基于负泊松比蜂窝的复合式柔性蒙皮优化技术

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

  • 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%。

     

    Abstract: The geometric parameter optimization method of flexible skin composed of negative Poisson's ratio honeycomb core and elastic skin was proposed. Firstly, a parameterized modeling method for the flexible skin structure was designed, with geometric parameters such as cell wall length, cell wall Angle, honeycomb height, cell wall thickness and skin thickness. Secondly, the sample points were obtained by uniform experimental design method, the finite element models of flexible skin structure were constructed using the parameterized method, and the structural performance corresponding to various combinations of geometric parameters was obtained through simulation. Then, an approximate model for the relationship between the geometric parameters of the flexible skin and the structural performance was constructed using the response surface method, and the accuracy of the approximate model was quantitatively evaluated. Finally, based on the approximate model, taking the geometric parameters of the flexible skin as optimization variables, and considering the factors such as internal strain, Poisson's ratio, out-of-plane deflection, and mass, a comprehensive optimization objective function was constructed using the weighted coefficient method, and the optimal configuration of the flexible skin structure was obtained by genetic algorithm. A finite element model of the composite flexible skin was constructed to validate the optimization. The results show that compared with the initial configuration, the in-plane deformation capacity is increased by 30.73%, the out-of-plane load capacity is increased by 30%, the structural mass is reduced by 22.77%, and the Poisson’s ratio is reduced by 20.73%.

     

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