Dynamic Analysis of a Six-Degree-of-Freedom Passive Vibration Isolation System

Passive vibration isolation systems are widely employed in high-precision instruments to ensure the stability of their operational environment. First, a theoretical model of the six-degree-of-freedom passive vibration isolation system is established based on the principles of rigid body dynamics. The modal decoupling of the free vibrations in the six-degree-offreedom system is analyzed, and MATLAB simulations are conducted to obtain the six mode shapes and the time-domain response of the displacement for each of the six degrees of freedom. Secondly, the dynamic characteristics of the passive vibration isolation system are analyzed under various key parameters, providing a theoretical basis for the design and optimization of active vibration control.