Dynamic system identification by the frequency response matrix

Abstract

This work estimates the residues and poles of the dynamic system to express the terms of the frequency response matrix as the sum of simple fractions (each vibration mode contributes two terms). The starting point is the acceleration response at various points of the structure, it is integrated twice and an analysis is performed in the frequency domain. The measured vibration frequencies, damping factors, and residues are estimated by least squares fitting of the measured or experimental frequency response functions (FRFs). The damping of the structure or system can be proportional or general. The dynamic system is identified by relating the residues of the functions of the frequency response matrix (complex functions) with the residues measured from the outputs of the system excited by forces/inputs of impulse, sinusoidal, frequency sweep or other type.