This thesis presents a geometry design method to generate the surfaces of the globoidal cam with the conical roller follower. Based on the trace of the rigid body and the theory of differential geometry, the conjugate surfaces can be the offset surfaces of the ruled surface. With different roller¡¦s axial height, its radius and the meshing vector also be changed. For this reason, the contact points on the outward roller are hard to find. To overcome this problem, we propose the triangular graph with meshing angle, it can present the vector quantity caused from the motion angle. We replace it into the procedures of the rigid body transformation method to derive the cam surfaces with the conical roller follower. Furthermore, two models with modified sine and constant velocity motion curves are generated and analyzed.

Neste trabalho estudamos a topologia local, trivialidade topolóogica e as singularidades de superfícies regradas em \'R POT.3\'. O objetivo do trabalho é comparar as singularidades que ocorrem no conjunto das superfícies regradas com as singularidades de germes de aplicações de \'R POT.2\' em \'R POT.3\', fazer a classificação topológica local e estudar a trivialidade topológica de famílias de superfícies regradas. Finalmente, discutimos possíveis generalizações de superfícies regradas para altas dimensões / We study the local topology, topological triviality and singularities of ruled surfaces in \'R POT.3\'. In this work we compare the singularities of germs from \'R POT.2\' to \'R POT.3\' with the singularities appearing in the set of ruled surfaces, doing a local topology classification of the ruled surface and study the topological triviality of families of ruled surfaces. Finally we will try to give possible generalizations of ruled surfaces for higher dimensions.

Neste trabalho estudamos a topologia local, trivialidade topolóogica e as singularidades de superfícies regradas em \'R POT.3\'. O objetivo do trabalho é comparar as singularidades que ocorrem no conjunto das superfícies regradas com as singularidades de germes de aplicações de \'R POT.2\' em \'R POT.3\', fazer a classificação topológica local e estudar a trivialidade topológica de famílias de superfícies regradas. Finalmente, discutimos possíveis generalizações de superfícies regradas para altas dimensões / We study the local topology, topological triviality and singularities of ruled surfaces in \'R POT.3\'. In this work we compare the singularities of germs from \'R POT.2\' to \'R POT.3\' with the singularities appearing in the set of ruled surfaces, doing a local topology classification of the ruled surface and study the topological triviality of families of ruled surfaces. Finally we will try to give possible generalizations of ruled surfaces for higher dimensions.

Estudaremos as singularidades genéricas de superfécies regradas em R3. O objetivo do trabalho é mostrar que as singularidades genéricas que ocorrem no conjunto das superfícies regradas são as mesmas que ocorrem no conjunto das aplicações diferenciáveis de R2 em R3, enquanto que as singularidades genéricas das superfícies desenvolvíveis, que formam um subconjunto das superfícies regradas, são mais degeneradas. / We study generic singularities of ruled surfaces in R3. In this work we show that generic singularities appearing in the set of ruled surfaces are the same that occur in the set of map germs from R2 to R3, while the generic singularities of developable surfaces are more degenerate.

Estudaremos as singularidades genéricas de superfécies regradas em R3. O objetivo do trabalho é mostrar que as singularidades genéricas que ocorrem no conjunto das superfícies regradas são as mesmas que ocorrem no conjunto das aplicações diferenciáveis de R2 em R3, enquanto que as singularidades genéricas das superfícies desenvolvíveis, que formam um subconjunto das superfícies regradas, são mais degeneradas. / We study generic singularities of ruled surfaces in R3. In this work we show that generic singularities appearing in the set of ruled surfaces are the same that occur in the set of map germs from R2 to R3, while the generic singularities of developable surfaces are more degenerate.

Schalentragwerke werden derzeit häufig aus Stahl oder Holz gebaut, dagegen findet Beton aus diversen Gründen selten Verwendung. Dies liegt unter anderem an der aufwändigen und daher kostenintensiven Schalungsherstellung [1], [2]. Werden Schalen mit einer Regelflächengeometrie entworfen, kann die Anwendung von Beton wieder wirtschaftlich sein. Regelflächen werden aus Geraden erzeugt und weisen dennoch eine doppelte Krümmung auf. Dadurch kann die Schalung aus geradlinigen Elementen (z. B. Holzbrettern) oder für eine höhere Präzision mit einer Heißdrahtschneidemaschine hergestellt werden. Somit lässt sich das effiziente Tragverhalten doppelt gekrümmter Schalen mit einer vergleichsweise einfachen Herstellung vereinen [3], [4]. [Aus: Einführung] / These days, shell structures are generally made of steel or wood, whereas concrete is rarely used. One reason for this is the complex and therefore cost-intensive production of formwork [1], [2]. However, with the use of ruled surface geometries, the use of concrete can once again become economical. Ruled surfaces are created from straight lines and still can have a double curvature. This allows the formwork to be made from straight elements (e.g. wooden boards) or for greater precision, with a hot wire cutting machine. Thus, the effcient load-bearing behaviour of doubly curved shells can be combined with a comparatively simple production process [3], [4]. [Off: Introduction]

The architectural project of Exhibition Hall is located in a part of Brno-Pisárky, in northern area of BVV. The objective of the land-use planning and architectural proposal was to integrate the Hall in proximity to the second entry of BVV. The pavilion is situated on the primary northen axe, which perpendiculary join the pedestrian bridge. The binding foot-bridge is used for path between the entry of BVV and the western entry into the exhibition section. Surrounding the building is situated green park. There are open areas for pedestrian, tree-hemmed paths and relaxation spots around the entire building. The exhibition hall combines four basic parts: the western entrance connected with the pedestrian bridge, public part, storage part and the multi-purpose exhibition space in between. There are two-floor restaurant and snack bars with an open view to the south part of BVV, in particular to the Hall Z. The pavilion was concieved as a ruled rectangular volume. The creative proposal was to involve the ruled surface geometry, which is formed by connecting two curves with a series of straight lines and covers the entire building. The outer curtain wall is implied «the Curtains», reveals a lightness and airiness by dynamic effect. Geometrical curved profiles clearly point the basic entry spaces outside the exhibition hall. The western entry section allows two different points of entrance: from the pedestrian bridge to the first level and from the ground level. In time of trade fairs there are possibilities to use industrial doors along northern and southern elevations as a secondary entrances. There is a lobby space with the monumental staircase in the centre of public section. The circular shape of staircase rises towards atrium. A collaboration of atrium and natural lighting optically extends and makes easier the foyer space. In addition to the trade fairs, the multi-purpose exhibition hall permits diverse possibilities of using – in time of cultural and sports events u