relationship between natural frequency obtained from continuous and discrete models
relationship between natural frequency obtained from continuous and discrete models
(OP)
Hi,
I know how to extract the natural frequencies from continuous and discrete model by using eigen-value equations.
This is the continuous model Mx..+Cx.+Kx=F (x. is differentiation of x). The eigenvalue equation for this is (K-1/ω2 M)u=0, 1/ω2 represents frequency.
If we convert that continuous model in to discrete ie., x.=Ax+Bu, Y=Cx+Du. The eigenvalue equation is (A-(abs(λ))I)x=0. here abs(λ) represents natural frequency.
I want to know the relationship(formula) between the natural frequency obtained from continuous model and discrete model.
I know how to extract the natural frequencies from continuous and discrete model by using eigen-value equations.
This is the continuous model Mx..+Cx.+Kx=F (x. is differentiation of x). The eigenvalue equation for this is (K-1/ω2 M)u=0, 1/ω2 represents frequency.
If we convert that continuous model in to discrete ie., x.=Ax+Bu, Y=Cx+Du. The eigenvalue equation is (A-(abs(λ))I)x=0. here abs(λ) represents natural frequency.
I want to know the relationship(formula) between the natural frequency obtained from continuous model and discrete model.






RE: relationship between natural frequency obtained from continuous and discrete models
RE: relationship between natural frequency obtained from continuous and discrete models
RE: relationship between natural frequency obtained from continuous and discrete models
I have found nothing in Bathe, Clough and Penzien and some other ... maybe clarifying the context of your question can help a colleague to provide a better answer.