Appendix III
Modal Analysis of Dynamic Systems [77,78]
A typical multiple DOF dynamic system (total number of DOFs is n), excited by external forces, can be described by spatial property matrices as
(AIII.1)
where [M], [C], and [K] are n×n symmetric mass, viscous damping, and stiffness matrices respectively. 
, 
, {x(t)}, and {f (t)} are n×1 vectors of time-varying acceleration, velocity, displacement responses, and external excitation forces respectively. ...
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