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Hello Fady,
How would you get the total stiffness of the system experimentally? You could put the system in a press and get the stiffness in compression. Or you could put the system in a a tension test machine and get the total stiffness in tension. You can model this test with LS-DYNA and extract the force required to compress or extend the system along with the displacement. You can get the force from the *BOUNDARY_PRESCRIBED_MOTION (bndout) or the contact (rcforc) and the displacement at a node on the press (or extension machine). Then, you can plot the Force vs displacement curve and calculate the stiffness.
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Let me know how it goes.
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Reno.Â