Combined resonance and vibration reduction of non linear dynamical system subject to tuned excitation

Abstract

The non-linear dynamical system subject to tuned excitation is consider, and studied . The system is represented by two degree of freedom differential equations of the system and absorber. The method of multiple scale is applied to solve the system up to 3^rd order approximation. Effect of different parameters is studied numerically all resonance cases are studied numerically to obtain the worst case . Stability of the system is investigated using both phase plane and frequency response curves.