Vibration evaluation and identification in mechanical engineering

This paper deals with parametric identification in mechanical engineering domain. We assume a linear mathematical model of vibrating machine in discrete form and in frequency domain, defined by stiffness, viscous damping and mass matrices and by the corresponding resolvent. Parametric identification is understood as the evaluation of the measured data from dynamic experiments and its methods can be divided into "indirect" (obtaining spectral and modal properties - modal analysis methods) and "direct" (determination of the coefficient matrices of the mathematical model). We mention also the parametric identification methods for parametric and evolutive dynamic systems , the loss of asymptotic stability and dynamic systems with weak nonlinearities