CN106202798A - A kind of constructive method of bionical spiral net shell - Google Patents
A kind of constructive method of bionical spiral net shell Download PDFInfo
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- CN106202798A CN106202798A CN201610581606.8A CN201610581606A CN106202798A CN 106202798 A CN106202798 A CN 106202798A CN 201610581606 A CN201610581606 A CN 201610581606A CN 106202798 A CN106202798 A CN 106202798A
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Abstract
The invention discloses the constructive method of a kind of bionical spiral net shell, comprise the following steps: drafting sunflower seeds growth arranges, builds No. I helix, No. II helix of structure, the Kai Weite net shell of drafting, generation plane roof system, generates No. I spatially spiral line and No. II spatially spiral line, No. I spatially spiral line of array, No. II spatially spiral line of array, formation monolayer spiral net shell.The present invention uses Parametric Design Technology, and the constructionization that " Spatial prototype " can carry out complexity processes and design amendment.The present invention correctly simulates the building structure not only materials province of organism structure, intensity is high, rigidity is big, good stability, and it is beautiful to be rich in the art of architecture.The present invention follows and payes attention to nature rule, is successfully applied to bionic principle, creates novelty, the construction style of adaptation local environment, safeguards regional view.The present invention has ensured the combination of environmental ecology, economic benefit and novel form.
Description
Technical field
The invention belongs to the constructive method of a kind of net shell, be specifically related to the constructive method of bionical spiral net shell.
Background technology
Under building the overall background of development in harmonious co-existence between man and nature, energy-saving and cost-reducing, sustainable, environmental protection direction from
Bionical angle change Architecture Thought of Design becomes necessary.Bionic shaping design reflects the social mentality of people's back to nature and needs
Ask；Ecological technique is bionical, is the developing direction of current Bionic Design, is the new problem realizing the sustainable development architecture demand, body
Show zeitgeist.
Helix is the beautiful space form of one that nature exists, and its distinctive attribute is: fixing around one
The curve that point (limit) outwards from coil to coil curls up and ultimately forms.Helical structure has universal connection with life and the growth of nature
System, helical structure also the most generally exists in non-living world and the artificial world simultaneously.Log spiral is the most normal in nature
The helical structure seen, embodies the diffusion of energy and the extension of growth intuitively.
In architectural design field, helical wire form is rich as preferable Spatial prototype, architect to its deduction
Rich colorful.
California, USA designer has used for reference lighting principle to Herba Plantaginis, devises helical arrangement big of 13 layers, a building
Building, result proves, each room can obtain the sunlight of abundance.
Swiss Re Headquarters is by Britain's famous architect promise graceful Foster design.It is in opposite direction by two groups
Article 18, helix Special composition Double helix net shell, and formed without space in the building of post with indoor horizontal primary structure member.
The design that the Garden of Eden Education Center of Cornwall,British is carried out using " the growth sequence " of plant as space prototype.
It is respectively the bar number of two race's helixes in opposite direction with adjacent Fibonacci number 34 and 21;Helix is from central nucleus portion
Stretch to the periphery, just as strain growing plants (form exactly likes Helianthi and strobile) in nature.
Tianjin Yu Jiabao Roof of Beijing Southern Railway Station is shell-like single-layer latticed shell, and welding box-shaped rods is space Double helix interwoven
Put, be the single-layer latticed shell of current state interior span maximum.Its profile is by the shell-like hyperbolic of positive and negative helix braiding
Face, net shell rod member is formed by 36 groups of spatially spiral line interlacings clockwise and anticlockwise, just connects between rod member.
But how to build bionical roof system, rarely have explanation, present invention application logarithmic spiral curve, carry out parametrization and build bionical
Roof system, discloses the constructive method of a bionical roof system of class.
Summary of the invention
The present invention solves that problem that prior art exists proposes, its objective is to provide the structure of a kind of bionical spiral net shell
One-tenth method.
The technical scheme is that the constructive method of a kind of bionical spiral net shell, comprise the following steps:
() draws sunflower seeds growth arrangement
Utilize Vogel's formula equation, draw sunflower seeds growth arrangement by Maple.
