基于响应面与改进差分进化算法的飞行器连接箍带参数优化

doi:10.7527/S1000-6893.2026.33038

Abstract

Abstract:

To address the issue of resonance easily induced by random vibrations in the connecting bands between the mother and child platforms of an aircraft during carrier-based flight operations， this study conducted an optimization design. It comprehensively employed parametric modeling， finite element analysis， the response surface method， and an improved differential evolution algorithm to carry out multi-objective collaborative optimization research. By innovatively combining the response surface method with an improved differential evolution algorithm， this study constructed high-precision response surface models to transform complex engineering problems into quantifiable mathematical models. Leveraging the global optimization capabilities of the improved differential evolution algorithm to overcome the limitations of traditional methods， the study significantly enhanced optimization efficiency and computational accuracy. The optimization results show that the structural stress of the connecting clamp band decreased by approximately 15%， effectively enhancing structural reliability； the modal shift rate of the clamp band increased by nearly 30%， significantly reducing the risk of resonance； the mass of the clamp band was reduced by up to 30%， achieving an organic integration of reduced structural stress， resonance suppression， and structural lightweighting. Ultimately， an optimal design scheme for the clamp band connecting the mother and daughter platforms was obtained， with the relative error between model predictions and simulation experimental values remaining within 6%. This research provides an effective technical pathway for enhancing the performance of aircraft mother-daughter platforms， and its methods and conclusions can serve as a reference for the optimization design of similar aerospace equipment.

Key words: aircraft, connecting band, parametric modeling, response surface methodology, improved differential evolution algorithm, multi-objective optimization

CLC Number:

V275⁺.3

Hongwei LIU, Haibo LIU, Tongrong ZHANG, Weifeng LUO, Shufeng ZHANG, Wenqiang PAN. Optimization of aircraft connection band parameters based on response surface and improved differential evolution algorithm[J]. Acta Aeronautica et Astronautica Sinica, 2026, 47(15): 233038.

Figures/Tables 21

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References 27

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阶数	频率/Hz
阶数	实验值	仿真值
1	159.044	145.99
2	279.363	279.81
3	335.356	322.76
4	628.357	589.03
5	799.176	792.21
6	852.730	979.22

参数	下限值	初始值	上限值
x₁/mm	20	25	28
x₂/mm	10	14	20
x₃/N	1 500	1 600	1 700
x₄/N	900	985	1 000
x₅	0.1	0.2	0.3

序号	x₁/mm	x₂/mm	x₃/N	x₄/N	x₅	y₁/MPa	y₂/%	y₃/（10^-2 kg）
1	21.5	18.2	1 501	964	0.25	274.94	80.24	12.71
2	23.6	15.4	1 694	982	0.15	290.25	56.78	10.7
3	26.7	18.6	1 678	960	0.15	262.33	54.76	13
4	25.4	17.7	1 685	955	0.2	269.95	57.16	12.35
5	25.7	19.9	1 698	945	0.23	255.76	80.66	13.93
51	20	13.2	1 665	917	0.23	315.84	77.22	9.77

参数	y₁	y₂	y₃
R²	0.91	0.94	0.99
RMSE	10.62	0.185 2	0.027 2

参数	实验值	优化预测值	误差/%
y₁/MPa	256.86	246.31	4.1
y₂/%	76.27	71.71	5.9
y₃/kg	6.79×10^-2	6.45×10^-2	5.0

Optimization of aircraft connection band parameters based on response surface and improved differential evolution algorithm

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参数	优化前	优化后
y₁/MPa	301.82	256.86
y₂/%	59.19	76.27
y₃/（10^-2 kg）	9.69	6.79

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