Proposition of an Improved Nonparametric Identification Technique for Nonlinear Multi-Degree-of-Freedom Vibratory Systems

Abstract

In previous papers, we proposed nonparametric identification techniques of nonlinear multi-degree-of freedom systems. Theoretically, these techniques can be applied to systems with any number of degrees of freedom. In practical cases, however, it has been found difficult to apply these techniques to systems with greater number of degrees of freedom, because the unknown parameters for a system become vast as the degrees of freedom become more numerous. In this paper, an improved technique is proposed which requires fewer unknown parameters, and which is furthermore more convenient for use in succeeding vibration analysis. Numerical simulation is conducted, and the applicability of the improved technique is shown. Its advantage in succeeding vibration analysis is demonstrated through using the identification results in the incremental transfer matrix method.