I have a mass-spring system. I am trying to back-solve four springs (provided in the attached file).
There are four masses at which summation of forces are performed and A matrices are obtained. The attached file shows them in the (Lamda*I - A) format. These springs and masses are configured in four different ways and their first mode natural frequencies are known.
Therefore, in my mind, I should be able to use Given/Find in order to find the unknown springs with four equations while setting the determinants of the four matrices to zero.
The solver doesn't converge.
What is the problem here? Can this be done? If not, how else?
Your help will be greatly appreciated.
Thanks,
Eric