A Nonparametric Identification Technique for a Variety of Discrete Nonlinear Vibrating Systems

Abstract

A relatively simple nonparametric identification technique based on the use of power series expansions for the identification of nonlinearities of a variety of discrete nonlinear vibrating systems has been developed. The input data required can be either forced or free response of the accelerations, velocities, and displacements. The individual masses of the system can also be estimated while knowing their sum and using free response data. Two examples are given to demonstrate the accuracy of the technique under noisy measurements. The method is shown to be more simple and yet versatile than other presently known techniques in this area.