Form Finding and structural Optimization of Tensile cable dome using Parametric Modelling Tools (original) (raw)
Related papers
Proceedings of the Ninth International Conference on Computational Structures Technology
In this paper, a new framework of form finding and structural optimizations for tensile domes was developed using a cutting-edge parametric modelling tool Grasshopper in Rhino. The detailed exploration of this new techniques is presented. It is found that the use of this parametric tool allows a more intuitive, rapid and flexible design. Structural optimisation of the member sizes, topology and surface can be explored easily at an initial design stage in a project. Therefore, the proposed new framework provides a more effective and efficient way for form finding and structural optimization. Based on the new method, a prototype Tensile dome which is to replicate the existing Tensile Dome Georgia dome is designed and analyzed. The structural behavior of the cable domes is investigated. Using this new framework, two ellipse shape Tensile domes with new geometrical configuration are developed. They exhibit enhanced load bearing capacity, therefore can be used the future long span structure projects.
Advanced form-finding for cable dome structures
2010
A numerical method is presented for form-finding of cable domes. The topology and the types of members are the only information that requires in this form-finding process. Dummy elements are used to transform the cable dome with supports into self-stressed system without supports. The eigenvalue decomposition of the force density matrix and the Singular value decomposition of the equilibrium matrix are performed iteratively to find the feasible sets of nodal coordinates and force densities which satisfy the minimum required rank deficiencies of the force density and equilibrium matrices, respectively. Based on numerical examples it is found that the proposed method is very efficient, robust and versatile in searching self-equilibrium configurations of cable dome structures.
A genetic algorithm for topology optimization of dome structures
Domes are structures widely used in arenas, exhibition pavilions, theaters, terminals, hangars, convention centers, gymnasiums, etc. The structural configuration of those structures allows for a completely free inner space without any interior column. In this paper a genetic algorithm is proposed to solve the weight minimization problem of dome structures composed of standard modules considering configuration, shape, and sizing design variables. The domes are assembled from standard modules and the set of design variables includes sizing design variables (cross-sectional areas of the bars); a shape design variable corresponding to the height of the dome and shape design variables corresponding to the inner diameter of the dome at certain heights. Further, cardinality constraints are introduced to define alternative member groupings of the standard modules. A much larger space of possible solutions is searched, potentially leading to counter-intuitive or non-traditional solutions. Several experiments are performed using a 120-bar dome as test-bed. The adaptive penalty method (APM) is applied to enforce all the mechanical constraints considered in the structural optimization problems discussed in this paper
IJERT-Parametric Study and Optimization of Steel Dome
International Journal of Engineering Research and Technology (IJERT), 2014
https://www.ijert.org/parametric-study-and-optimization-of-steel-dome https://www.ijert.org/research/parametric-study-and-optimization-of-steel-dome-IJERTV3IS071044.pdf Domes are space structures which provide economical solution for covering large column free net precious area for utilization. Sports stadiums, assembly halls, exhibition centers, shopping malls, industrial structures etc. are the some examples where dome is used. This feature provides economy in terms of consumption of constructional material and elegant structures with their splendid aesthetic appearance. In this paper the dome is taken as space truss in which all joints are pinned joints, resulting in to torsion and moment free structure. Thus all members are subjected to tensile and compressive forces only. Even though dome has to be designed only for axial forces, the manual calculations involved is very complex and error prone. Hence an attempt has been made to develop a software in Octave 3.6.4. The software can be used for configuration, analysis, design and weight Optimization of steel dome. The members are designed with tubular steel sections and the effect of dead load and live load has been considered. A parametric study has also been done to establish the variation in weight with height of the dome. This study is extended for the domes with bracings in one and both directions. Parametric study for optimization of dome using different approaches i.e. with discrete and continuous variables is also done. The variation in weight with number of segments along plan has also been done.
Optimisation of Cable Dome Structure Design for Progressive Collapse Resistance
Applied Sciences
Since the literature lacks an effective analysis method of collapse mechanisms and optimisation design theory for progressive collapse resistance of cable dome structure, a structural performance-based optimisation approach was proposed to improve the progressive collapse resistance for cable dome structures in this study. First, the dynamic response and collapse model of a cable dome structure were analysed after its members were removed using Ansys LS-DYNA and the full dynamic equivalent load-based instantaneous unloading method. Second, the importance coefficients of the members were calculated to determine the contribution of each member to the progressive collapse resistance of the structure. Finally, a stepwise optimisation solution was proposed by integrating a global optimisation model, which uses the mean of the importance coefficients of all members as the optimisation index, with a local optimisation model, which minimises the maximum member importance coefficient. The re...
