Weifan Zhang, Changxiang Yan, Zhiliang Gao, Siyu Wang, Xiao Shen, Jing Yuan, Youzhi Dong. Optimal design of natural frequency of two-degree-of-freedom fast steering mirror system[J]. Infrared and Laser Engineering, 2021, 50(6): 20200450

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- Infrared and Laser Engineering
- Vol. 50, Issue 6, 20200450 (2021)

Fig. 1. (a) Overall structure of fast steering mirror; (b) Flexible support system structure

Fig. 2. (a) Plan view of deep-cut flexure hinge; (b) Schematic diagram of deep-cut flexure hinge

Fig. 3. (a) First-order mode; (b) Second-order mode; (c) Third-order mode; (d) Fourth-order mode

Fig. 4. (a) Simplified diagram of first-order mode shape stiffness; (b) Simplified diagram of second-order mode shape stiffness; (c) Simplified diagram of third-order mode shape stiffness;(d) Simplified diagram of fourth-order mode shape stiffness

Fig. 5. Simplified model of third-order modal stiffness

Fig. 6. (a) Non-linear fitting curve diagram; (b) Non-linear fitting determination coefficient

Fig. 7. Finite element verification of the working stiffness of the deep-cut flexure hinge

Fig. 8. Third-order mode shape simulation diagram

Fig. 9. Optimization flow chart of genetic algorithm

Fig. 10. (a) Front view; (b) Right view; (c) Bottom view

Fig. 11. (a) First-order mode; (b) Second-order mode; (c) Third-order mode; (d) Fourth-order mode
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Table 1. Comparison of theoretical calculation and finite element simulation of working stiffness of deep-cut flexure hinge
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Table 2. Comparison of theoretical calculation and finite element simulation of three-boundary natural frequency of fast mirror system
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Table 3. Initial structure parameters of the fast steering mirror system
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Table 4. Optimization results of genetic algorithm
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Table 5. Comparison of system stiffness between multi-objective optimized structure and initial structure
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Table 6. Comparison of the fourth-order natural frequency between the optimized structure and the initial structure

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