I have a geometry that looks something like this. What will be the combined stiffness of the members?
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$\begingroup$ Which stiffness? Axial? Bending? The full stiffness matrix? Considering p-\delta effects or in the linear regime? $\endgroup$– ZegpiCommented Oct 30, 2023 at 19:31
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$\begingroup$ This is basically a slice from cochlea, where the bending part(material 2) is basilar membrane and the material 1, is a bridge tissue. both of them bend but their individual stiffness is different. For our model we are assuming them to be isotropic. I am primarily interested in the bending stiffness. $\endgroup$– Ahsan CheemaCommented Oct 31, 2023 at 3:30
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$\begingroup$ I get that the materials are different, but what are your expected loads? Are they point loads or distributed loads? What's the loading direction? Are you expecting large deformations? $\endgroup$– ZegpiCommented Oct 31, 2023 at 16:55
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$\begingroup$ Load is distributed and given by p = p0*sin(wt) and acting along the length of the slice i.e. from the bottom in the current view. $\endgroup$– Ahsan CheemaCommented Nov 6, 2023 at 18:04
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1 Answer
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Each part stiffness is the $EI$ of that part.
However, calculating the deflection under a certain load analytically by hand could be a term project.
Edit
I searched for assembling the global stiffness matrix from member local stiffness matrices. Here is a couple of answers.
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$\begingroup$ I am using Comsol for simulations but currently I am using the series approximation for the stiffness but my results are way off than the experimentally reported results for deflection values. Currently I am using single value of stiffness for each member. Can you please elaborate how we can get a good formulation for the stiffness matrix? $\endgroup$ Commented Oct 31, 2023 at 16:26
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$\begingroup$ I added two links to my answer. Take a look. $\endgroup$– kamranCommented Oct 31, 2023 at 19:19