Response Surface Optimization on Bamboo-like Lightweight Structure of Aircraft Brake Rod
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摘要: 起落架是飞机重要的部件之一,为降低结构重量和应力集中现象,结合3D打印技术的发展,在总质量不增加和外形尺寸不突破的前提下,将原十字结构改为空心圆柱结构,并参考竹结构,给出了两种起落架上刹车杆仿生结构,采用响应面法进行了进一步的参数寻优。仿真分析结果表明:采用仿竹结构后,两种仿竹结构质量分别降低了17%和14.98%,最大等效应力值分别降低了57.34%和57.90%。说明仿竹结构对降低最大等效应力具有非常好的作用。本优化方法对杆件轻量化设计具有实际意义,并可推广使用。Abstract: The landing gear is one of the important components of the aircraft. In order to reduce the structural weight and stress concentration, combined with the development of 3D printing technology, on the premise of no increase in the total mass and no breakthrough in the overall dimension, the original cross structure is changed into a hollow cylinder structure. With reference to the bamboo structure, two bionic structures of brake rod on landing gear are designed, and further parameter optimization is carried out by using the response surface method. The simulation results show that the quality of the two bamboo-like structures is reduced by 17% and 14.98%, respectively, and the maximum equivalent stress is reduced by 57.34% and 57.90%, respectively. It shows that the imitation bamboo structure has a good effect on reducing the maximum equivalent stress. The optimization method has practical significance for the lightweight design of rod structure, and can be popularized.
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表 1 Ⅰ型仿生刹车杆设计参数
Table 1. Design parameters of type I biomimetic brake rod
参数 优化内容 初始值 取值范围 X1 外层支撑筋厚度 2 1.6 ~ 3.6 X2 内层支撑筋厚度 4 2 ~ 4 X3 圆柱内槽直径 35 30 ~ 40 X4 1/2圆柱空腔深度 160 130 ~ 175 表 2 Ⅱ型仿生刹车杆设计参数
Table 2. Design parameters of type Ⅱ biomimetic brake rod
参数 优化内容 初始值 取值范围 X1 第一层支撑筋厚度 2.3 2.3 ~ 3.3 X2 第二层支撑筋厚度 2.3 2.3 ~ 3.3 X3 第三层支撑筋厚度 2.3 2.3 ~ 3.3 X4 第四层支撑筋厚度 2.3 2.3 ~ 3.3 X5 圆柱空腔直径 35 28 ~ 38 X6 1/2圆柱空腔深度 160 130 ~ 175 表 3 Ⅰ型仿生刹车杆3组最优解
Table 3. Three optimal solutions for Type I biomimetic brake rod
参数 候选点1 候选点2 候选点3 X1/mm 1.77 1.82 1.82 X2/mm 2.89 2.89 2.90 X3/mm 39.71 39.69 39.73 X4/mm 173.88 174.20 173.70 最大等效应力预测值/MPa 460.96 458.45 462.22 最大变形量预测值/mm 0.69978 0.69845 0.69937 最大等效应力有限元计算值/
MPa456.58 458.74 463.23 最大变形量有限元计算值/mm 0.70013 0.69876 0.69969 质量/kg 5.7601 5.763 0 5.7641 表 4 Ⅱ型仿生刹车杆3组最优解
Table 4. Three optimal solutions for Type Ⅱ biomimetic brake rod
参数 候选点1 候选点2 候选点3 X1/mm 2.36 2.30 2.34 X2/mm 2.52 2.51 2.51 X3/mm 2.49 2.47 2.49 X4/mm 2.35 2.36 2.37 X5/mm 37.760 37.756 37.758 X6/mm 174.80 174.21 174.55 最大等效应力预测值/MPa 460.55 462.27 461.15 最大变形量预测值/mm 0.67083 0.67037 0.67050 最大等效应力有限元计算值/
MPa450.92 467.65 452.74 最大变形量有限元计算值/mm 0.67111 0.67193 0.67122 质量/kg 5.9075 5.9098 5.9102 表 5 刹车杆优化前后性能对比
Table 5. Performance comparison of brake rod before and after optimization
类型 最大等效应力/MPa 最大变形量/mm 单位变
形量/%质量/kg 十字上刹车杆 1069.20 0.55162 0.101 6.9409 Ⅰ型仿生刹车杆
优化前502.79 0.63573 0.116 6.3095 Ⅰ型仿生刹车杆
优化后456.58 0.70013 0.129 5.7601 Ⅱ型仿生刹车杆
优化前521.20 0.62868 0.115 6.2868 Ⅱ型仿生刹车杆
优化后450.92 0.67111 0.124 5.9075 -
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