Study on the Dynamic Performance of X-shaped Vibration Isolator with Friction Damping Based on Incremental Harmonic Balance Method

In order to improve the vibration isolating performance of the existing X-shaped vibration isolator, a novel X-shaped vibration isolator is constructed by adding plate-type friction damping element which does not decrease the overall stiffness of the isolating system. First of all, the geometrical relationships of the X-shaped isolator with friction damping are presented, then the mathematical model of the isolating system is established. Furthermore, to validate effectiveness of the proposed dynamic model, the incremental harmonic balance method is utilized to derive steady-state solutions of the isolating system under base excitation, and the accuracy of the theoretical solutions is verified through numerical simulation method. At last, the vibration suppression performance of the isolating systems with and without the plate-type friction damping element are evaluated in terms of displacement transmissibility. The calculation results reveal that the developed X-shaped vibration isolator with plate-type friction damping has a better vibration reduction performance near the resonance frequency.