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基于负泊松比蜂窝的复合式柔性蒙皮优化技术

郭瑜超 聂小华 宋晨 艾森 常亮

郭瑜超, 聂小华, 宋晨, 等. 基于负泊松比蜂窝的复合式柔性蒙皮优化技术[J]. 复合材料学报, 2024, 43(0): 1-12.
引用本文: 郭瑜超, 聂小华, 宋晨, 等. 基于负泊松比蜂窝的复合式柔性蒙皮优化技术[J]. 复合材料学报, 2024, 43(0): 1-12.
GUO Yuchao, NIE Xiaohua, SONG Chen, et al. Optimization technology for composite flexible skin based on negative Poisson's ratio honeycomb[J]. Acta Materiae Compositae Sinica.
Citation: GUO Yuchao, NIE Xiaohua, SONG Chen, et al. Optimization technology for composite flexible skin based on negative Poisson's ratio honeycomb[J]. Acta Materiae Compositae Sinica.

基于负泊松比蜂窝的复合式柔性蒙皮优化技术

基金项目: 工信部民机科研(MJZ3-2N21);陕西省重点研发计划(2022ZDLGY02-03)
详细信息
    通讯作者:

    郭瑜超,硕士,高级工程师,研究方向为航空结构仿真技术及结构分析CAE软件 E-mail: guoyuchao1986@163.com

  • 中图分类号: TB124

Optimization technology for composite flexible skin based on negative Poisson's ratio honeycomb

Funds: Civil Aircraft Research Projects (MJZ3-2N21); Key R & D Program of Shaanxi Province (2022ZDLGY02-03)
  • 摘要: 针对由负泊松比蜂窝夹芯和弹性表皮构成的复合式柔性蒙皮,提出了柔性蒙皮几何参数优化方法。首先,将柔性蒙皮的胞壁长度、胞壁夹角、蜂窝高度、胞壁厚度、表皮厚度等几何参数作为变量,设计了柔性蒙皮结构参数化建模方法;其次,通过均实验设计方法获取样本点,利用参数化方法构建柔性蒙皮结构有限元模型,并通过仿真获取各几何参数组合状态对应的结构性能;然后,基于响应面方法构造柔性蒙皮几何参数与结构性能关系的近似模型,并对近似模型的精度进行了定量评估;最后,以近似模型为基础,以柔性蒙皮几何参数为优化变量,综合考虑面内应变、泊松比、面外挠度、质量等因素,采用加权系数法构造了综合优化目标函数,并采用遗传算法进行优化,得到了柔性蒙皮结构综合性能最优的构型。构建了复合式柔性蒙皮有限元模型,进行优化方法验证,结果显示,优化后的构型与初始构型相比,面内变形能力提升30.73%,面外承载能力提高30%,结构质量减轻22.77%,泊松比降低20.73%。

     

  • 图  1  PDMS-Nylon6复合材料柔性蒙皮及蜂窝胞元

    Figure  1.  PDMS-Nylon6 composite flexible skin structure and honeycomb cell

    ${L_1}$ and ${L_2}$ are the lengths of the walls of the cell; $\theta $ is the angle between the walls; $t$ is the thickness of the walls

    图  2  PDMS-Nylon6复合材料柔性蒙皮厚度方向尺寸

    Figure  2.  Thickness of the PDMS-Nylon6 composite flexible skin

    ${t_{\text{f}}}$ is the thickness of the elastic skin; $H$ is the height of the honeycomb

    图  3  PDMS-Nylon6复合材料柔性蒙皮结构综合优化流程

    Figure  3.  Optimization process of PDMS-Nylon6 composite flexible skin structure

    图  4  PDMS-Nylon6复合材料柔性蒙皮参数化模型边界条件

    Figure  4.  Boundary conditions of the parametric model of PDMS-Nylon6 composite flexible skin

    图  5  PDMS-Nylon6复合材料柔性蒙皮模型的变形计算结果

    Figure  5.  Deformation calculation results of the PDMS-Nylon6 composite flexible skin model

    图  6  PDMS-Nylon6复合材料柔性蒙皮响应面方法建模流程图

    Figure  6.  PDMS-Nylon6 composite flexible skin response surface method modeling process diagram

    图  7  遗传算法流程图

    Figure  7.  Process of Genetic Algorithm

    图  8  优化前后PDMS-Nylon6复合材料柔性蒙皮变形结果对比

    Figure  8.  Comparison of the deformation results of the PDMS-Nylon6 composite flexible skin before and after optimization

