Parametric Design Of Six Single-layer Hyperbolic Paraboloid Shells With Elliptic Horizontal Projection And Seismic Analysis

With the development of social economy,large-span space structure is gaining its’ popularity.At the same time the building appearance and novelty are also more and more required at the foundation that the stability of the structure must be guaranteed.The traditional spherical and cylindrical reticulated shells can cover large space and stand very tall,which make them widely used in large gymnasium and factory buildings.However,the shape and modeling of these kinds of shells always follow the same pattern,lacking of architectural aesthetics.The hyperbolic parabolic reticulated shells have changeable form, of which a single block can be used as a roof, also can make flexible combination. They can be forged into rectangle, rhombus and oval plane,especially are suitable for the museum of art, music hall, medium-sized stadiums and other architecture with high requirements for the construction beauty.The study object of this paper is the single-layer hyperbolic paraboloid shells with elliptic horizontal projection,of which the cable arch orthogonal characters can create changeable internal space,bringing in more modern architecture arts.Through similar shell examples from related literature.this paper create similar model in accordance with the main characteristics of the literature archetype. The usage of the finite element analysis software ANSYS helps to analysis the general characteristics of static and dynamic reaction of this kind of hyperbolic paraboloid reticulated shells and obtain some important conclusions. The main contents are as follows:1. Base on the hyperbolic parabolic equation ,where f means rise,S1 means long span,S2 means short span,this paper create the parametric design of the single-layer elliptic hyperbolic paraboloid shells.Using ribbed,Lamellae,Kiewitt,Schwedler,Geodesic and three-dimensional ellipsoid reticulated shell for reference,this paper established six kinds of hyperbolic paraboloid shell models with elliptical horizontal projection.The parametric design of the reticulated shell structure could be realized after inputting the rise(F),span(S),the grid number of each side(Kn),the warping rate(K),which provided great convenience for optimizing the structure and force analysis.Taking gravity into consideration, applying static load to these structures, and by comparing the displacement and stress nephogram under different parameters,this paper induced the suitable span and rise of the respective six structure models.2. Based on the the cable arch orthogonal characteristics of the hyperbolic paraboloid,this paper deduced the formulas between the bar length and parameters of six kinds of hyperbolic paraboloid shells.In the progress of structural design, with the given span and rise, the engineers could use the formulas to ensure the rod length requirements, and lay the foundation for the structural optimization design.3. Chose the two kinds of shells that performed best under static analysis and to which both impose dynamic loads,then derive the displacement time-history curves of the node and displacement nephogram using Time-history analysis.At last find the most influential factor through seismic response of the structures.