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   Radial Step-Tow Multi-r

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Sept. 30, 2020, post by Dave Santos
Multi-r Form-Finding Notes

Dynamic Form- radical morphing and topological surgery evolving on a tensile skeleton of persistent form. We can design a skeleton that supports evolutionary engineering of its supported parts.

Economy of Scope- variability of form and diversity of function. No single dead-end design down-select.

Dispatchability- responsiveness to season, peak demand, emergency disruptions of grid supply, etc.

Bulk Modes v. Local Modes- bulk laminar v. local turbulent wind harvesting regimes. Local modes harvest energy that stall bulk modes. An ideal design will do both bulk and local mode harvesting.

Many Wing System Validations- grid fins, starling murmuration, feathers, leaves, cellular/multi kites, etc.; all prove multi-wing lattices do bulk modes effectively.

Echinoderm Biomimetic Form Model- better than we alone could imagine. Note metamaterial edge-mode optimization:   https://www.georgehart.com/sculpture/sand-dollars.html

[Ed adds:  https://tinyurl.com/MandalasAWEformfinding                        ]
Aug. 17, 2020, post by Dave Santros
Radial Step-Tow Multi-r

Inspired by Jellyfish Locomotion Dynamics:
Radial Step-Tow Multi-r by kPower, Aug 17, 2020
kPower on Radial Step-Tow Multi-r
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http://www.energykitesystems.net/AirborneWindEnergy/images/kPower/MultiGWConcept2020.jpg
Max Langbein notes:

Even if that fractal concept still had a low power-per-area-ratio, would you still think it would be worth working out ?
(modeling, doing simulations, first extremely simplified string mechanics only using the movement modes and extremely simplified areodynamic replacement models, then adding aerodynamics, then building a small physical down-scaled model, iterating )

I see the movement modes already being worked on by joe.

Even a >100MW installation over hambach mine would be impressive, and could be re-powered afterwards.

Of course using a grid with self-organized motion modes, and power transferred by self-stimulated mechanical waves running through the grid instead of controlled movements, it would be more generic and less control-intense, by that maybe also more robust.

Should I generally include tassos in the conversation ? Maybe a more terse introduction into the topic would be better instead.

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Dave Santos replies
Yes, We are able to point to progress in conventional wind power, where the latest turbines have bigger disc area but lower specific power. They win by having a far larger capacity factor, due a lower cut-in velocity and lower usable velocity, in "most probable wind velocity". Lower specific power is less intuitive, but has its sweet spot for lowest LCOE. And while multi-r may not at first use airspace maximal intensity, the large sparse sweep patterns of single-line kiteplanes are far worse. "Just add string" is the cheapest way to span Hambach at a minimal power scale.

Yes, 1-10-100kW 1-10-100MW will all be a stepping stones in testing and early operation, with no historical shortcuts in aerospace scaling. Each scale-up is a challenge, an almost complete start-over. It will take a big social commitment to go big by 2030 at about 100MW, and maybe1GW by 2040, unless extreme world crisis moves everything faster.

Yes please include Tassos, as he is very excited to participate, and already thinking hard about the FEA CFD validation. His Thesis is fairly relevant, and he starts from a many-connected metamaterial AWES paradigm. Tassos represents academic cross-validation for TUK's multi-r system identification. He brings the best of the hungry Greek engineering science establishment.
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Max notes:

Hello, Thassos,

Thank you for sharing your thesis, containing deep thoughts about how to distribute forces, and algorithms to fill a structure in a way that maintains stability.

Our specific problem here in Airborne wind energy, or our idea for a large airborne wind energy structure, would be a large dome-like structure,which is kept tensioned and upright by many little softkites. In the starting mode, the dome is  moved by winches in a step tow fashion (each of the six pulley doing a sinus ,each pase-shifted by 60 degrees).afterwords, the kites move the winches still in the same fashion however with different force distributions.

The dome would be  two-layered to make it possible to steer the kites angles slightly (needed to switch between power gen modes)

The challenge here is that the dome does not keep it's shape, but is layed flat initially, then slightly arched, etc., but still all strings should be kept tensioned.

One solution would be a strongly hierarchical structure, however that has the disadvantages that it has only a low density, and  is not very flat, by that preventing "layering" of the domes which would be a nice re-powering possibility of a site (just add more kite layers)

The honeycomb structure in the images inserted here is just for illustration, also the kites on the dome are only illustration.

Maybe you could come up with a structure for that.

In the kites we still discuss if simple sails kept in shape and position by the structure, or self-adjusting kites with maintain aoa to be lifted, would be better.

I

Array 001


Array 2

Tassos responds:

Dear Max,

Thank you for your email. It's a pleasure to meet you.

...

The approach to AWE you describe certainly sounds very interesting. With regards to the double-layered dome you are referring to, it reminded me of some experiments I had done during my MSc. In fact, it was a project that preceded my thesis (that you mentioned), but it was based on the same principles, i.e. particle-spring simulation algorithms. However, in that case, I investigated certain fixed topologies (or uniform connectivity patterns) of nodes arranged on a 2D grid (whereas in the thesis the topology generation was the point of focus). In the few cases of more dense connectivity patterns I had tested, the nodes would fall into a 3D 2-layered (or 3-layered) space frame structure on their own in order to achieve equilibrium. I had actually made a short video of this project at that time that may perhaps help illustrate what I am trying to describe. I just managed to find it and uploaded it in the following link:


I suppose that the overall isomorphic hexagonal shape of the structure you are investigating (shown in the images you sent) is to accommodate the 6 points of support and associated winches along with the phase difference in motion. I think that other, perhaps even more complex forms could also be feasible, although simplifications may be required to accommodate the dynamic motion (and possibly other complex) aspects, at least as a starting point.

