Optimal design of an acceleration isotropy-based active vibration isolation Stewart platform for spaceborne optical instrument

To ensure high accuracy spaceborne optical instruments with natural precision, a Stewart platform was adopted as a multi-dimensional active vibration isolation system. Considering mass geometry characteristics of payload, the analytical formulation of acceleration isotropy was derived based on the definition of acceleration isotropy. The relations among the acceleration isotropy, the mechanism architecture and the characteristics of the payload were found. The mathe-matical expression of the compliant center was also deduced analytically. An invariable measure of an isotropy Stewart platform was given. The optimal design using motion orthogonality and acceleration isotropy was proposed to reduce nonlinear and coupling effects, and a routine was established to generate a class of active vibration isolation Stewart platforms with acceleration isotropy.