- #1
iqjump123
- 61
- 0
Homework Statement
I have a frequency equation to solve for the displacement for a spring mass damper truss system, as seen below,
[m]u''+[c]u'+[k]u=f(t),
where m,c,k, are all matrices (2x2), and f(t) is a graph-defined forcing function. I am to use 3 nodes, using the central difference approximation method.
I am to solve for the displacement and the time history of the displacement.
Homework Equations
What I have learned so far involved solving matrix equations using [A]{x}={b}
The Attempt at a Solution
I am just confused as to the basic concepts- I should have to be able to decouple this equation, because this is essentially trying to solve a space and time dependent problem.
I am not sure how I can solve for this, and also doing that using the CDM- I would presume that I would somehow solve for the displacement at each time "point", but do i have to use the CDM to solve for the displacements as well? If that is the case, how can I solve the equation that involves matrices and not values?
any help to get me started will be of immense help.
thanks!