels Vergleichrechnungen und durchgeführten Belastungsversuchen verifiziert. N2 - In the here presented document structures, based on the Tensegrity concept, are developed and introduced which are able to fulfil the demands towards the service state of a load bearing structure due to a significant increase of its stiffness. Self anchored structures with dissolved compression struts are named cable-strut-systems and are the exclusive topic of considerations carried out. Tensegrity structures shall be a sub division of the cable strut systems with a geometry in the Tensegrity state as the determining characteristic. After a definition of the Tensegrity state an overview about the calculation algorithms necessary for the examination of cable-strut-systems is given. The main part initially deals with the influence of geometry on the sensitivity of cable-strut systems against unavoidable manufacturing tolerances as well as with the influence of topology, pre-stress, local stiffness of the elements and the geometry on the stiffness of those systems. Based on these considerations an opportunity to increase the stiffness of kinematic cable-strut systems significantly without changing the visual effects by adding elements is presented. Comparative calculations and mock-up tests were used to verify the achievable increase of the stiffness. T3 - Konstruktion und Gestalt - 2008/01 KW - Tensegrity KW - Steifigkeit KW - Vorspannung KW - Seiltragwerk KW - Fuller, Richard Buckminster KW - Tensegrity KW - cable-strut-systems KW - pre-stress KW - mechanism KW - stiffness Y1 - 2008 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20090417-14659 ER - TY - CHAP A1 - Stahr, Alexander A1 - Ruth, Jürgen A1 - Wolkowicz, Christian ED - Gürlebeck, Klaus ED - Könke, Carsten T1 - ... WITHOUT RIGHT ANGLE. N2 - 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. KW - Architektur KW - CAD KW - Arthur Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170327-30248 UR - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html ER -