Optimum compactness structures derived from the regular octahedron

Suárez, Jesús M.; Gancedo, Enrique Antuña; Álvarez, José Marcos Alonso; Morán, Antonio

doi:10.1016/j.engstruct.2008.04.030

Cited by 5 publications

(2 citation statements)

References 6 publications

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“…As shown in Figure 7, the change in N with increasing p becomes smaller as the number of faces of polyhedra increases from the {100} cube with 6 to the {100}-{111}-{110} polyhedron with 26. Among the various polyhedra shown in Figure 3 ≈ 5.05 has the minimum total surface area S for the same V [8,10]. The a and b dependence of N can be calculated easily using the results shown in the appendix.…”

Section: Shape Transitions Of Superspheres From a Sphere To Various Pmentioning

confidence: 97%

Superspheres: Intermediate Shapes between Spheres and Polyhedra

Onaka

2012

Symmetry

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Abstract:Using an x-y-z coordinate system, the equations of the superspheres have been extended to describe intermediate shapes between a sphere and various convex polyhedra. Near-polyhedral shapes composed of {100}, {111} and {110} surfaces with round edges are treated in the present study, where {100}, {111} and {110} are the Miller indices of crystals with cubic structures. The three parameters p, a and b are included to describe the {100}-{111}-{110} near-polyhedral shapes, where p describes the degree to which the shape is a polyhedron and a and b determine the ratios of the {100}, {111} and {110} surfaces.

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Section: Shape Transitions Of Superspheres From a Sphere To Various Pmentioning

confidence: 97%

Superspheres: Intermediate Shapes between Spheres and Polyhedra

Onaka

2012

Symmetry

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“…Compactness measures can be defined typically as functions of volume and surface area. The most common compactness measures are a function of the compactness quotient, indicated by the S/V ratio, S: area of building envelope surface, V: volume of the building (Suárez et al 2008).…”

Section: Comparative Study According To the Level-compactnessmentioning

confidence: 99%

Modelling and Experiment of Buildings Thermo-Aeraulic Behavior According to the Level-Compactness in Saharan Climate Conditions

Bekkouche

Benouaz

Hamdani

et al. 2016

Engineering Structures and Technologies

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A large number of studies of building energy simulation neglect the humidity, or well represented, with a very simplified method. It is for this reason that we have developed a new approach to the description and modelling of multizone buildings in Saharan climate. The concept of the form factor and index compactness “quotient of external walls area and volume of the building” are two of the key elements for analyzing the building geometry. We can introduce it’s as validation tools in some cases. In this paper, governing equations of physical phenomena allow to build a model of the thermo-aeraulic behavior. The primary objective is the validation of numerical results able to determine the humidity and temperature in a multizone space. The calculated results were compared with firstly, experimental values, and secondly with simulated results using TRNSYS software. We check if the results change radically for an invariable compactness index. The comparison shows that the found results are to some extent satisfactory. For buildings of similar thermal properties, especially, the used construction materials, the thermal insulation and thermal inertia level, orientation, etc., the result proves that temperature and specific humidity varie slightly when the compactness index is constant.

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