Stability analysis of a coupled oscillator-pendulum model with delay

摘要

This paper is devoted to the application of the theory of delay differential equations to the real-time dynamic substructuring. The latter is a relatively new technique of testing the response of the structure due to external excitation. The main idea is that the whole structure is divided into two (possibly more) parts, and one part is then placed in the laboratory and the other one is substituted by its numerical model. The parts are connected through a transfer system, which is often represented by an actuator. The experiment is run in real-time and this leads to time lags being present in the experiment. The main part of this time delay appears due to the nature of the actuator. We propose and study a mathematical model of a mass-spring-damper system, with theoretical results being validated by the numerical and experimental findings.