0
$\begingroup$

I have a geometry that looks something like this. What will be the combined stiffness of the members?

Figure indicating the geometry

$\endgroup$
4
  • $\begingroup$ Which stiffness? Axial? Bending? The full stiffness matrix? Considering p-\delta effects or in the linear regime? $\endgroup$
    – Zegpi
    Oct 30, 2023 at 19:31
  • $\begingroup$ 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. $\endgroup$ Oct 31, 2023 at 3:30
  • $\begingroup$ 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? $\endgroup$
    – Zegpi
    Oct 31, 2023 at 16:55
  • $\begingroup$ 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. $\endgroup$ Nov 6, 2023 at 18:04

1 Answer 1

0
$\begingroup$

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.

global 2

golbal link

$\endgroup$
2
  • $\begingroup$ 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? $\endgroup$ Oct 31, 2023 at 16:26
  • $\begingroup$ I added two links to my answer. Take a look. $\endgroup$
    – kamran
    Oct 31, 2023 at 19:19

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.