Spacecraft Recovery & Remote Sensing, Volume. 46, Issue 3, 84(2025)
Decentralized and Centralized Control for Multichannel Active Vibration Isolation
Figures & Tables(10)
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Table 1. Undampted natural frequency and damping ratio of vibration isolation in the linear-degree of freedom direction
View tableView in ArticleTable 1. Undampted natural frequency and damping ratio of vibration isolation in the linear-degree of freedom direction
振动方向 隔振特性 被动隔振 集中式 分布式 x向 无阻尼固有频率 $ 2\sqrt{k/m} $ $ 2\sqrt{(k+0.5{g}_{51})/m} $ $ 2\sqrt{(k+0.5{r}_{{\mathrm{H}},x})/m} $ 阻尼比 $ \dfrac{c}{\sqrt{k/m}} $ $ \dfrac{(2c+{g}_{57})}{\sqrt{(4k+2{g}_{51})m}} $ $ \dfrac{(2c+{q}_{{\mathrm{H}},x})}{\sqrt{(4k+2{r}_{{\mathrm{H}},x})m}} $ y向 无阻尼固有频率 $ 2\sqrt{k/m} $ $ 2\sqrt{(k+0.5{g}_{62})/m} $ $ 2\sqrt{(k+0.5{r}_{{\mathrm{H}},y})/m} $ 阻尼比 $ \dfrac{c}{\sqrt{k/m}} $ $ \dfrac{(2c+{g}_{68})}{\sqrt{(4k+2{g}_{62})m}} $ $ \dfrac{(2c+{q}_{{\mathrm{H}},y})}{\sqrt{(4k+2{r}_{{\mathrm{H}},y})m}} $ z向 无阻尼固有频率 $ 2\sqrt{k/m} $ $ \sqrt{(4k+2{g}_{13}+2{g}_{23})/m} $ $ 2\sqrt{(k+{r}_{\mathrm{V}})/m} $ 阻尼比 $ \dfrac{c}{\sqrt{k/m}} $ $ \dfrac{(2c+{g}_{19}+{g}_{29})}{\sqrt{(4k+2{g}_{13}+2{g}_{23})m}} $ $ \dfrac{c+{q}_{\mathrm{V}}}{\sqrt{(k+{r}_{\mathrm{V}})m}} $
Table 2. Equivalent stiffness and damping of vibration isolation in different angular-degree of freedom directions
View tableView in ArticleTable 2. Equivalent stiffness and damping of vibration isolation in different angular-degree of freedom directions
振动方向 隔振特性 被动隔振 集中式 分布式 φ向 等效刚度 4kL2 4kL2+2L×( $ {g}_{14}{+g}_{24} $ 4L2×(k+ $ {r}_{\mathrm{V}} $ 等效阻尼 4cL2 4cL2 4L2×(c+ $q_{\mathrm{V}} $ θ向 等效刚度 4kW2 4kW2+2W×( $ {g}_{35}{-g}_{15} $ 4W2×(k+ $ {r}_{\mathrm{V}} $ 等效阻尼 4cW2 4cW2 4W2×(c+ $q_{\mathrm{V}} $ ψ向 等效刚度 4k(L2+W2) 4k(L2+W2)+2W× $ {g}_{66} $ $ {g}_{56} $ 4k(L2+W2)+2L2× $ {r}_{{\mathrm{H}},x} $ $ {r}_{{\mathrm{H}},y} $ 等效阻尼 4c(L2+W2) 4c(L2+W2) 4c(L2+W2)+2L2× $q_{{\mathrm{H}},x} $ $q_{{\mathrm{H}},y} $
Table 3. Design parameters of active and passive vibration isolation system
View tableView in ArticleTable 3. Design parameters of active and passive vibration isolation system
设计参数 m Ix Iy Iz 数值 1507.2 kg322.8 kg·m2 182.1 kg·m2 502.4 kg·m2 设计参数 L W k c 数值 600 mm 500 mm 71 N/mm 0.754 N·s/mm 设计参数 基座线振动速率功率谱密度 基座角振动速率功率谱密度 数值 10 (μm·s−1)2/Hz 10 (μrad·s−1)2/Hz
Table 4. Parameters of decentralized control mode
View tableView in ArticleTable 4. Parameters of decentralized control mode
序号 $ {r}_{\mathrm{V}} $ $q_{\mathrm{V}} $ $ {r}_{{\mathrm{H}},x} $ $q_{{\mathrm{H}},x} $ $ {r}_{{\mathrm{H}},y} $ $q_{{\mathrm{H}},y} $ ① 0 0 0 0 0 0 ② −35.5 0 −71.0 0 −71.0 0 ③ −63.9 0 −127.8 0 −127.8 0 ④ −63.9 1.5 −127.8 1.5 −127.8 1.5
Table 5. Parameters of centralized control mode
View tableView in ArticleTable 5. Parameters of centralized control mode
序号 $ {g}_{13}+{g}_{23} $ $ {g}_{19}+{g}_{29} $ $ {g}_{51} $ $ {g}_{57} $ $ {g}_{62} $ $ {g}_{68} $ $ {g}_{14}{+g}_{24} $ $ {g}_{35}{-g}_{15} $ $ {g}_{66} $ $ {g}_{56} $ ⑤ −63.9 0 −127.8 0 −127.8 0 0 0 0 0 ⑥ −63.9 0 −127.8 0 −127.8 0 −42.6 −71 −65 61 ⑦ −63.9 1.5 −127.8 1.5 −127.8 1.5 −42.6 −71 −65 61
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Xin MO, Liu YANG, Gang HUANG, Huadong LIAN, Zhe LIN. Decentralized and Centralized Control for Multichannel Active Vibration Isolation[J]. Spacecraft Recovery & Remote Sensing, 2025, 46(3): 84
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Received: Mar. 7, 2024
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Published Online: Jul. 1, 2025
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