Structure optimization for a space-based vibration isolation platform based on dynamic collinear stiffness

A new performance appraisal index, dynamic collinear stiffness, was introduced to deal with the optimizing design about structure parameters of a space-based vibration isolation platform. The radii of the top and bottom platforms and the central angle corresponding to the adjacent connection points were taken as the design variables, the maximization of the minimum of the dynamic collinear stiffness was taken as the objective function and the engineering design requirements with respect to the dynamic stiffness within a specified frequency range were taken as the constraints. A mathematical model was built based on the design variables, the objective function and the constraints and the optimal solution was gotten by the GA tools. The simulation shows that the optimal solution meets the engineering design requirements and the performance appraisal index is better than the conventional ones.