Hello,
I am using shape optimization to find the best shape for a structure. My structure is a simple 2d plate. It is fixed at both ends and there is a uniform load on top. I select the bottom nodes to be my design space.
My problem is that with this loading, I should expect the results to show simple arch that one would see in a typical bridge. However, the results I get start like an arch, but then the material bulges out in the middle again.
If one draws a moment diagram for a fixed-fixed beam (essentially what my problem is), they would see that optistruct is putting material where where there is a high moment (either positive or negative).
However, this does not give the optimium solution, which should be an arch.
I am minimizing mass while constraining deflection on my top surface.
Also, if anyone tells me how to attach an image, I can include an image to show you my 'bulge' in the center of my arch.
Does anyone know why I wont get arch for this problem? Also, if someone can point me to a verification or closed-form solution to this, it would be greatly appreciated.
Thanks,
Ed Mueller