[0001] The invention refers to a geometrical profile and a flexible assembling method for
the module-elements of a geodome.
[0002] It is well known that the structure of a geodome attempts to reproduce the form of
a spherical dome of polygons (rectangles, pentagons, hexagons), which can also be
split into triangles of various sizes. A construction designed on such a structure
is particularly appreciated because of the advantages offered by the fact that it
represents a minimum area which encloses a maximum volume and also because of the
advantage of being an isotropic structure for the mechanical external forces.
[0003] There are known mathematical procedures to determine the decomposition polygons,
the form, the number and optimum size of polygonal and triangular elements, depending
on the size and conditions of the desired location and on the destination of the construction.
The way the structure is realized is difficult due to the angles of the jointing of
edges and facets.
[0004] Two possible approaches are known in order for a construction to be carried out under
the form of a geodome: by predefining the angles between edges in each node of their
intersection using purpose-built connectors (there are different connectors known,
such as: the star connector, patented in 2007 by Blair F. Wolfram, the conical connector,
patented by Richard T. Robinson in 1983, the metal flower, patented by Heather Marie
Hava 2013, etc.) and by predefining the dihedral angles between facets by means of
creating triangular elements (modules) having their jointing facets appropriately
inclined. If for the first method solutions with a high degree of flexibility were
found, applicable in various decompositions and triangulations, the second method
is less applied because the diversity of the dihedral angles between facets raises
serious construction problems.
[0005] In general, most of the geodesic structures are made on a metal or wood frame support
connected in the nodes of the intersecting edges. Most approach the geodome as a connected
bar-structure, covered afterwards with various materials, and not as a reunion of
inter-connected 3D objects. The main inconvenient of such structures is given by the
assembling modality and, subsequently, by that of coating and insulation. Special
connectors are needed for the peaks and the structure requires a metal or wooden-made
frame, over which coating or insulation materials can be applied. Such structures
have a high cost, generally a heavy weight, and are sometimes conditioned by the access
to the assembling location of the equipment that could enable the handling of the
materials.
[0006] There are also structures with curved decompositions of the spherical dome. Such
an example would be the invention "SYSTEM AND ETHOD FOR MODULAR CONSTRUCTION OF A
DOME STRUCTURE AND ASSEMBLY COMPONENTS FOR FACILITATING SAME" by
Salah ELDELIB, No. WO 2008/014587 A1. The implementation of the structure requires a means of transportation, as well
as assembling equipment dedicated to the construction. Another example is the invention
called "MODULAR CONSTRUCTION FOR A GEODESIC DOME", belonging to the inventor
James A Gavette, US Patent No. 5628154. The strength of the structure presented lies in the geodesic form that maintains
a spherical shape, but which has the disadvantage that its rigid joint system doesn't
allow a high flexibility in case of extreme external conditions.
[0007] A more similar example to the present suggested invention is the "Top-down method
of assembling dome structures" belonging to
James D McCarten, US Patent No. 07228671, which displays an original method of assembling a modular structure consisting of
the carcasses of some modules (the interior part and, possibly, the insulation are
to be installed afterwards) using a pulley device. The module elements out of which
the structure is made have plane joint facets and, consequently, plane predefined
dihedral angles from the modules' manufacturing moment (most likely by leaking into
moulds).
[0008] The binding system of module elements exemplified in the above invention, although
simple, brings about a number of disadvantages. First, it stiffens the structure and
it makes it more vulnerable to extreme external elements. Another disadvantage is
rendered by the fact that between the planes of two module-elements, there is a dihedral
angle generated by the positioning of the peaks of the module-elements on the surface
of the geodome's theoretical sphere. This dihedral angle must be made with sufficient
precision so that the sides of two module-elements remain in contact after the assembly
of all module-elements. This condition would mainly provide self-supporting, meaning
that all module-elements would consistently retreive and transmit the mechanical forces
given by the structure's weight and by the exterior forces, such as wind pressure,
snow weight or frost, as well as it would meet the sealing condition. The constructive
solution of the analysed invention has the disadvantage that the dihedral angle between
two adjacent assembled modules is constructively predefined at a fixed value that
does not allow angular positioning of the modules under real manufacturing and assembling
conditions of the construction. This is likely to introduce internal tensions in the
construction since its installation, which could lead to damaging the assembly profile,
breaking the indexing profile, discontinuing the path of transmitting mechanical loads
from one element to another element, and thus to overloading other elements and, eventually,
to destructing the balance of forces within the structure.
