Finite element model of a viscoelastically supported plate
Finite element model of a viscoelastically supported plate
(OP)
Hi,
I currently have the FE model of a plate, that is, the matrices [K] and [M] are already built.
Now I would like to add the effect of viscoelastic supports, located at the plate's edges, to the stiffness matrix [K]. Those supports have a complex stiffness
in the form K(1 + in).
Is there a straightforward method of accomplishing this?
Thank you very much.
I currently have the FE model of a plate, that is, the matrices [K] and [M] are already built.
Now I would like to add the effect of viscoelastic supports, located at the plate's edges, to the stiffness matrix [K]. Those supports have a complex stiffness
in the form K(1 + in).
Is there a straightforward method of accomplishing this?
Thank you very much.





RE: Finite element model of a viscoelastically supported plate
RE: Finite element model of a viscoelastically supported plate
I'm using MatLab to do the programming.
Thanks!
RE: Finite element model of a viscoelastically supported plate
With your time dependence, you would assume you are loading this structure with a time dependent force--even if you want the force to be P, say, you artifically create a ramp up in force from time=0 to t=tmax, and how fast you get there (that is, how many or few time increments) has to be tinkered with, since you can make this problem numerically unstable if your time increment is too large.
Because of the time dependence of the VE support, this is an intrinsically nonlinear problem, requiring some sort of interative numerical method like the Newton method.