Dear researchers,
I'm using state space toolbox in Simulink to solve multi degrees of freedom equation of motion [multi story building under seismic excitation], and I'm introducing a MR damper force, I want to use multiple dampers this means multiple forces, but the state space toolbox admits only one values of the force as input !
Since the force given by the damper is specific to each floor, I can't apply the same force on all the floors [using a distribution vector], this means each floor needs to receive his specific force generated by his specific damper.
How can I do that? How can I input multiples forces in a state space resolution ?
Best regards
Are you sure you are using a MDOF set of equations?
Maybe you just need to use a vector of damper forces instead of a scalar.
Dear alessandro;
you can check my paper attached to this comment, in this paper I'm using only one damper I want to use multiple dampers, the systeme equation and state space representation I'm using is avaible in the paper
regards
Your f vector might be packed with [f1 f2 f3], taking into account the proper dependence from the variables in MR model and location/attachment of the dampers, so think about your location vector.
dear Alessandro;
when I did that is simulink using a mux or inputing directly 3 forces in the state space bloc it didn't work ! the simulation did not run
do you have any idea how the fixe that ?
Can your location matrix P=[1 0 0]t in tab.2 be [1 1 1]t? Or just use Lamda in the B matrix definition, because after B multiplies u vector (6x1), where in the upper part you should have [f1 f2 f3]. Otherwise you cancel them out, I suppose.
My regards
Dear Alessandro, I change the location matrix to [1 1 1]t , but the problem is that the state space toolbox in SIMULINK don't accepte a [4x1] u vector, means if I put u = [f1 f2 f3 Xg] it dont work ! it shoud be [f Xg] only !
My regards
Dear Alessandro
I've found the solution the distribution vector will be a matrix in case of multiple input P=
[1 0 0
0 1 0
0 0 1]
this is the right way to do that.
Good that you found the solution in P activating all the forces on all dofs!
Indeed the P matrix, with the pre-multiplying inverse mass matrix, is the part that goes to interact with the f [3x1] vector in the state space u [6x1].
Be careful in assessing where the dampers are connected.
My best regards,
Alessandro
Dear Alessandro
u vector is [4x1] means [f1 f2 f3 X"g]
X"g is the seismic acceleration
regards
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