Parametric variation of a coupled pendulum-oscillator system using real-time dynamic substructuring

In this paper, we present results from real-time dynamic substructuring tests used to model the dynamics of a coupled pendulum–oscillator system. The substructuring technique is particularly suitable for systems where the nonlinear and linear parts of the system can be separated. The nonlinear part is built full size and tested physically (the substructure) while the linear part is simulated numerically. Then, in order to replicate the dynamics of the complete system the substructure and the numerical model must be coupled in real time. In this study, we demonstrate how real-time dynamic substructure testing can be used to model systems with strongly nonlinear behaviour using parametric variation. We show that the substructuring results give good qualitative and quantitative agreement with purely numerical simulations of the complete system for a range of parameters values. This includes single parameter bifurcation diagrams, some of which cannot be obtained from a full physical experiment. We also briefly discuss the effects of delay and noise on the stability of the substructured system, and how these effects can be mitigated. Copyright © 2006 John Wiley & Sons, Ltd

Vibration control using nonlinear damped coupling

In this paper, a dynamical system, which consists of two linear mechanical oscillators, coupled with a nonlinear damping device is considered. First, the dynamic equations are derived, then, an analytical method such as harmonic balance method, is applied to obtain the response to a harmonic base excitation. The response of the system depends on the excitation characteristics. A parametric study is carried out based on different base excitation amplitudes, frequencies, and different nonlinear damping values and the response of the system is fully described. For validation, time domain simulations are carried out to obtain the nonlinear response of the coupled system