Linear Dynamic Response Analysis

[epsi1on]

Hi, I was trying to implement linear dynamic analysis, where a stiffness, mass and damp matrix is available all with size of nxn where n is total number of DoFs. as a result we need the displacement vector (size 1xn) at any given time t with incremental solve procedure with methods like newton-raphson for single dof system

Do you guys know any method (preferably simple) that can be used for such idea? I think the modal analysis is not good, because it is not extendable to system with damp matrix.

image from here: link

[epsi1on]

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