/Sizing & Analysis

A nearly two year endeavor where I set out to create a new and better composite hydrofoil. Read the full story here, and become a launch customer today!

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/Sizing & Analysis

Postby BayAreaKite » Sun Jan 28, 2018 12:23 pm

Throughout most of my career, I’ve been fortunate to have really smart aerodynamic & CFD engineers tell me how stiff and strong I need to make my wing, or reliability engineers how high an iPad must be able to fall without breaking. Designing a foil from scratch, with admittedly very limited experience as a rider (I’m still learning to gybe!), and determining critical loads and structural requirements was a daunting task. Foils are stiffness-critical structures, meaning that sizing to strength (i.e. making a foil that doesn’t break while in use) can yield a design that is inadequately stiff. It’s a little more complicated than that, as I’ve seen some aluminum masts with adequate stiffness fail in bending. But for composites, the solid laminate masts on the market today are far stronger than they need to be, but that’s just a symptom of being designed to meet stiffness requirements.
Estimated Loads for Structural Sizing
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Animated Contour Plot of Bending
Cedrus_Bending.gif (467.19 KiB) Viewed 1108 times

Animated Contour Plot Under Applied Torsion
Cedrus_Torsion.gif (428.35 KiB) Viewed 1108 times

Project Cedrus was designed and analyzed almost entirely using finite element analysis, or FEA. FEA is a computer-based tool that allows engineers to apply loads to structural components and evaluate their behavior before anything is built. It is especially useful for composite materials, who’s properties vary due to anisotropy, and because prototyping various layups is time consuming and expensive. The software to run these simulations is also expensive, but easily justified by their time and cost savings. Fortunately, I had a number of clients and projects over which to amortize these software costs, as it would be hard to swallow for just a single product, let alone a low-volume hydrofoil. Which is really unfortunate, because these tools are so valuable and could help kite companies improve their products. I offered consulting services to a number of kite brands, at half the rate I charge Bay Area tech companies, but I guess it was still too expensive. I find it hard to believe that the flights to exotic locations for marketing shoots are cheaper…
Industry Benchmark
Industry.png (336.34 KiB) Viewed 1108 times

Section Properties
Section_Props.png (164.25 KiB) Viewed 1108 times

Before you can improve upon existing products and designs, you have to understand why things are the way they are. Fortunately through BAK, I had access to various masts and was able to essentially reverse engineer them and characterize their strength and stiffness. Using FEA, I was able to determine estimated torsional and bending strength and stiffness. Despite being 30% lighter, Project Cedrus is about 50% stiffer in bending than the industry benchmark, with similar torsional stiffness. In terms of strength, again based on analysis, Project Cedrus is an order of magnitude stronger in bending than some of the aluminum masts on the market. Some of the strength comes from the material, but a lot of it comes from the thicker section (admittedly sacrificing drag). I have a seen a number of bending failures (yielding) in kite and surf foils currently on the market. Reality is, I don’t know how stiff and strong a mast really needs to be. My lightweight prototype was a bit soft for some riders, but feedback on the medium and heavy gauge masts was all positive. I plan to bump torsional stiffness (to PVT levels) not because I think it needs it, but to be more inline with industry benchmarks out of caution. There are no vertical control surfaces on a foil (such as a vertical tail on an airplane) so in my opinion torsional stiffness is far less critical than bending. In the end, I am confident to have settled on an optimal layup and cross section between strength, stiffness, and drag.
Cedrus Weights vs. Industry Benchmark
Weight.png (581.23 KiB) Viewed 1108 times

Estimated Bending Stiffness
Bending_Stiffness.png (191.79 KiB) Viewed 1108 times

Estimated Bending Strength
Bending_Strength.png (208.35 KiB) Viewed 1108 times

Estimated Torsional Stiffness
Torsional_Stiffness.png (212.34 KiB) Viewed 1108 times
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