() builds No. I helix
Building No. I helix based on logarithmic spiral family of curves equation, the polar equation of log spiral is:
R is footpath, pole, i.e. a little to the distance the limit of center from helix；
The angle that θ is rotated by helix Shang Dianrao center limit；
A, e and k are constant, and e is the truth of a matter of logarithmic function, k=tan α；
To equation (1) proper transformation, its clockwise direction spiral curve race cartesian coordinate equation is:
β is fixed value, and changing can be to adjust the form of helix；
No. I helix is built by equation (2), equation (3).
() builds No. II helix
Build No. II helix based on to Bernoulli Jacob's curvilinear equation, use Bernoulli Jacob's helix equation, its cartesian coordinate equation
For:
No. II helix is built by equation (4).
The Kai Weite net shell that () draws
For being connected with peripheral helicoid shell node, draw Kai Weite net shell.
() generates plane roof system
By No. I helix in step (), No. II helix in step () rotates and generates plane roof system.
() generates No. I spatially spiral line and No. II spatially spiral line
Vertically asessory shaft stretches No. I helix and forms face, and becomes No. I spatially spiral line with roof system place curved surface intersecting shape；
Vertically asessory shaft stretches No. II helix and forms face, and becomes No. II spatially spiral line with roof system place curved surface intersecting shape.
No. I spatially spiral line of () array
To No. I spatially spiral line along pole axis array n times.
No. II spatially spiral line of () array
To No. II spatially spiral line along pole axis array n times.
() forms monolayer spiral net shell
With spherical crown summit as reference point, laminating step () and the array of figure of step (), and prune above-mentioned array of figure mid-level net
The part that lattice are the least, gives transition with Kai Weite net shell, forms monolayer spiral net shell.
Kai Weite net shell broadwise six ring in step (), outermost totally 36 nodes.
In step (), step (), No. I spatially spiral line, No. II spatially spiral linear array are 36 times.
Rod member in described monolayer spiral net shell uses welding box-shaped rod member, and described welding box-shaped rod member passes through cross dividing plate
Weld No. I gusset plate, No. II gusset plate is connected.
The present invention uses Parametric Design Technology, and construction process and design that " Spatial prototype " can carry out complexity are repaiied
Change.
The present invention, by reconstruct helix, allows " human civilization " to talk with " natural law ", talk with.
What the present invention was popular has deduced a kind of bionic design method from the mechanical characteristic of nature image, structure pass
The draw inspirations such as system, material property, are applied in the structure design of building, it is achieved the functional requirement that traditional structure cannot realize.
The present invention correctly simulates the building structure not only materials province of organism structure, intensity is high, rigidity is big, stability
Good, and it is beautiful to be rich in the art of architecture.
The present invention follows and payes attention to nature rule, is successfully applied to bionic principle, creates novelty, adapts to local ecology
The construction style of environment, safeguards regional view.
The present invention has ensured the combination of environmental ecology, economic benefit and novel form.
Accompanying drawing explanation
Fig. 1 is sunflower seeds based on " growth sequence " arrangement simulation schematic diagram；
Fig. 2 is No. I helix in the present invention；
Fig. 3 is No. II helix in the present invention；
Fig. 4 is the Kai Weite net shell top view in the present invention in the middle of roof system.
Fig. 5 is that in the present invention, No. I helix and No. II helix rotate the plane roof system generated；
Fig. 6 is No. I helix and the schematic three dimensional views of No. II spiral alignment roof system place curved surface projection in the present invention；
Fig. 7 is the curve that formed after No. I spiral alignment roof system place curved surface projection in the present invention three-dimensional along pole axis array 36 times
Schematic diagram；
Fig. 8 is the curve that formed after No. II spiral alignment roof system place curved surface projection in the present invention three-dimensional along pole axis array 36 times
Schematic diagram；
Fig. 9 is the shaft side figure of bionical net shell in the present invention；
Figure 10 is bionical net shell top view in the present invention；
Figure 11 is interior joint structural map of the present invention；
Wherein:
2 No. II helixes of 1 No. I helixes
3 triumphant Witter 4 No. I spatially spiral lines of net shell
5 No. II vertical asessory shafts of spatially spiral line 6
8 No. II gusset plates of 7 No. I gusset plates
9 welding box-shaped rod members.
