基于响应面法的蜂窝芯固有频率优化设计

The Optimization and Design of Natural Frequency for Honeycomb Core Based on Response Surface Method

对负泊松比蜂窝芯单元结构动态性能进行研究,选择蜂窝芯单元横梁长度、斜梁长度和其夹角三个参数为优化变量,运用响应面法理论模型建立了蜂窝芯单元结构前2阶固有频率近似显式数学模型;以提高蜂窝芯单元结构抗振性为研究目标,运用加权系数法将2阶固有频率模型转化为单目标问题研究,采用遗传算法对目标进行优化。参数优化结果表明,其前2阶固有频率分别提高了20%和35%,为航空航天结构应用提供了一定的参考价值。

The dynamic performance is researched for the honeycomb core structure with negative Poisson＇s ratio, and aiming to improve its resistance to vibration. Explicit expressions of the first-two-order modal＇s natural frequencies were established using the response surface method, and the optimized parameters included the length of the beam and the oblique beam, as well as the angle between them. Then weighting coefficient method was adopted to fuse the two modals into one cost function, and genetic algorithm was used to optimize it. Experimental results showed that the natural frequencies of the first-two-order modals is increased by 20% , 35% , respectively, which may provide some references for its application in aerospace.