北京航空航天大学学报 ›› 2016, Vol. 42 ›› Issue (12): 2662-2668.doi: 10.13700/j.bh.1001-5965.2015.0819

• 论文 • 上一篇    下一篇

蜂窝壁缺失所致应力集中分析

石晓飞1, 席平1, 宋玉旺2, 李如1, 石晓娟3   

  1. 1. 北京航空航天大学 机械工程学院, 北京 100083;
    2. 华北电力大学 能源动力与机械工程学院, 北京 102206;
    3. 北京科技大学 天津学院, 天津 301830
  • 收稿日期:2015-12-17 出版日期:2016-12-20 发布日期:2016-04-18
  • 通讯作者: 席平,Tel.:010-82316747,E-mail:xiping@buaa.edu.cn E-mail:xiping@buaa.edu.cn
  • 作者简介:石晓飞,男,博士研究生。主要研究方向:航天器结构设计及强度仿真。E-mail:xiaofshi@foxmail.com;席平,女,博士,教授,博士生导师。主要研究方向:CAD/CAE、航天器数字化设计。Tel.:010-82316747,E-mail:xiping@buaa.edu.cn;宋玉旺,男,博士,讲师。主要研究方向:复杂产品数字化设计方法。E-mail:46102492@qq.com

Stress concentration analysis of honeycomb with missing cell walls

SHI Xiaofei1, XI Ping1, SONG Yuwang2, LI Ru1, SHI Xiaojuan3   

  1. 1. School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. School of Energy, Power and Mechanical Engineering, North China Electric Power University, Beijing 102206, China;
    3. Tianjin College, University of Science and Technology Beijing, Tianjin 301830, China
  • Received:2015-12-17 Online:2016-12-20 Published:2016-04-18

摘要: 蜂窝或胞壁缺失是蜂窝夹层结构缺陷形式的一种,由于蜂窝(壁)的缺失,导致蜂窝芯子的连续性被破坏,并产生应力集中。本文从蜂窝细观尺度出发,通过数值解析与有限元模拟相结合的方式对缺陷周围胞壁正应力进行分析,首先,通过有限元模拟得到胞壁的拉应力结果,结果表明,应力集中带状区上的胞壁标准化拉应力沿横向符合近似卡方概率密度函数的分布形式;存在一个临界位置使蜂窝壁拉应力分布曲线出现反转。其次,对蜂窝缺陷最大拉应力处的壁内弯矩值与胞壁缺失个数的关系进行了推导。最后,给出了预估弯曲应力的公式,并分析了缺陷形状对预估公式参数的影响。

关键词: 蜂窝结构, 预埋结构, 缺陷, 应力集中, 有限元法

Abstract: A kind of defect with some of the cell walls missing in a honeycomb structure causes the loss of continuum of the honeycomb, and thus results in the stress concentration around the defect tip. Combined with the finite element and the analytic methods, this paper analyzed the normal stresses distribution on the cell wall at the defect tip in meso-scale. The finite element results of the tensile stress of the cell walls are obtained first. The results shows that the x-directional stress distribution in the stress concentration strip area fits the probability distribution function of the quasi chi square distribution. There exists a band zone in which the normal stress is much higher than the rest of areas. The distribution of the normal stress of cell walls conform the in the band; there also exists a critical position at which the variation trend of distribution function inverses; secondly, the relation between moments of cell wall and the number of the missing walls is analytically researched. At last. a prediction equation of the bending stress is developed and the influence of defect shape on formula is analyzed.

Key words: honeycomb structure, embed structure, defect, stress concentration, finite element method

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