Suppose a 6 story linear building structure with known M,C and K matrices. How is it possible to transfer it to a nonlinear building by adding nonlinear stiffness force calculated by Bouc-Wen model to every story?
Yes, there are several non-linear identification methods. I've dealt with the problem for a 2DoF system in the paper that I attach to the answer. You can think also about using an Unscented Kalman Filter, but for a 6DoF system (assuming you consider it having shear-type behaviour) the state-space formulation is quite tedious. For UKF I suggest to refer to the work of E. Chatzi and A. Smyth.
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