The BP method solves a system of equations which relates the damage parameters to the structural modal responses using the sensitivity matrix.
The accurate probability values needed to specify each modal response evaluated using the first order reliability method cannot be incorporated directly in a response spectrum analysis due to computational inefficiency.
Intrinsic Mode Functions IMF_v1(i) and IMF_v2(i) of the two points that are corresponding to the same modal response are used as modal identification signals and NExT is used to gain cross-correlation function between the two points of this mode.
Numerical results for complex modal identifications are presented, and the quality of the identified modal matrix and modal responses, extracted using the complex SOBI technique and implementing the proposed formulation, is assessed.
The damped-periodic parts of modal responses are combined using the double-sum equation whereas the rigid parts are combined algebraically.
In nonlinear dynamic analyses, the detailed structural model subjected to a ground-motion record produces estimates of component deformations for each degree of freedom in the model and the modal responses are combined using schemes such as the sum of squares square root.
The behavior factor to be used in modal response spectrum analyses, estimated from the MPA results, was shown to be slightly higher than unity, indicating a very low dissipative capacity of the structure.
Afterwards, the recovered time-domain modal responses were further processed using the poly-reference least square complex frequency domain (PLSCF) technique to accurately estimate modal information from the recovered source signals.
The decaying amplitude of the extracted modal responses is then used to identify the modal damping ratios using a linear fitting function on modal response data.
In modal parameter identification, the damped complex exponential response methods extract modal parameters using free decay responses.