Detailed description of the invention
Hereinafter, referring to the drawings and embodiment the present invention is described in detail:
As shown in Fig. 1 ~ 11, the constructive method of a kind of bionical spiral net shell, comprise the following steps:
() draws sunflower seeds growth arrangement
Utilize Vogel's formula equation, draw sunflower seeds growth arrangement by Maple.
() builds No. I helix
Building No. I helix 1 based on logarithmic spiral family of curves equation, the polar equation of log spiral is:
R is footpath, pole, i.e. a little to the distance the limit of center from helix；
The angle that θ is rotated by helix Shang Dianrao center limit；
A, e and k are constant, and e is the truth of a matter of logarithmic function, k=tan α；
The form of logarithmic function is closely related with parameter k, which control elasticity and the direction of helix.Work as k > 0 and constantly increase
Added-time, helix will be far from focus and the most infinitely stretches；As k=0, it will obtain a circle with a as radius；
As k < 0 and when being continuously increased, the attraction by focus is the most infinitely shunk by helix.The numerical value of k more levels off to
Infinity, helix more trends towards being extended into straight line；The numerical value of k more levels off to 0, and helix is the tightliest cuddled up in a heap.
To equation (1) proper transformation, its clockwise direction spiral curve race cartesian coordinate equation is:
β is fixed value, and changing can be to adjust the form of helix；
No. I helix 1 is built by equation (2), equation (3).
() builds No. II helix
Build No. II helix 2 based on to Bernoulli Jacob's curvilinear equation, use Bernoulli Jacob's helix equation, its cartesian coordinate equation
For:
No. II helix 2 is built by equation (4).
The Kai Weite net shell that () draws
For being connected with peripheral helicoid shell node, draw Kai Weite net shell 3.
() generates plane roof system
By No. I helix 1 in step (), No. II helix 2 in step () rotates and generates plane roof system.
() generates No. I spatially spiral line and No. II spatially spiral line
Vertically asessory shaft 6 stretches No. I helix 1 and forms face, and becomes No. I spatially spiral line 4 with roof system place curved surface intersecting shape；
Vertically asessory shaft 6 stretches No. II helix 2 and forms face, and becomes No. II spatially spiral line with roof system place curved surface intersecting shape
5。
No. I spatially spiral line of () array
To No. I spatially spiral line 4 along pole axis array n times.
No. II spatially spiral line of () array
To No. II spatially spiral line 5 along pole axis array n times.
() forms monolayer spiral net shell
With spherical crown summit as reference point, laminating step () and the array of figure of step (), and prune above-mentioned array of figure mid-level net
The part that lattice are the least, gives transition with Kai Weite net shell 3, forms monolayer spiral net shell.
Kai Weite net shell 3 broadwise six ring in step (), outermost totally 36 nodes.
In step (), step (), 4, No. II spatially spiral line 5 array of No. I spatially spiral line is 36 times.
Step (), step () can be, but not limited to be drawn by Maple mathematical tool.
Step () can be, but not limited to be drawn by AutoCAD mapping software.
Rod member in described monolayer spiral net shell uses welding box-shaped rod member 9, described welding box-shaped rod member 9 by cross every
Plate welding 7, No. II gusset plate of No. I gusset plate 8 is connected.
The present invention uses Parametric Design Technology, and construction process and design that " Spatial prototype " can carry out complexity are repaiied
Change.
The present invention, by reconstruct helix, allows " human civilization " to talk with " natural law ", talk with.
What the present invention was popular has deduced a kind of bionic design method from the mechanical characteristic of nature image, structure pass
The draw inspirations such as system, material property, are applied in the structure design of building, it is achieved the functional requirement that traditional structure cannot realize.
The present invention correctly simulates the building structure not only materials province of organism structure, intensity is high, rigidity is big, stability
Good, and it is beautiful to be rich in the art of architecture.
The present invention follows and payes attention to nature rule, is successfully applied to bionic principle, creates novelty, adapts to local ecology
The construction style of environment, safeguards regional view.
The present invention has ensured the combination of environmental ecology, economic benefit and novel form.
