Abstract

The present work considers the state dependent stiffness switching control as a semi-active means of enhancing the damping in a single degree-of-freedom mechanical oscillator. The proposed strategy changes the stiffness of the system to high and low value around the nominal value using a relay type control logic based on position and velocity feedback. The proposed control logic can introduce more damping as compared to the strategies explored so far by previous researchers. The method of multiple time scale is employed for analytically studying the resonant characteristics of the system. The effect of unavoidable time-delay in the feedback system is also studied. It is observed that system performance may deteriorate or may even lead to instability under the influence of feedback time-delay. However, the system performance can be restored and stabilized by introducing intentional time-delay near a predetermined value. Numerical Simulations are carried out to validate the results obtained analytically.

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