design mathematics for 3d hull design

[jehardiman]

I am wondering why there is no mathematical info available about hull design.

Actually there is a lot of mathematical info available about hull design. However, most of it is just curve fitting of standard series or far field "peanut butter" solutions. There is no "mathematically perfect" hull, so therefore software cannot find an optimum; the best you can hope for is a local maximum based upon your algorithm's errors. As George Box said, "Remember that all models are wrong; the practical question is how wrong do they have to be to not be useful." (Empirical Model-Building and Response Surfaces , 1987)

 

[Alexanov]

Development of similar tool was my Diploma work 35 years ago. In before NURBS era. It is quite easy now scale or somehow transform existing NURBS model and get well faired and satisfied you requirements hull. Most interesting is not get quick hull lines estimation, but lines, satisfied all design parameters. I am just afraid it will be not enough to have parameters for that.

 

[Alexanov]

Why do you want to do that? Is it your curiosity how the 3d programs render? I was working for years in the automotive sector in 3d CAD design and worked with several 3d programs and you have to understand how you to use the program, but it is not necessary to know how the program renders the design. Or do you want to dive in in the more mathematical/theoretical aspects? It's surely interesting but will not give you more power in the real designing process.

Actually mathematical definition of ship hull shapes has long history began from Chapmen parabola.

 

[Alexanov]

This is something similar.