[0009] Another disadvantage of the assembly system previously introduced consists of the
fact that, for each decomposition (triangulation) chosen to build a geodome, the dihedral
angles between the module-elements differ, so it is not possible to reach a serialisation
of these modules, which leads to high execution costs.
[0010] A purpose of the present invention is to provide an assembly between module-elements
which is no longer dependent on the value of the dihedral angle between the planes
of two adjacent modules. In this way, it becomes a universal joint for all geodome
modules, regardless of decomposition (triangulation).
[0011] Another purpose of the invention is to provide a profile for the joint between two
module-elements which would allow the angular auto-positioning of the modules through
redistributing and equalizing angular deviations caused by execution imperfections.
[0012] Another purpose of the invention is to provide a profile of the joint between two
module-elements which would retrieve and evenly distribute the mechanical forces within
the structure and which would ensure, at the same time, the sealing of the joint.
[0013] The semi-cylindrical flexible joint between two module-elements of a geodome, according
to the invention, consists of the processing, on the entire length of the joint, of
a semi-cylindrical convex or, respectively, concave profile so that the convex profile
of the side of a module should get assembled with the pair concave profile of the
side of the adjacent module.
[0014] Two neighbouring modules join the assembling-fastening elements of the sides that
get into contact. In this this way, a self-supporting construction is created without
being necessary for the inner beams or for the additional strengthening veins to exist.
[0015] In the pre-assembling phase, the assembling-fastening elements of the sides which
come into contact are fastened in an intermediate position so that after installing
all the modules they should auto-position themselves on the sphere, as a result of
the natural tendency of the minimum effort, retrieving and equally redistributing
to all modules the inaccuracies of execution; afterwards, all connections will stiffen
in the final tightening stage of the assembling-fastening elements.
[0016] The auto-positioning is possible due to the concave/convex semi-cylindrical contact
surface, between two adjacent modules.
[0017] To ensure also the sealing between the two semi-cylindrical contact surfaces a thin
diaphragm made of a waterproof elastic material, such as a strip of rubber or plastic
foil, will be inserted. This diaphragm will allow, in the pre-assembling stage, the
sliding and auto-positioning of the sides of these modules in contact, after which,
at the final fastening, the diaphragm will be crushed between the contact surfaces,
taking on their unevenness and roughness, ensuring, on the one hand, the sealing,
and on the other hand, an enhanced grip between the sides of the two adjacent modules.
[0018] The semi-cylindrical flexible joint between the module-elements of a geodome, according
to the invention, has the advantage that it eliminates the difficulty of the strict
implementation of the jointing dihedral angle of the elements, as well as the difficulties
caused by the imperfections of the surface where the construction will be located.
[0019] Another advantage of the invention is that the semi-cylindrical profile is universally
valid for all sizes of module-elements.
[0020] What follows is an example of the way in which the invention can be leaked into shape,
without thereby limiting the applicability of the invention, in direct connection
to the figures below, which represent:
Fig. 1 Overview of a geodome with triangular module-elements
Fig. 2 Assembly of side-by-side module-elements
Fig. 3 Display of module-elements on the sphere and on the dihedral angle between
them
Fig. 4 Cross section through the M shaped frame of a module-element
Fig. 5 Cross section through the T shaped frame of a module-element
Fig. 6 Dihedral angle within the concave/convex semi-cylinder joint
Fig. 7 Semi-cylindrical surfaces with longitudinal channels applied
[0021] The module-elements that give the best approximation of the theoretically spherical
surface of the geodome are the triangles (
Fig. 1, Fig. 2). Depending on the required application, the structure can be adapted by changing
the number of component modules and module size. Triangles assembling is carried out
by fastening the adjacent sides (
Fig. 2) with some fastening elements
1. Under these conditions, between the flat surfaces of triangular module-elements
the dihedral angle
α appears (
Fig. 3).
