Performance optimization and lightweight design of floating raft vibration isolation system based on RBF-PSO algorithm

结构变量	初始值
筏架长度L/mm	1 200
筏架宽度W/mm	600
筏架高度H/mm	100
上面板厚度d₁/mm	10
下面板厚度d₂/mm	10
横向中间腹板厚度d₃/mm	10
横向两侧腹板厚度d₄/mm	10
前后中间腹板厚度d₅/mm	10
前后两侧腹板厚度d₆/mm	10
上层隔振器垫片厚度d₇/mm	15
下层隔振器垫片厚度d₈/mm	15
横向外侧腹板开孔高度s₁/mm	60
横向内侧腹板开孔高度s₂/mm	60
纵向外部腹板开孔高度s₃/mm	60
纵向内部腹板开孔高度s₄/mm	60
上下外部面板开孔宽度s₅/mm	270
上下内部面板开孔宽度s₆/mm	170

Table 2. Performance parameters of vibration isolator
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Table 2. Performance parameters of vibration isolator
隔振器型号动刚度/（N·mm⁻¹）冲击刚度/（N·mm⁻¹）阻尼比
x y z x y z
上层 BE-40 148 387 161 296 774 322 0.1
下层 BE-120 445 1280 483 890 2560 966 0.1

Table 3. Numerical simulation results of the original scheme
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Table 3. Numerical simulation results of the original scheme
$ \bar{L}_{{\text{d}}_1} $/dB $ \bar{A}_{{{\text{equ}1}}} $/g $ \bar{U}_{{{\text{equ}1}}} $/mm
仿真结果 45.27 19.42 41.25

Table 4. Comparison table of vibration level between experiment and simulation
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Table 4. Comparison table of vibration level between experiment and simulation
加速度合成级振级落差/dB 误差/%
原始方案试验结果原始方案数值仿真计算结果
45.27 43.76 3.45

Table 5. Training sample test design scheme

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Table 5. Training sample test design scheme

试验号	${d_1}$	${d_2}$	${d_3}$	${d_4}$	${d_6}$	${d_7}$	${d_8}$	$ \bar{L}_{{\text{d}}} $	$ \bar{U}_{{{\text{equ}}}} $	$ \bar{A}_{{{\text{equ}}}} $
1	5	6	10	12	13	16	18	47.43	40.82	19.24
2	6	8	16	7	9	13	17	47.21	41.16	19.40
3	7	10	9	15	5	10	16	45.64	41.46	19.43
4	8	12	15	10	14	7	15	47.11	41.56	19.45
5	9	14	8	5	10	17	14	47.09	41.72	19.47
6	10	16	14	13	6	14	13	47.03	42.05	19.40
7	11	5	7	8	15	11	12	47.21	41.09	19.42
8	12	7	13	16	11	8	11	47.08	41.47	19.42
9	13	9	6	11	7	18	10	46.92	41.65	19.47
10	14	11	12	6	16	15	9	46.50	41.91	19.44
11	15	13	5	14	12	12	7	46.28	42.07	19.39
12	16	15	11	9	8	9	8	46.47	42.26	19.28

Table 6. Determination coefficient and root mean square error table for each performance indicator
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Table 6. Determination coefficient and root mean square error table for each performance indicator
决定系数均方根误差
加速度合成级振级落差 0.973 3 0.021 4
设备质心最大平均位移 0.982 8 0.019 3
设备质心最大平均剩余加速度 0.974 6 0.024 9

Table 7. Optimized design parameters

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Table 7. Optimized design parameters

设计参数	初始值	优化值	取整后优化值
上面板厚度${d_1}$/mm	10	5.00	5
下面板厚度${d_2}$/mm	10	5.06	5
横向中间腹板厚度${d_3}$/mm	10	10.27	10
横向两侧腹板厚度${d_4}$/mm	10	12.38	12
前后两侧腹板厚度${d_6}$/mm	10	14.36	14
上层隔振器垫片厚度${d_7}$/mm	15	16.27	16
下层隔振器垫片厚度${d_8}$/mm	15	17.93	18

Table 8. Comparison of results before and after optimization

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Table 8. Comparison of results before and after optimization

方案	加速度合成级振级落差/dB	设备质心最大平均位移/mm	设备质心最大平均剩余加速度/g
原始方案	45.27	41.25	19.42
RBF-PSO算法优化	47.91	40.74	19.25
优化后模型数值计算	47.75	40.70	19.17

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Mingcheng XU, Shaoyu XIAO, Ruhang WANG, Guanjun ZHANG. Performance optimization and lightweight design of floating raft vibration isolation system based on RBF-PSO algorithm[J]. Chinese Journal of Ship Research, 2025, 20(4): 185

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