Modelling of Archimedean-Spiral type of Wind Turbine, in Moment of Inspiration.

This style of Wind Turbine seems to have many advantages, and is being sold commercially. There are numerous links, but they give very sparse information on how to create the turbine. They just say that it was modeled in Solidworks.

The following Link is to a Solidworks video, which describes the modelling, and is helpful, but the commands in Moi differ:
https://www.youtube.com/watch?v=UoWLdbMDTlQ

The helper curves:
1. (Blade Radius) is 75 cm, along the z-axis.

2. (Tapered Helix & Sweep Rail 1) is simply a tapered helix of length 75 cm, with radius from 75 cm down to 0 cm, in the positive x-axis direction. If viewed in the Right view, as if it were 2D flat, it appears to be an Archimedean spiral. (This can be confirmed by using the Archimedean spiral script.) The 3D curve is the Sweep Rail #1, for surfacing the turbine blade.

3. (Sweep Profile curve) is a line, at the "opening angle" of 60 degrees, and is also the Sweep Profile for creating the turbine blade.

4. (Sweep Rail 2) is a line, along the negative x-axis, and is the second Sweep Rail, for creating the turbine blade.
*** EDIT: Sweep Rail 2 should be the entire line composed of joined Sweep Rail 2 with "Not a Sweep Rain" line.***

5. (Not a Sweep Rail) is a line, along the positive x-axis, and is *** NOT *** used as a Sweep Rail for creating the turbine blade. (If this line segment is included as part of the second sweep rail, the result does not look right.)

6. (Center Pipe) circle shows where the Pipe2 script can be used to create the center (support) pipe. The pipe diameters are 5 cm and 6 cm, and can be easily created after the turbine blade is created, along the +x and -x axis lines. (The lines should probably be combined for this step.)

7. The turbine blade surface is created with a simple sweep of the Sweep Profile curve, with Sweep Rail 1, and Sweep Rail 2. The result looks good visually.

8. After the turbine blade is swept, Offset & Shell commands, will thicken the blade, at 1 cm, to a solid. The blade may then be trimmed with the center pipe, with Boolean Dif.

9. Circular array (3), will create the other 2 blades. Boolean union may then be applied to the 3 blades, and the center pipe.

The purpose of the above description is to create the turbine blade. Design modifications can be made, and additional engineering done, to create a home made wind turbine... 3d printing can be done.

- Brian

https://imgbox.com/gqJvZ3hz

Have you in mind to make a script with it ?
Free Alpaca

This is content we all need.

Moi3D is full of suprises.
Its all math in the end, but the big need is to design it so it also pleases the eyes.
Excellent content!
Not 3D-generated AI-garbage (although that can be fun to puddle with).

Seems you have missed that Ai can replace render engines without any headaches! :)
From Model by Bemfarmer rendered in 5 seconds! (free Alpaca)
What do you want more ? https://moi3d.com/forum/index.php?webtag=MOI&msg=11553.12

I might do some sort of script.

Cleaving the rotor solid on the xz plane, and measuring the Open Angles of the 3 blades there, shows Opening Angles of 60 degrees, 47.1616 degrees (instead of 45 degrees), and 23.539 degrees (instead of 30 degrees. Probably due to the way sweep works? May try a variable pitch helix, or changing the pitch length?
The 60_45_30 version seems to have better characteristics:

https://www.mdpi.com/1996-1073/16/1/385/pdf
https://www.mdpi.com/1996-1073/16/1/385

For one blade, at zero degrees (max radius), the angle with respect to the center axis, is 60 degrees,
at 120 degrees, the angle with respect to the center axis, is to be 45 degrees,
at 240 degrees, the angle with respect to the center axis, is to be 30 degrees.
So the helix, would have to be adjusted somehow, to achieve the desired 45 and 30 degree angles...

The following paper shows better performance with angles 60_50_25 degrees:
https://www.academia.edu/download/90082150/Energy_Paper_acceptance_1.pdf
"Finally, it is found that the best blade angles of the modified
ASWT of a3 = 25 , a2 = 50 ,and a1 = 60 with a suitable thickness
of 2 mm."

The turbine could be left hand, or right handed...

- Brian

Edit: Deleted false statements. See post 13 for the difference between the Log Spiral Wind Turbine, and the Archimedean Spiral Wind Turbine, (which is better performing).

Link to excellent video which describes the ASWT turbine:
https://www.youtube.com/watch?v=i4TEMZ5dyPo

I am currently exploring the 3d version of logarithmic spirals, (conical) and will probably do a script.

- Brian

Projecting a 2d logarithmic spiral on a cone, should produce a conchospiral.
Only one turn needed?


- Brian

@ Bemfarmer Look at minute 7-51 --- >9.30 ;)

Thank you bemfarmer for this Archimedean-Spiral wind turbine.

It's very promising for clean and ecological energy production; a wind turbine that respects the environment and is much less expensive than the traditional wind turbine.
Let's wish it a happy future, if the lobbies...

And what's more, there's a little 3D model you can make with MoI, which is very nice and educational.

I didn't know that Archimedean-Spiral wind turbines could also be made of sheet metal and mounted on a wall,
or that they could be mounted on a kind of motorcycle with rather unusual tires!

Thank you Zooen.
I will soon be making a conical log version, (which is less efficient than the Archimedean version, per post 13), as time allows.

