In this paper, structure analysis with finite element method is carried out for a 4-m class honeycomb primary mirror. The mirror's baseline support system consists of 60 axial support actuators mounted at the mirror's back surface and 42 lateral actuators. The analysis includes static structural analysis under gravity load, support system sensitivity evaluation and simulation about correction ability of force actuators. The optimized deformation of the primary mirror meets the error budget. Though we find the honeycomb primary mirror is not so sensitive to variation of support forces, the mirror figure still can be compensated by adjusting the support forces.
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