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Simple bionic Matthek spline for simple bionic optimization of edges #24

Closed stefano2734 closed 3 years ago

stefano2734 commented 3 years ago

Enhancement: Simple bionic Matthek spline for simple bionic optimization of edges

Prof. Matthek introduced this Method in last century.

with this resulting curve a good bionic design is possible by edges. But mathematics should be done also in CAE for simple possible full use in engineering and arts by Freecad or others.

See this pdf for more information about Matthek‘s triangle method and more. http://bibliothek.fzk.de/mattheck/mattheck_postersammlung.pdf

and in Detail

https://publikationen.bibliothek.kit.edu/220061912

Look in the pdf poster and you see the triangle method with 3 Triangles to construct spline points. With this points a good edge curve is the result without FEM for beams, shells and solids or CFD for fluids.

there is a pdf Poster in german with stress Relation of matthek spline by triangles to circle arc . https://publikationen.bibliothek.kit.edu/220076489

so an 80%-Optimization of edges with this bionic spline is here simple possible.

Humans are part of nature and our brains know: bionic curves are beautiful.