Fig. 1. Operation schematic for theodolite landing on foundation ring

Fig. 2. Functional diagram of supporting platform

Fig. 3. Design domain (thin lines) and non-design domain (bold lines) in the optimization model. (a) Original layout; (b) optimal layout

Fig. 4. Optimal iterative process

Fig. 5. Simulation model of the platform system

Fig. 6. Displacement cloud map of the platform affected by gravity load

Fig. 7. Displacement cloud maps of the platform affected by torque load

Fig. 8. First four order vibration mode shapes of the platform system

Fig. 9. Schematic of stability experimental device

Fig. 10. Experiment layout diagram

Fig. 11. Response waveform of No. 2 incentive on channel 9

Fig. 12. Response waveform of No. 5 incentive on channel 9

Fig. 13. Variation curves of the platform shaking