SLM制备的小长径比四棱锥点阵填充轻量化研究

doi:10.3901/JME.2021.24.132

机械工程学报 ›› 2021, Vol. 57 ›› Issue (24): 132-138.doi: 10.3901/JME.2021.24.132

• 特邀专栏：液压元件及系统轻量化关键技术 • 上一篇下一篇

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SLM制备的小长径比四棱锥点阵填充轻量化研究

李永欣¹, 郭长春¹, 李凯伦¹, 于天²

1. 燕山大学机械工程学院河北省重型智能制造装备技术创新中心秦皇岛 066044;
2. 北京航空航天大学前沿科学技术创新研究院北京 100191

收稿日期:2021-06-15 修回日期:2021-10-21 出版日期:2021-12-20 发布日期:2022-02-28
通讯作者: 于天(通信作者),男,1989年出生,博士,助理研究员,硕士研究生导师。主要研究方向为轻量化液压元件与系统、电静液作动器。E-mail:tianyu92565@buaa.edu.cn
作者简介:李永欣,女,1984年生,博士,副教授。主要研究方向结构拓扑优化,增材制造力学性能,轻量化设计。E-mail:liyongxin@ysu.edu.cn
基金资助:
国家自然科学基金资助项目（51890881）。

Filling Lightweight Research on Pyramid Lattice with Small Slenderness Ratio Fabricated by SLM

LI Yongxin¹, GUO Changchun¹, LI Kailun¹, YU Tian²

1. Heavy-duty Intelligent Manufacturing Equipment Innovation Center of Hebei Province, School of Mechanical Engineering, Yanshan University, Qinghuangdao 066004;
2. Research Institute for Frontier Science Beihang University, Beihang University, Beijing 100191

Received:2021-06-15 Revised:2021-10-21 Online:2021-12-20 Published:2022-02-28

摘要/Abstract

摘要： EHA（电静液驱动执行器）是航空飞行器中动作控制的集成核心部件，高功重比要求对多个部件进行极值轻量化设计，但是由于可填充区域尺寸受限，导致用于轻量化填充的点阵单杆长径比较小。针对现有欧拉梁理论对短粗杆计算准确性差的问题，基于铁木辛柯梁理论进行小长径比的四棱锥点阵静力学性能推导。结果表明，基于铁木辛柯梁理论的小长径比四棱锥点阵的等效弹性模量与长径比的二次方呈反比，等效屈服强度与长径比的二次方呈正比。此外，针对SLM（选择性激光熔化）工艺在激光成型方向呈现的各向异性现象，通过试验得到屈服强度随悬垂角度的各向异性数据，并将此规律拟合融入性能表征公式，以此寻优得到考虑工艺约束的四棱锥点阵填充参数。最后，采用拓扑优化和点阵填充的方法对EHA电机壳进行轻量化设计，由选区激光熔化进行增材制造，结果减重近200 g，占原模型16.3%。

关键词: 选区激光熔化, 四棱锥点阵, 铁木辛柯梁, 填充轻量化

Abstract: Electro-hydrostatic actuator(EHA) is a highly integrated component in the motion control of aircraft. High ratio of power to weight requires extreme lightweight design for multiple components. However, due to small filling area and limited size, slenderness ratio of filling lattice rod is small. In order to solve the poor accuracy of Euler beam theory for short bars, the static performance of pyramid lattice are deduced with small slenderness ratio based on Timoshenko beam theory. Derived equations show that the equivalent elastic modulus of quadrangular pyramid lattice with small aspect ratio based on Timoshenko beam theory is inversely proportional to the square of aspect ratio, and the equivalent yield strength is proportional to the square of aspect ratio. In addition, in view of the anisotropy of the selective laser melting (SLM) process in laser forming direction, the anisotropy data of the yield strength with the overhang angle is obtained through static experiments, and this law is fitted into the performance characterization formula. The filling parameters of quadrangular pyramid lattice considering process constraints are obtained by size optimization. Selective laser melting is utilized to manufacture the lightweight casing. Compared results shows that the weight of EHA motor shell is reduced by nearly 200 g, accounting for 16.3% of original model.

Key words: selective laser melting, pyramid lattice, Timoshenko beam, filling lightweight

中图分类号:

TH122

李永欣, 郭长春, 李凯伦, 于天. SLM制备的小长径比四棱锥点阵填充轻量化研究[J]. 机械工程学报, 2021, 57(24): 132-138.

LI Yongxin, GUO Changchun, LI Kailun, YU Tian. Filling Lightweight Research on Pyramid Lattice with Small Slenderness Ratio Fabricated by SLM[J]. Journal of Mechanical Engineering, 2021, 57(24): 132-138.

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SLM制备的小长径比四棱锥点阵填充轻量化研究

Filling Lightweight Research on Pyramid Lattice with Small Slenderness Ratio Fabricated by SLM

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