Study of Dome Structure Using Finite Element-Based Software E-Tab for Dynamic Loading
IRJET, 2022
In recent years, there is been an increasing number of structures using steel domes as it is one of the most efficient shapes in the world. It covers maximum volume with the minimum area with no interrupting columns in the middle an efficient shape would be more efficient and economic. Dome roofs are the lightest structure to cover circular shapes. In this research paper, the analysis of steel dome is examined using computer software E-tabs. This paper conducts a deep study of major features of structural analysis of E-tab software. E-tab software has the analysis of its own features option, output option, limitation, and advantages. Dome is one of the powerful architectural representations. This element resembles the hollow upper half of a sphere. In the age of civilizations, the form of the dome was stuck in the public's minds as an iconic sign of a sacred building, but in the present time architects have built domes to achieve new purposes using new building technologies. This paper, therefore, investigates these technologies and outlines the new role of domes following a scientific methodology. It is an element of architecture that resembles the hollow upper half of a sphere. The thickness of the dome is very small compared to its other dimensions-it varies from 75mm to 150mm. A dome is a self-supporting structural element that resembles the curved hollow upper half of a sphere. A dome can rest directly upon walls, columns, a drum, or a system of squinches or pendentives used to support the transition of shape from a square or rectangle to the round or polygonal base of the dome.
Numerical Models of Chosen Types of Dome Structures
2004
The paper presents basic description of shaping processes of tension-strut structures developed by the author and proposed as lightweight structural systems for large span dome covers. In the paper are presented two basic types of the systems, which are built mainly by means of tetrahedral and octahedral modules with the V-shaped bar sets. For all the offered types of structures there are prepared suitable numerical models defined in the programming language Formian. Application of these numerical models considerably accelerates design process of these complex forms of spatial structures and makes possible an easier co-operation between all designers involved in this process.
Numerical Model for High Relative Capacity of Tensegrity Cable Domes
Civil Engineering Dimension, 2020
The tensegrity cable domes are a type of structures composed of compressed bars and tensioned cables. They are characterized by an exceptional innovation in terms of lightness. Research in this area is booming towards multiple applications. In the absence of an approach linking design by dimensioning, this article aims to propose a procedure for verifying the design while seeking a better lightness of the structure. The article uses the novelty of the methods applied for this kind of structure, using the hypothesis of geometric nonlinearity, to find the best solution, verifying all the sizing criteria. Through an example of a simple cables dome, we have shown the feasibility of this approach. The shape of the triangles forming the basis of design, have a direct relationship on the relative capacity, this last has been significantly improved, This method can easily be applied to other examples of more complex cables domes.
Parametric Design and Construction Optimization of a Freeform Roof Structure
Computational Design …, 2012
The design of a free-form roof structure is presented together with an approach to the problem of reducing construction costs and defining an efficient structural behavior for the proposed shape. The design process is supported by the use of the parametric tool, Grasshopper™, in the definition of an optimization problem related to shape-resistant structures, and the Genetic Algorithm, Galapagos™, is used to explore/improve the shape of the 'a priori' defined structure, or better a parametric solution domain of a tentative structure. Finally, a scripting interface between the CAD software, Rhinoceros™, and the FEM solver, Autodesk ROBOT™, is described as a rapid way to check and refine the structural behavior of the overall roof.
PARAMETRIC ANALYSIS OF THE DOME OF THE SPORTS PALACE OF MEXICO CITY
The Sports Palace of Mexico City was built in 1968 and became a turning point in the design and construction of laminar shells, leading the transition from reinforced concrete to metallic grid structures. Felix Candela observed that the use of concrete in designing laminar structures was limited to achieve great spans for sport spaces; he thus changed his first proposal for using a concrete laminar shell to a metallic structure. However, in the first architectural conception of the metallic structure, a lighter cable structure was proposed respecting the built geometry, with the intent of using high-strength wires in the upper and lower chords of the arches. In this paper, three different proposals are modeled. The first uses a 3D modelled concrete shell for understanding the geometry. The others use the final geometry and are analyzed using advanced NURBS (Non-uniform rational Bspline) modeling techniques with Rhinoceros and a parametric design with Grasshopper, where the parameters and results obtained in previous tests are compared with the results obtained in the simulations. Paneling plugins, forces simulation add-ons, finite elements analysis and environmental design simulation tools in Grasshopper are used to compare the results under normal design conditions.