If I understand correctly, you want the structure to maintain a certain (controlled?) degree of flexibility and allow deformations, while maintaining tension in all connections. Provisionally, I would think that this could be achievable through the configuration of the connectivity pattern (topology) and the possible combination of rigid and tensile elements, but granted the complex nature of the structure's resulting motion due to wind and mechanisms (winches), it may not be a straightforward task.

In any case, I think that particle-spring algorithms could be a suitable tool for form-finding and simulating such a structure.

Let me know what you think.

Best regards,
Tassos

Max notes:

...

On 04.09.20 09:40, Tassos Kanellos wrote:
Dear Max,

Thank you for your email. It's a pleasure to meet you.

...

The approach to AWE you describe certainly sounds very interesting. With regards to the double-layered dome you are referring to, it reminded me of some experiments I had done during my MSc. In fact, it was a project that preceded my thesis (that you mentioned), but it was based on the same principles, i.e. particle-spring simulation algorithms. However, in that case, I investigated certain fixed topologies (or uniform connectivity patterns) of nodes arranged on a 2D grid (whereas in the thesis the topology generation was the point of focus). In the few cases of more dense connectivity patterns I had tested, the nodes would fall into a 3D 2-layered (or 3-layered) space frame structure on their own in order to achieve equilibrium. I had actually made a short video of this project at that time that may perhaps help illustrate what I am trying to describe. I just managed to find it and uploaded it in the following link:

Nice user-friendly application. Impressive.


I suppose that the overall isomorphic hexagonal shape of the structure you are investigating (shown in the images you sent) is to accommodate the 6 points of support and associated winches along with the phase difference in motion. I think that other, perhaps even more complex forms could also be feasible, although simplifications may be required to accommodate the dynamic motion (and possibly other complex) aspects, at least as a starting point.

The inner structure is not fixed being hexagonal, the only constraint is that the cell centers of the upper layer being near nodes of the lower layer. (the kites being thought of residing in the cells of the upper layer and steered by the nodes of the lower)

Initially I looked at a tri-winch setup (being the simplest setup allowing movements in all directions) , however then the area that could be kept tensioned was a bit small.


If I understand correctly, you want the structure to maintain a certain (controlled?) degree of flexibility and allow deformations, while maintaining tension in all connections. Provisionally, I would think that this could be achievable through the configuration of the connectivity pattern (topology) and the possible combination of rigid and tensile elements, but granted the complex nature of the structure's resulting motion due to wind and mechanisms (winches), it may not be a straightforward task.

Maybe a simplified sim of the kite aredynamics has to be combined with the network sim and tested to find a good structure.


In any case, I think that particle-spring algorithms could be a suitable tool for form-finding and simulating such a structure.

Maybe the links/springs would have to be more elaborated, using some simple analytical model of the actually used material of the tethers, including drag.

After all, tether drag is a non-negligible property of an AWE system.

Dave Santos responds:

Tassos, 

That's a fantastic interactive spring-mass lattice sim video! It even supports travelling waves, to drive Multi-r legs for generation. This is why we were looking for you. All our higher polygons are triangular sets, and larger lattices are properly >3 multi-r. You were already even doing layers in 2007.

Not clear just how gravity was supported, but in first approximations we can mostly ignore gravity, since kite-lift negates lattice weight. We can also ignore tether-drag to start, as a minor damping factor, since our sails operate at relative low velocity (low Re). Because most-probable wind velocity is constant, dimensionless relative velocity and drag ranges lower at larger scales. Tether-drag to tether-cross-section-strength also falls in our favor at bigger scale.

Gravity setting might be used as analog wind acceleration, setting the spring-mass model sideways. If there is no field gravity, but just the moving ball, then the ball could be pushed upwards at an angle to deform the model kite lattice somewhat as wind would.

Spring-mass lattices spontaneously resonate harmonically when excited. The engineering challenge is to tune the parameters to match ideal load-motion output across all wind-velocities and load-demands. Even your old tool could sort of do this by tedious manual interface manipulations played-back at presentation frequency (faster than ponderous kite lattice would actually wave)

There is a wonderful opportunity to do quick-and-dirty visualization, as updated tools are slowly set up for rigorous simulation. A starting visualization could at least begin to match starting GW-scale calculations three magnitudes beyond most current AWES scaling limitations of single-line topology "energy drones".

Very Excited!

daveS


Note- This is our 2D primitive spring-mass cell, from 1975. A recent insight is that it embodies 1/2 of a tensegrity cell, where one spar is the Earth surface, and the other half-spar is the air pressure-field. A mirror balance of forces resides in the Earth.

Inline image
Payne Fig. 5      http://www.energykitesystems.net/AirborneWindEnergy/images/Figure5Payne1970s.JPG