Random Micro-Vibration Response Analysis of a Stewart Platform in Satellites

The micro-vibration generated by various random excitation sources in satellites has a significant impact on the requirements of the advanced satellite's ultra-high pointing precision and ultra-high attitude stability. In this paper, the random micro-vibration response analysis of a Stewart platform, which is a classic vibration isolation platform in satellites, is conducted for the first time. A dynamical model of the Stewart platform under random excitations is established, and decoupled the dynamical model based on the small-Amplitude characteristics. The analytical responses of the Stewart platform under random excitations are obtained by solving the Fokker-Planck-Kolmogorov (FPK) equations, and the approximate analytical solution is verified through the Monte Carlo method with different excitations. Numerical results demonstrate that the proposed method is effective for random micro-vibration response analysis and is suitable for multiple excitation conditions, providing theoretical support for the satellite micro-vibration analysis.