Bezier曲线优化Voronoi泡沫铝几何模型研究

doi:10.3901/JME.2022.04.041

机械工程学报 ›› 2022, Vol. 58 ›› Issue (4): 41-47.doi: 10.3901/JME.2022.04.041

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Bezier曲线优化Voronoi泡沫铝几何模型研究

庄蔚敏¹, 孙健¹, 解东旋²

1. 吉林大学汽车仿真与控制国家重点实验室长春 130022;
2. 一汽大众汽车有限公司长春 130011

收稿日期:2021-10-10 修回日期:2021-12-14 出版日期:2022-02-20 发布日期:2022-04-30
通讯作者: 孙健(通信作者),男,1995年出生,博士研究生。主要研究方向为车身结构设计与优化、有限元分析和金属成形技术。E-mail:sj643427313@163.com
作者简介:庄蔚敏,女,1970年出生,博士,教授,博士研究生导师。主要研究方向为车身轻量化、车身结构设计与优化、有限元分析和金属成形技术。E-mail:zhuangwm@jlu.edu.cn
基金资助:
国家自然科学基金(51775227)和吉林省自然科学基金(20210101054JC)资助项目。

Study on Optimization of Voronoi Foam Aluminum Geometric Model Based on Bezier Curve

ZHUANG Weimin¹, SUN Jian¹, XIE Dongxuan²

1. State Key Laboratory of Automotive Simulation and Control, Jilin University, Changchun 130022;
2. FAW-Volkswagen Automotive Co., Ltd., Changchun 130011

Received:2021-10-10 Revised:2021-12-14 Online:2022-02-20 Published:2022-04-30

摘要/Abstract

摘要： 闭孔泡沫铝材料因其轻质、比强度和比刚度高、抗冲击和吸能特性好等优点在汽车制造等领域应用广泛。然而，目前用于仿真计算的泡沫铝材料几何建模研究仍有不足，广泛使用的Voronoi模型无法模拟真实泡沫铝材料内部圆弧状的胞孔结构。在传统Voronoi模型基础上，建立具有周期性边界的二维Bezier曲线优化模型。通过引入填充度概念，并建立孔隙率关于填充度的一元幂函数方程，可以生成71%～93%指定孔隙率二维泡沫铝几何优化模型，能够还原真实泡沫铝内部结构。利用优化模型进行泡沫铝材料单轴压缩仿真计算，结果相较于传统Voronoi模型更接近试验值。分析优化模型仿真计算过程中随机剪切带的演化，从细观变形角度验证了优化模型的准确性。Bezier曲线优化模型的开发为泡沫铝材料高仿真几何建模研究提供了理论基础。

关键词: 泡沫铝, 孔隙率, Bezier曲线, 填充度, 细观变形

Abstract: Closed-cell aluminum foam has been widely used in automobile industry because of its advantages such as light weight, strong specific strength and specific stiffness, good impact resistance and energy absorption. However, the geometric modeling of aluminum foam for simulation calculation is still insufficient. The widely used Voronoi model cannot simulate the circular cell structure inside the aluminum foam. Based on the traditional Voronoi model, a two-dimensional Bezier curve optimized model with periodic boundary is established. By introducing the concept of filling degree, the unitary power function of porosity with respect to filling degree is established. A two-dimensional aluminum foam geometrical optimized model with specified porosity of 71%～93% can be generated. The optimized model can simulate the real internal structure of aluminum foam. The uniaxial compression simulation experiment of aluminum foam is carried out. Compared with the traditional Voronoi model, the optimized model has better consistency with the experiment. The evolution of random shear bands in the simulation of the optimized model is analyzed, and the accuracy of the optimized model is verified from the perspective of mesoscopic deformation. The proposal of the Bezier curve optimized model provides a theoretical basis for the study of highly simulative geometric modeling of aluminum foam.

Key words: aluminum foam, porosity, Bezier curve, filling degree, mesoscopic deformation

中图分类号:

U465

庄蔚敏, 孙健, 解东旋. Bezier曲线优化Voronoi泡沫铝几何模型研究[J]. 机械工程学报, 2022, 58(4): 41-47.

ZHUANG Weimin, SUN Jian, XIE Dongxuan. Study on Optimization of Voronoi Foam Aluminum Geometric Model Based on Bezier Curve[J]. Journal of Mechanical Engineering, 2022, 58(4): 41-47.

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Bezier曲线优化Voronoi泡沫铝几何模型研究

Study on Optimization of Voronoi Foam Aluminum Geometric Model Based on Bezier Curve

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