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

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (22) : 29-39.

论文

邹震1,2，徐峰祥1,2，徐智钊1,2，蒋舟顺1,2

作者信息 +

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

ZOU Zhen1,2，XU Fengxiang1,2，XU Zhizhao1,2，JIANG Zhoushun1,2

Author information +

文章历史 +

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。本文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。

Abstract

In order to solve the problem that the improvement effect of gradient design on honeycomb impact performance cannot be maximized due to the design of empirical gradient distribution and discontinuous variable gradient for existing gradient honeycomb. In this paper, a parametric design with topology-optimized density mapping honeycomb structure is proposed based on the variable density topology optimization method. The corresponding topologically optimized density-mapped honeycomb structure model is established by changing the 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 are studied under different impact velocities. The results show that the mapping coefficients, relative densities and impact velocities have significant effects on the in-plane deformation modes of the topologically optimized density mapped 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 standard homogeneous honeycomb of the same mass and size show that the PCF of the topologically optimized density mapped honeycomb is reduced by 16.9%, while the SEA is increased by 29.1%, respectively. It is shown that introducing the topology-optimized continuous variable density method into the design of gradient honeycomb can effectively improve the impact performance of honeycomb structure.

导出引用

邹震1,2，徐峰祥1,2，徐智钊1,2，蒋舟顺1,2. 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[J]. 振动与冲击, 2023, 42(22): 29-39

ZOU Zhen1,2，XU Fengxiang1,2，XU Zhizhao1,2，JIANG Zhoushun1,2. Parametric design and impact performance research of variable density honeycomb structure based on topology optimization[J]. Journal of Vibration and Shock, 2023, 42(22): 29-39

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