Probability Analysis of Precision Equipment Vibration Isolation System

The article deals with probability analysis for a vibration isolation system of sensitive equipment. Vibration isolation system is subjected to external base vibrations due to ambient oscillations (background noise). Considering Gauss distribution for ambient vibrations, we estimate the probability when the relative displacement of isolated mass will still be lower than the vibration criteria. The problem is solved in three-dimensional space, evolved by the system parameters damping and natural frequency. According to this probability distribution, the chance of exceeding vibration criteria for a vibration isolation system is evaluated and different vibration isolation systems are compared.