Parameter Identification of Weakly Nonlinear Vibration System in Frequency Domain

Identification of Nonlinear Modal Interactions in a Beam-Mass-Spring-Damper System based on Mono-Frequency Vibration Response

In this paper, nonlinear modal interactions caused by one-to-three internal resonance in a beam-mass-spring-damper system are investigated based on nonlinear system identification. For this purpose, the equations governing the transverse vibrations of the beam and mass are analyzed via the multiple scale method and the vibration response of the system under primary resonance is extracted. Then,...

Frequency Domain System Identification

Analysis of Identification Accuracy of Nonlinear System Based on Volterra Model in Frequency Domain

Abstract The accuracy of the interpolation method for identification of nonlinear dynamical systems based on the Volterra model in the frequency domain is studied. To highlight the n–th partial component in the response of the system to the test signal the n–th partial derivative of the response using the test signal amplitude is found and its value is taken at zero. The polyharmonic signals ar...

Frequency domain versus time domain methods in system identification

For some reason I now forget, Keith Glover and I were asked to prepare a discussion paper on frequency and time domain methods in system identi cation by the organizers of the IFAC symposium on System Identi cation in Darmstadt 1979. I visited Keith in Cambridge in April 1979 to prepare our paper. It later evolved into an Automatica arcticle. Since then, there has been a useful development of s...

A Fast Frequency Domain Global Modal Parameter Identification Algorithm

In this paper, a fast frequency domain global modal parameter identification algorithm is proposed. The modal parameters are identified with amplitude square of FRF instead of its traditional real part & imaginary part. By discrete transformation, all additional pseudo roots are reciprocal of the real roots and their conjugates. The physical roots can be separated from mathematical roots with s...