A LINEAR ALGORITHM TO IDENTIFY THE NON-LINEAR STRUCTURAL SYSTEM EQUATIONS

To identify dynamic parameters of structural systems, we have to solve non-linear optimization problems because the system transfer equation of structural system is usually a non-linear function of the system parameters. The purpose of this paper is to develop a method to linearize an observation equation with respect to the structural parameters, which is derived form the system transfer equation and apply it to identify the dynamic parameters of linear and non-linear dynamic structural systems. The numerical examples give satisfactory results to identify dynamic parameters of model structures with 8 degrees of freedoms.