Operation Ark – Aviation CAD TechNotes

The Journey

December 2, 2015August 27, 2016HughLeave a comment

The Journey:

This blog has been about the journey cataloging my passion for historical aviation design and construction. Its about the geometry; the ordinates and plans, about the designs and construction; from wood and canvass to full metal and alloy and the inspirations for the designs. The sheet metal work, the manufacturing, the mechanics, materials, electrics and hydraulics.

Its been an interesting time studying the different aircraft construction techniques and design methods. The different approaches to how different designers organise and develop the designs on the drawing board, sometimes accumulating 100o’s of drawings for a single aircraft…an admin challenge that even today would be quite daunting.

Not all my work has been published here, only a few examples that I think may be of particular interest. The evolution of the FW-190 to Ta-152, the various marks of the Spitfire, the early design characteristics for the Tiger Moth, the Mustang P-51 conic research and mathematical analysis culminating in a broad spectrum of research material that lays the foundation for the next chapter in my work.

I have learned a lot from this work which has been both challenging and frustrating. Its tested the limitations of my knowledge and the CAD systems we have come to rely on so much in our designs today.

Not many of the archive drawings sets I have are representative of a complete aircraft, often missing key information or simply illegible; though the latter sometimes can be overcome by studying other aspects of the design. I am often asked if I would consider creating an entire aircraft design in CAD that could actually be manufactured and whilst the answer is of course yes I would be reluctant to spend the considerable time required for any aircraft for which we have many flying examples.

Having said that Operation Ark was setup to undertake such a task for an extinct or rare aircraft depending on availability of sufficient design data. This work is still in progress and will take a while to resource, evaluate and fund such a project.

In the interim I have received a new set of archive material for an aircraft that was used extensively by Russia on the Eastern front which will be featured here in a few months time.

For now there wont be many updates but please do drop me a line as its always good to hear from the many readers of this blog about their own experiences in the exciting world of historical aviation.

Update: Mustang P-51 Project & Operation Ark

August 20, 2015November 21, 2020HughLeave a comment

Update: Mustang P-51 Project & Operation Ark

The Mustang P-51 project is on hold whilst we review the CAD systems we will use for Operation Ark. To date we have utilized both the Autodesk Inventor & the Dassault Solidworks for our projects and research. We have another contender for the project which is Solidedge, until recently this was not a viable option but the latest version ST8 exhibits many of the features we would need.

Operation Ark will be a long term project requiring many man hours of work to research and build literally thousands of models, so it makes no sense to have different CAD products for this project. There is also a cost consideration as the project will rely entirely on goodwill and donations to support our efforts and assist with CAD software.

Collaboration technologies and access to rendering farms for final processing of the CAD data are also key considerations. We have received offers of support from a few fellow enthusiasts to help with the Cad model developments and rendering; the latter being from Bilby…thank you very much for your support. Some comments from fellow enthusiasts:

From Alan “I love your Operation Ark initiative, and would be more than willing to play a role in any capacity.”

From John; “ARK is an extremely important project and I congratulate you on your vision.”

From Beaufort: “…I am really impressed with what you do and I can see that massive amount of time that you put into it. I also love the design specifics of these aircraft…”

Operation Ark Project Status:

This project is attracting a lot of attention, with many positive responses as noted including suggestions of alternative aircraft for consideration. One of which is the Lockheed Vega , which is a unique aircraft and was; in many respects; ahead of its time.

This is actually a good example for Operation Ark as the only remaining examples are located in the USA with only one flight worthy example, though further research would suggest that number could well be 2. The location alone excludes a large number of enthusiasts from actually ever seeing one either as a static exhibit or in flight!

That is part of what Operation Ark is about, removing geographic constraints and bringing access to everyone; the complete aircraft with everything modeled right down to the nuts and bolts. An exact replica in 3D that can be interrogated online as assembled or as individual components. We are also contemplating extending this to include additive or 3d printing technologies to build a half size replica, making the parts available to interested parties.

But this is only one of the aircraft being considered and whilst a likely candidate for selection; specifically as we have access to the manufactures drawings; our preference would be for one that does not exist or has only 1 example in existence like the Ta152.

