Estimation of the Mass, Stiffness and Damping Matrices From Complex Frequency Response and Real Frequency Response Matrices

Resumo

A frequency-domain method for estimating the mass, stiffness and damping matrices of the mass-
spring-damper system is presented. The developed method is based on the extraction of real and imaginary parts

of the Complex Frequency Response Matrix (Complex Transfer Matrix) and the Undamped Frequency Response
Matrix (Normal Matrix or Real Frequency Response Matrix). A relationship among these matrices is used to
obtain the Damping Matrix explicitly. The Mass and the Stiffness Matrices are calculated from the Undamped
Frequency Response Matrix using the Least Squares Method. Three examples were employed in order to illustrate
the applicability of the proposed method and the results were quite accurate.