Claims (4)
1. the constructive method of a bionical spiral net shell, it is characterised in that: comprise the following steps:
() draws sunflower seeds growth arrangement
Utilize Vogel's formula equation, draw sunflower seeds growth arrangement by Maple；
() builds No. I helix
Building No. I helix (1) based on logarithmic spiral family of curves equation, the polar equation of log spiral is:
R is footpath, pole, i.e. a little to the distance the limit of center from helix；
The angle that θ is rotated by helix Shang Dianrao center limit；
A, e and k are constant, and e is the truth of a matter of logarithmic function, k=tan α；
To equation (1) proper transformation, its clockwise direction spiral curve race cartesian coordinate equation is:
β is fixed value, and changing can be to adjust the form of helix；
No. I helix (1) is built by equation (2), equation (3)；
() builds No. II helix
Build No. II helix (2) based on to Bernoulli Jacob's curvilinear equation, use Bernoulli Jacob's helix equation, its cartesian coordinate side
Cheng Wei:
No. II helix (2) is built by equation (4)；
The Kai Weite net shell that () draws
For being connected with peripheral helicoid shell node, draw Kai Weite net shell (3)；
() generates plane roof system
By No. I helix (1) in step (), No. II helix (2) in step () rotates and generates plane roof system；
() generates No. I spatially spiral line and No. II spatially spiral line
Vertically asessory shaft (6) stretches No. I helix (1) and forms face, and becomes No. I spatially spiral with roof system place curved surface intersecting shape
Line (4)；
Vertically asessory shaft (6) stretches No. II helix (2) and forms face, and becomes No. II space spiral shell with roof system place curved surface intersecting shape
Spin line (5)；
No. I spatially spiral line of () array
To No. I spatially spiral line (4) along pole axis array n times；
No. II spatially spiral line of () array
To No. II spatially spiral line (5) along pole axis array n times；
() forms monolayer spiral net shell
With spherical crown summit as reference point, laminating step () and the array of figure of step (), and prune above-mentioned array of figure mid-level net
The part that lattice are the least, gives transition with Kai Weite net shell (3), forms monolayer spiral net shell.
The constructive method of a kind of bionical spiral net shell the most according to claim 1, it is characterised in that: triumphant in step ()
Witter net shell (3) broadwise six ring, outermost totally 36 nodes.
The constructive method of a kind of bionical spiral net shell the most according to claim 1, it is characterised in that: step (), step
In (), No. I spatially spiral line (4), No. II spatially spiral line (5) array are 36 times.
The constructive method of a kind of bionical spiral net shell the most according to claim 1, it is characterised in that: described monolayer spiral net
Rod member in shell uses welding box-shaped rod member (9), and described welding box-shaped rod member (9) welds No. I gusset plate by cross dividing plate
(7), No. II gusset plate (8) is connected.
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| Application Number | Priority Date | Filing Date | Title |
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| CN201610581606.8A CN106202798B (en) | 2016-07-22 | 2016-07-22 | A kind of constructive method of bionical spiral reticulated shell |
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| CN201610581606.8A CN106202798B (en) | 2016-07-22 | 2016-07-22 | A kind of constructive method of bionical spiral reticulated shell |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112854456A (en) * | 2019-11-28 | 2021-05-28 | 广西大学 | Single-layer latticed shell structure with high node defect and component damage tolerance |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101614045A (en) * | 2009-07-22 | 2009-12-30 | 薛晓光 | Double-tower vestibule spiral building |
| US20100310623A1 (en) * | 2009-06-05 | 2010-12-09 | Laurencin Cato T | Synergetic functionalized spiral-in-tubular bone scaffolds |
| CN104060740A (en) * | 2014-06-11 | 2014-09-24 | 江苏科技大学 | Double-layer column surface net shell with lower chord being prestressed stay rope |
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2016
- 2016-07-22 CN CN201610581606.8A patent/CN106202798B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100310623A1 (en) * | 2009-06-05 | 2010-12-09 | Laurencin Cato T | Synergetic functionalized spiral-in-tubular bone scaffolds |
| CN101614045A (en) * | 2009-07-22 | 2009-12-30 | 薛晓光 | Double-tower vestibule spiral building |
| CN104060740A (en) * | 2014-06-11 | 2014-09-24 | 江苏科技大学 | Double-layer column surface net shell with lower chord being prestressed stay rope |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112854456A (en) * | 2019-11-28 | 2021-05-28 | 广西大学 | Single-layer latticed shell structure with high node defect and component damage tolerance |
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