基于拓扑优化的变密度蜂窝结构参数化设计及冲击性能研究  

Parametric design and impact performance research of variable density honeycomb structure based on topology optimization

作　　者：邹震 徐峰祥[1,2] 徐智钊 蒋舟顺 ZOU Zhen;XU Fengxiang;XU Zhizhao;JIANG Zhoushun(Hubei Key Laboratory of Advanced Technology of Automotive Components,Wuhan University of Technology,Wuhan 430070,China;Hubei Collaborative Innovation Center for Automotive Components Technology,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学现代汽车零部件技术湖北省重点实验室,武汉430070 [2]武汉理工大学汽车零部件技术湖北省协同创新中心,武汉430070

出　　处：《振动与冲击》2023年第22期29-39,共11页Journal of Vibration and Shock

基　　金：国家自然科学基金(51975438);高等学校学科创新引智计划(B17034)。

摘　　要：针对现有梯度蜂窝结构的经验式、非连续变梯度等设计方法,无法充分发挥梯度设计对蜂窝结构冲击性能提升效果的问题。基于变密度拓扑优化方法,提出了一种参数化设计的拓扑优化密度映射蜂窝结构,通过改变映射系数、相对密度构建了相应的拓扑优化密度映射蜂窝结构模型。研究了不同冲击速度下,映射系数、相对密度对其面内变形模式、力学响应和能量吸收性能的影响。结果表明,映射系数、相对密度对不同冲击速度下的拓扑优化密度映射蜂窝的面内变形模式具有显著影响,增大映射系数有益于提高其平台应力和比吸能,与相同质量、尺寸的标准蜂窝冲击性能对比结果显示:拓扑优化密度映射蜂窝的峰值应力降低了16.9%、比吸能提高了29.1%。研究表明,将变密度拓扑优化方法引入至梯度蜂窝结构的设计可有效提高其冲击性能。The improvement effect of the gradient design of existing gradient honeycombs on the honeycomb impact performance usually cannot be maximized due to the fact that the design is based on the assumption of empirical gradient distribution and discontinuous variable gradient.In the paper,a parametric design scheme for topology-optimized density mapping honeycomb structures was proposed by using the variable density topology optimization method.The corresponding structure model was established by using the varying parameters of relative density and mapping coefficient.The effects of gradient coefficient and relative density on its in-plane impact deformation mode,mechanical response and energy absorption characteristics were studied under different impact velocities.The results show that the mapping coefficient,relative density and impact velocity have significant effects on the in-plane deformation modes of the topologically optimized density mapping honeycomb,and the increase of the mapping coefficient is beneficial to improve its platform stress and specific absorption energy.The comparison results with the impact performance of the standard homogeneous honeycomb with the same mass and size show that the peak crushing force of the topologically optimized density mapping honeycomb is reduced by 16.9%,while the specific energy absorption is increased by 29.1%,respectively.It is shown that introducing the topology-optimized continuous variable density method in the design of gradient honeycombs can effectively improve the impact performance of honeycomb structures.

关 键 词：蜂窝结构 拓扑优化 面内冲击 非均质 能量吸收 

分 类 号：TH212[机械工程—机械制造及自动化]