基于响应面法的负泊松比蜂窝芯结构多目标优化  

Structure multi-objective optimization of negative poisson's ratio honeycomb core based on response surface method

作　　者：刘明[1] 李永新[1] 吴金玺[1] 李天齐[1] 吴巍巍[1] 

机构地区：[1]中国科学技术大学精密机械与精密仪器系,合肥230027

出　　处：《现代制造工程》2015年第10期1-3,73,共4页Modern Manufacturing Engineering

基　　金：国家自然科学基金项目(51075380);国家自然科学基金重大研究计划重点项目(90816026)

摘　　要：以负泊松比六边形蜂窝芯结构为研究对象,以提高蜂窝芯结构抗振能力和尽可能减小其结构质量为研究目标,运用响应面理论模型,建立了蜂窝芯结构的低阶模态固有频率的近似显式表达式;采用加权系数法,将固有频率和结构质量的多目标优化问题转化为单目标优化,结合遗传算法进行目标优化。具体算例表明,参数优化后的蜂窝芯结构固有频率提高了25%,结构质量减小了10%,这为超弹性蜂窝蒙皮结构设计提供了很好的依据。The honeycomb core structure with negative Poisson＇s ratio is studied. We aim to improve its resistance to vibration and reduce its mass. An explicit expression of the lower order modal＇ s natural frequencies is established using the response surface method. The multi-objective optimization problem is transferred to a single-objective optimization using weighting coefficient meth- od, and the genetic algorithm is adopted to carry out optimization. Experimental results show that the natural frequency of the hon- eycomb core structure is increased by 25% ,while the total mass of the structure is reduced by 10% ,which provides a good basis for hyper elastic cellular skin structure design.

关 键 词：蜂窝芯 响应面法 固有频率 多目标优化 

分 类 号：TH122[机械工程—机械设计及理论]