[0022] It can be seen that, for a family of geodomes, using the same module-element, but
increasing or decreasing the number of module-elements, and/or proportionally changing
the length of the sides, the dihedral angle
α encompassed in the range (
166°- 173°) enables the peaks to fit on the surface of the sphere; in addition, with the same
geodome, the classification in the range
Δα = (166°-173°) satisfactory covers the execution of the module-elements with an acceptable
economic precision.
[0023] The adjacent sides are processed with semi-cylindrical coupling profiles of a concave/convex
type, marked "M" (
Fig. 4) or "T" (
Fig. 5).
[0024] The processing of the longitudinal semi-cylindrical concave surface "M" of radius
R (
Fig. 4) is made at a
h<R depth, so that the centre of the cylinder of radius
R is at a distance
X from the frontal surface of the ruler (
R=h+X). At the intersection of the frontal surface of the ruler and the semi-cylindrical
concave surface, a generator
A appears.
[0025] The processing of the longitudinal semi-cylindrical convex surface "T" of radius
R (
Fig. 5) is made following the depth
R so that the connection of the semi-cylinder with the side of the ruler should be
made according to a generator
B.
[0026] By assembling the T-M profiles of the sides of two side-by-side module-elements (
Fig. 6) it can be seen that the dihedral angle
α can have the minimum value when the generator A of the convex profile T gets into
contact with the generator
B from the concave profile M.
[0027] Taking into consideration the minimum value
α=166°, hence
β=14°, and by an elementary trigonometric calculation it results that the maximum value
that X can have is X=R* sin 14°, respectively X=0.24*R. (
Fig. 6), the depth of the processing cavity being h=0.76*R. Using the same reasoning, it
appears that the mounting surface, as the contact area that retrieves and transmits
the mechanical forces into the structure, in the case of the semi-cylindrical assembling,
is
32,5% higher than if the module-elements had the flat contact surfaces inclined at the
same angle.

[0028] Between the two semi-cylindrical contact surfaces there may be interposed a thin
elastic and waterproof diaphragm
2 (
Fig. 6). This diaphragm would allow, in the pre-assembling phase, the sliding and auto-positioning
of the sides of the modules in contact, and after that, in the final fastening stage,
it would be crushed between the contact surfaces taking on their irregularities and
roughness, thus providing at first their sealing and then an enhanced grip between
the sides of two adjacent modules.
[0029] To increase the capacity of retrieving and redistributing the mechanical forces occurring
in the geodome's structure, the semi-cylindrical surfaces can be processed with triangular
longitudinal grooves or of other forms, which, at the final fastening of the assembling,
will engage/get fixed between them (
Fig. 7)
1. Flexible semi-cylindrical joint for a geodome structure characterised by the fact that the contact sides of the two module-elements are profiled along their
entire length according to a semi-cylindrical form of radius R, concave of type M
or convex of type T.
2. Flexible semi-cylindrical joint for a geodome structure characterised by the fact that the concave shape processing is done to a depth of 76% of the radius
R of the cylinder.
3. Flexible semi-cylindrical joint for a geodome structure, according to claims 1 and
2, characterized by the fact that in the pre-assembling phase it enables the angular auto-positioning
of the module-elements with the equalization of the dihedral angles and the uniform
distribution of the mechanical forces across the structure.
4. Flexible semi-cylindrical joint for a geodome structure, according to claims 1, 2
and 3, characterized by the fact that the entire structure is self-supporting and does not require additional
support and consolidation frames.
5. Flexible semi-cylindrical joint for a geodome structure, according to claims 1 and
2, characterized by the fact that it favours the realization of a geodome family, with different diameters,
the dihedral angle between the two modules between 166° and 173° using the same module-elements,
but in different amounts.
6. Flexible semi-cylindrical joint for a geodome structure, according to claims 1 and
2, characterized by the fact that between the two semi-cylindrical coupling surfaces there can be applied
a waterproof elastic sealing foil to increase the adherence between the semi-cylindrical
surfaces in contact.
7. Flexible semi-cylindrical joint for a geodome structure, according to claims 1 and
2, characterized by the fact that on the two semi-cylindrical coupling surfaces there can be processed
some longitudinal grooves, triangular or of other shape, which, at the final fastening
of the assembly, will engage each other.