- Brian

After much confusion, I finally found a paper which clarifies the spiral used in the ASWT.

Spiral Wind Machine turban blades, (SWT or ASWT), are based upon either the golden logarithmic spiral (~ Fibonacci spiral) (log SWT), or the Archimedean spiral (ASWT).
Reference:
https://www.cell.com/heliyon/pdf/S2405-8440(23)04244-5.pdf

Quote from this reference:
"... The main findings from the presented examination proposed that the seashell-shaped wind turbine with the Archimedean spiral profile achieves better performance than the logarithmic profile..."

"7. Also, the Archimedean spiral seashell turbine of θ = 60◦ has the best operating range of all other configurations of the turbine."

The OLD conventional Archimedes wind turbine had multiple turns (AFAIK), and as per item 8 of the paper: " Additionally, the seashell-shaped wind turbine of the Archimedean spiral profile has a better performance than the conventional Archimedean turbine studied previously."
*****

the Fibonacci spiral.:
file:///C:/Users/orcha/Downloads/192-406-1-PB%20(1).pdf

As Fibonacci spiral:
https://www.researchgate.net/publication/351006076_DESIGN_FABRICATION_AND_ANALYSIS_OF_FIBONACCI_SPIRAL_HORIZONTAL_AXIS_WIND_TURBINE

- Brian

Archimedes screw flight calculator, for developed (flat) annulus ring.

The UTube video with the formulas, and two errors (dprime and Dprime):
https://www.youtube.com/watch?v=PsBhPurfiG0

The Archimedes screw can be an conveyer auger, and has an outer and inner helix.
One turn may be constructed from an annulus, (ring or washer).
The annulus for one turn, (a 'Flight") will exclude a small wedge.

Pitch is the distance between two adjacent threads of the screw.
D is the outer diameter of the screw.
d is the inner diameter of the screw, and the diameter of the shaft.
Length is the Length of the outer helical curve.
length is the length of the inner helical curve.
Dprime is the outer diameter of the annulus.
dprime is the inner diameter of the annulus.

When several flat annuli are bonded together by their radii, and stretched along the shaft, like a spring, the outer and inner diameters of each annulus shrink down, until the shaft diameter is reached.

DprimeAngle, is the number of degrees around the annulus, excluding the absent wedge, and is equal to dprimeAngle.
dprimeAngle, is the same number of degrees around the annulus, excluding the absent wedge.
360 degrees minus DprimeAngle, equals the angle of the wedge.
360 degrees minus dprimeAngle, also equals the angle of the wedge.

length = sqrt(( d * PI ) ^ 2 + Pitch ^ 2 ).
Length = sqrt(( D * PI ) ^ 2 + Pitch ^ 2 ).

dprime = ( D - d ) / ((Length/length) - one ).
Dprime = ( D - d ) + dprime.

dprimeAngle = length / (( dprime * PI )/ 360degrees).
DprimeAngle = Length / (( Dprime * PI )/ 360degrees).

To unwrap the Archimedian Spiral Wind Machine blade, use Flow with source surface the one turn Archimedian screw that matches the Spiral parameters, and
target surface the Annulus. <<< To be tested>>>

- Brian

After much study, the ASWT was re-modeled.

The blade Surface, formed in Moi, is "developable", and so can be Unrolled, (in Rhino 8), to a flat pattern with little or no distortion.
The blade Surface 3dm file was opened in Rhino 8, and the Unroll command was used to create a flat pattern.
The Flattened area was 2.3% greater than the blade surface area. Increase in "u" isocurve density in Rhino 8 made no visible difference.
No way to increase the "v" isocurve density was found.
The Rhino 9 Unroll command is very slow, perhaps 5 to 10 minutes. First it calculates the before and after Area, to give an idea of "distortion".
It was difficult for this novice Rhino 8 user to find the desired commands and settings, but some progress was finally achieved.

The blade is formed using an Archimedean spiral as a tapered Helix rail. The Helix is formed with the MoI Helix command, and tapers from maxRadius to zero.
The core cylinder region, "~shaft", is deleted from the blade.
The blade Surface is NOT an Archimedean tapered screw, nor a portion of a Toroid, due to the "open radius of theta = 60 degrees region", and how the two rails are swept.
(The rail spiral is NOT "logarithmic", nor "fibonacci".)

I may do a script or node, including updated "optimum" parameters, values and definitions.
And also check out how the actual degrees of the 3 blades, measured at a plane intersection, compare to the 60 degree, 45 degree, 30 degree (better) style.

- Brian

There are said to be 5 types of helicoids.
The pictures in the links are hard to tell apart.
Scripting their parametric equations may help to discern the differences.
There are also many links to other, older, papers.
The ASWT may be a conical version of the Oblique helicoid, or of the Developable helicoid. (???)

V. J. Paul, “A review of geometry investigations of helicoids,”
https://www.researchgate.net/publication/325860850_A_Review_of_Geometry_Investigations_of_Helicoids/fulltext/5b29e65faca27209f374d62b/A-Review-of-Geometry-Investigations-of-Helicoids.pdf

Five Types of Ruled Helical Surfaces for Helical Conveyers, Support Anchors and Screws
https://www.matec-conferences.org/articles/matecconf/abs/2017/09/matecconf_icmme2017_06002/matecconf_icmme2017_06002.html

- Brian

Found some nice links to knitting as well.