Hi all,
Consider a circular plate's deformed configuration is available, and we know somehow the undeformed shape (perfectly flat with a defined radius). Is it a way to estimate average forces on the boundaries that resulted in the deformed shapes? Especially, is there a way to use off-the-shelf FEM packages like ANSYS for finding the average external forces?
A typical image of a deformed plate is attached.
Thanks
P.S. Pictures are from these two papers:
1. The pressure sensitivity of wrinkled B-doped nanocrystalline diamond membranes, S.Drijkoningen, S. D. Janssens, P. Pobedinskas, S. Koizumi, M. K. Van Bael & K. Haenen
2. Wrinkling membranes with compliant boundaries, Yuri Ebata and Alfred J. Crosby
Dear Ali Sarafraz
Hope you are well and fine. Although I did not get your question completely, just off the top of my head I would say that in a FE problem in general we can write [F]=[K][u] for static problems.
Here you can calculate the vector [u] based on the deformation of the structure. On the other hand [K] is known as it is the stiffness of the structure. Hence [F] which is nodal vector force should be easily calculated. After computing nodal force for each node. You can write the formula [Fe]=[Ke][ue] for the elements in the proximity of the boundary conditions to find forces there.
Generally speaking, this is an ill-posed problem. Some additional information about qualitative properties of loads sought may be necessary.
Mahdi Karimi, Thanks for your response. Yes, your answer seems trivial. However, I need to model it with Ansys or similar software, and I do not know how to. Since geometry is not at all perfect, coding will not be straight-forward.
Victor J. Аdlucky Thanks for your remark. I changed the question to clarify my problem.
Hi
In ABAQUS, we can define a path of nodes in the visualization module. Then we can extract the reaction forces (RFs) on such nodes. According to your problem, this needs activation of RF in field output or history output in the step module. Finally, by averaging such data, you can have the average of the desired quantity. Nevertheless, I do not know how it could be done in ANSYS, but I guess similar procedures need to be followed.
I hope it helps.
Regards
Ali
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