Characterization of Nonlinear Vibrating Systems Using Internal Feedback and Frequency Response Modulation

Abstract

The authors have developed a general frequency response function formulation in a previous article that relates the frequency responses of linear and nonlinear systems. This formulation is based on a spatial perspective of the nonlinearity as an internal feedback force. The present article gives a general interpretation of both the feedback perspective and the previously derived modulation frequency response relationships. A new method of characterizing nonlinear structural dynamic systems that is based on the frequency response relationships is then introduced.