The project though is entirely dependent on the availability of the original manufacturers drawings and specifications, which is our current priority!

Even when we do have access to materials they first have to be evaluated, which incurs a cost for scanning of microfilm archives and then reviewed for completeness. This process is rather costly but ensures that we don’t commit to a particular aircraft that we can only partially build. Usually where we have incomplete datasets we will endeavor to source the missing data elsewhere before we actually exclude the aircraft from selection.

All the research and work published here to date has been done voluntarily in the hope that it will help other enthusiasts.

NAA P-51D Mustang: Fuselage: Conics

August 3, 2015November 21, 2020Hugh1 Comment

NAA P-51D Mustang: Fuselage: Conics

In the preceding article I had some fun with polynomials and how they could be useful for determining a smooth fit spline for the development of the Mustang fuselage. As a follow up to that article I wanted to share some research relating to conics.

The Mustang P-51 was the first aircraft to be completely defined by conics. The designer Edgar Schmued worked with Roy Liming to mathematically analyze the Mustangs shapes, tangents and curves. Conics were used by NAA as far back as 1932 though many of the techniques and equations we use today however were not actually in use until 1959.

The Bézier curves for example were based on the Bernstein polynomial which had been known since 1912 but its application for graphics was not understood till much later. Bézier curves were widely publicized in 1962 by the French engineer Pierre Bézier, who used them to design automobile bodies at Renault. The study of these curves was however first developed in 1959 by mathematician Paul de Casteljau using de Casteljau’s algorithm, a numerically stable method to evaluate Bézier curves at Citroën.

So I started to wonder how did Edgar Schmued and Roy Liming actually apply conic principles and what methods did they use for the Mustang design!

The documentation I have available for the Mustang Wind Tunnel models gives us a clue at the geometric construction for the fuselage frames. The designers used smooth conic sections with key parameters controlled by longitudinal shoulder and slope control curves. The longitudinal curves defined fullness and tangency values for the conics from forward to aft of the fuselage. The P-51 designers found that this technique allowed them to accurately control sectional areas to secure the required effects for lift, drag, stability, and overall performance.

Here we see a scrap view from the wind tunnel models, showing clearly the development of the conic constrained by 2 tangent lines and a third Shoulder Point as a known point on the designed curve.

The intersections of lines extended from the Max Half breadth point and the Lower Ship Centre point illustrate a drafting technique for creating the finished curve for the lower section of a fuselage frame.

Taking this method further we can describe a curve using a series of extended lines to define any point on the curve as shown in my Cad drawing.

This is my interpretation of a technique for the drafting of a typical Mustang fuselage frame. I haven’t seen this technique applied to a full fuselage profile and whilst the design information I have suggests a similar approach by the Mustang designers I can’t verify that this was the actual technique used.

It is not possible within the scope of this article to go into the detail of this technique, but suffice to say that selecting only 3 points for the lower and upper sections contained within tangential lines provides the basis for accurately determining any other ordinate point on the particular curve. I have uploaded a short video on Youtube here: Drawing a Conic

This is actually a lot better than using the polynomial equations for frame geometry as they only give you a best fit approach based on the tabled ordinates; with limitations; whilst this construction technique will allow the flexibility of defining any point on the curve to an unprecedented degree of accuracy when created in CAD…it works!

So what else did these visionary guys do? I am really keen to further research the mathematical approach that Edgar Schmued and Roy Liming used in the other aspects of the aircraft design and uncover the methods that made the Mustang unique.

It is my hope that by sharing my research and developments that this will inspire others to also research the work of the designers from this era and hopefully in some small measure encourage support for our project “Operation Ark”.

Update: I must have spent a full day browsing through the archives to find more information that would assist with understanding the conics development and thankfully I came across this NAA lines drawing for the cowl on P-51C (NA-103).

This shows the development and tangent lines for everything including the shoulder lines and the fairing lines as well as the main profile contour lines.

Its very important to spend time verifying the information used for developing these designs to validate the research. Sometimes I could spend days just looking for small scraps of information just to verify one dimension, which happened quite a lot on the Ta-152 project!

Full profiles drawn in Autocad from comprehensive excel spreadsheet ordinate collections now available for download. See this article for details.