Dear all,
I have posted a similar question a while ago, and the general consensus was that it is not possible, at least with Mathcad, to symbolic solve a system of coupled second order different equation.
However, I have found in many papers and books writing out analytical formula of the solutions to the coupled equations. Attached is the system I am trying to solve. I have seen analytical formula even for one more mass. Although solving this sort of equation with two masses, no damping (dissipation) and with only one driving force is simple enough, even by hand, it is impossible to do the same for a system with two different damping constants and two driving forces. I have been trying for two weeks now, but could not figure out the solution.
Of course, I could get the numeric solution, but I could not get the same result as in Eq. 5. So, I was wondering if someone could help me with this. Although it would be perfect if it is somehow possible with Mathcad, but any solution to this problem would be of interest.
Any help would be gratefully appreciated! Many thanks in advance.
Newin