基于压电致动器的快速反射镜系统设计与实现

Design and implementation of a fast steering mirror system based on piezoelectric actuators

  • 摘要: 文中设计并实现了一种基于压电致动器的快速反射镜(Fast Steering Mirror, FSM)系统。该系统采用菱形放大式压电致动器(Amplified Piezoelectric Actuator, APA),并针对大口径反射镜(65 mm)应用需求进行了结构优化设计,通过拓扑优化设计与多物理场耦合建模,结合有限元仿真与实验验证,对FSM的动静态性能进行了协同优化。为精确表征系统动态特性,建立了考虑柔性铰链非线性效应的高保真动力学模型,并推导了系统从驱动电压到角位移的精确传递函数。研究结果表明:该菱形APA在0~120 V驱动范围内表现出良好的线性位移放大特性,放大系数为5.71±0.08,非线性误差小于0.3%;FSM系统的机械偏转范围分别达到X轴±3.75 mrad与Y轴±3.68 mrad,X轴与Y轴角分辨率分别达到2.9 μrad和1.0 μrad;模态分析结果显示,系统一阶与二阶模态频率分别达到558.34 Hz和558.96 Hz,实现了系统刚度相较于同类产品约35%的提升;闭环控制测试结果表明,X/Y轴线性度误差低至0.71%和0.52%,−3 dB带宽达到28 Hz,验证了系统优异的动态响应性能。该设计在保证大偏转角的同时显著提升了系统刚度和动态响应特性,为高性能压电驱动FSM的工程应用提供了一种兼顾大行程与高带宽的新技术路径。

     

    Abstract:
    Objective Fast Steering Mirrors (FSMs) are critical components in high-dynamic military optoelectronic systems for precise beam pointing, tracking, and stabilization. Traditional Voice Coil Motor (VCM) driven FSMs offer large travel ranges but are inherently limited by low bandwidth due to high inertia. Conversely, Piezoelectric (PZT) driven FSMs provide high bandwidth and precision but are typically constrained by small angular strokes. Furthermore, scaling PZT-FSMs to large apertures (e.g., >50 mm) presents significant challenges, as the increased mirror mass significantly degrades system stiffness and dynamic response. Existing designs often struggle to simultaneously achieve large clear apertures, wide angular scanning ranges, and high structural stiffness. This study addresses these trade-offs by designing and implementing a high-performance FSM system based on a rhombic Amplified Piezoelectric Actuator (APA), tailored for a large-aperture (65 mm) application to ensure both large travel and robust dynamic performance.
    Methods We propose a novel FSM configuration driven by a rhombic displacement amplification mechanism (Fig.4) to address the stroke limitations of PZT actuators. To accommodate a large-aperture 65 mm Silicon Carbide (SiC) mirror, the structural parameters of the APA (Fig.6) were systematically optimized (L_1=9.3 \mathrm~mm,\; \theta=7.6^\circ ), increasing the theoretical displacement amplification factor from 3.75 to 5.71 to compensate for the increased load inertia. Unlike traditional adhesive bonding, a bolt-connection method was adopted to secure the large mirror, thereby enhancing structural reliability and minimizing assembly stress. A multi-physics coupled modeling approach combined with topology optimization was employed to synergistically optimize the static and dynamic performance. To accurately predict system behavior, a high-fidelity dynamic model (Fig.14) accounting for the nonlinear effects of flexure hinges was established, and an explicit transfer function from driving voltage to angular displacement was derived. The design was validated through Finite Element Analysis (FEA) and comprehensive experimental testing on a prototype.
    Results and Discussions  Experimental characterization of the rhombic APA demonstrated excellent linear displacement amplification within the 0-120 V driving range, achieving an amplification factor of 5.71±0.08 with a nonlinear error of less than 0.3% (Fig.8). The assembled FSM system achieved a mechanical deflection range (angular stroke) of ±3.75 mrad in the X-axis and ±3.68 mrad in the Y-axis, significantly exceeding standard PZT-FSM capabilities (Fig.19). High-precision angular resolutions of 2.9 μrad (X-axis) and 1.0 μrad (Y-axis) were realized (Fig.20-Fig.21). Modal analysis and testing revealed that the first-order (pitch) and second-order (yaw) resonant frequencies reached 558.34 Hz and 558.96 Hz, respectively (Fig.15), representing an approximate 35% improvement in system stiffness compared to similar products. In closed-loop control tests, the system exhibited high linearity, with errors as low as 0.71% for the X-axis and 0.52% for the Y-axis (Fig.22-Fig.23). The measured –3 dB closed-loop bandwidth was 28 Hz, confirming stable dynamic response capabilities under large-load conditions (Fig.24-Fig.25).
    Conclusions This study successfully developed a large-aperture, piezo-driven FSM system that effectively mitigates the conflict between large angular stroke and high structural stiffness. By integrating an optimized rhombic APA with a rigid supporting structure, the system achieves microradian-level precision and milliradian-level travel for a 65 mm aperture mirror. The significant improvements in stiffness and linearity, combined with the robust bolt-connected design, validate the efficacy of the proposed technical path. This design provides a viable engineering solution for next-generation high-performance optoelectronic systems requiring both wide-range scanning and high-bandwidth stabilization.

     

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