    表  1  聚二甲基硅氧烷(PDMS)-Nylon6复合材料力学性能

    Table  1.   Mechanical properties of Polydimethylsiloxane (PDMS)-Nylon6 composite materials

    MaterialElastic modulus/
    MPa
    Poisson's ratioDensity/
    ($kg \cdot m{m^{ - 3}}$)
    Nylon61.060.35$1.14 \times {10^{ - 6}}$
    PDMS1.80.49$2.33 \times {10^{ - 6}}$
    下载: 导出CSV

    表  2  PDMS-Nylon6复合材料柔性蒙皮模型边界条件

    Table  2.   Boundary conditions of the PDMS-Nylon6 composite flexible skin model

    Boundary Boundary of in-plane
    load conditions
    Boundary of out-plane load conditions
    A ${u_x} = {u_y} = {u_{\textit{z}}} = 0$
    ${\gamma _x} = {\gamma _y} = {\gamma _z} = 0$
    ${u_x} = {u_y} = {u_{\textit{z}}} = 0$
    ${\gamma _x} = {\gamma _y} = {\gamma _{\textit{z}}} = 0$
    B ${F_x}$
    ${\gamma _x} = {\gamma _y} = {\gamma _{\textit{z}}} = 0$
    ${u_x} = {u_y} = {u_{\textit{z}}} = 0$
    ${\gamma _x} = {\gamma _y} = {\gamma _{\textit{z}}} = 0$
    C Free Free
    D Free Free
    E Free Free
    F Free ${P_{\text{n}}} = 0.001{\text{MPa}}$
    下载: 导出CSV

    表  3  PDMS-Nylon6复合材料柔性蒙皮均匀实验设计

    Table  3.   Uniform experimental design for PDMS-Nylon6 composite flexible skin

    Parameters Levels
    1 2 3 4 5
    ${L_1}$/mm 4.5 4.75 5 5.25 5.5
    ${L_2}$/ mm 6.75 7.125 7.5 7.875 8.25
    $\theta $ /(°) 31.5 33.25 35 36.75 38.5
    H /mm 1.8 1.9 2 2.1 2.2
    t /mm 0.45 0.475 0.5 0.525 0.55
    ${t_{\text{f}}}$/ mm 0.9 0.95 1 1.05 1.1
    F / N 450 475 500 525 550
    Notes: F is the external load.
    下载: 导出CSV

    表  4  PDMS-Nylon6复合材料柔性蒙皮近似模型的评估

    Table  4.   Evaluation of the approximated model for PDMS-Nylon6 composite flexible skin

    ${\varepsilon _x}$μωG
    R0.99960.99990.99991.0
    $\bar e$0.99%0.32%0.83%0.05%
    ${\sigma _e}$1.20%0.24%0.67%0.06%
    Notes: ${\varepsilon _x}$ is the in-plane tensile strain; μ is the Poisson’s ratio; ω is the out-of-plane deflection; G is the structural mass; R is the correlation coefficient; $\bar e$ is the mean of the relative error; ${\sigma _e}$ is the standard deviation of the relative error.
    下载: 导出CSV

    表  5  优化前后PDMS-Nylon6复合材料柔性蒙皮的几何参数对比

    Table  5.   Comparison of geometric parameters of PDMS-Nylon6 composite flexible skin before and after optimization

    VariableInitial valueOptimized value
    ${L_1}$/mm54.5
    ${L_2}$/ mm7.57.3164
    $\theta $ /(°)3538.5
    H /mm22.2
    t /mm0.650.45
    ${t_{\text{f}}}$/ mm10.9
    下载: 导出CSV

    表  6  优化前后PDMS-Nylon6复合材料柔性蒙皮的性能对比

    Table  6.   Comparison of PDMS-Nylon6 composite flexible skin performance before and after optimization

    VariableInitial valueOptimized valuePercent change
    ${\varepsilon _x}$23.92%31.27%30.73%
    $\mu $1.38861.1008-20.73%
    $\omega $1.6%1.12%-30%
    G0.05840.0451-22.77%
    F(x)0.35220.0740-78.99%
    下载: 导出CSV
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出版历程
  • 收稿日期:  2024-07-09
  • 修回日期:  2024-09-15
  • 录用日期:  2024-09-28
  • 网络出版日期:  2024-10-19

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