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ANCF/CRBF平面梁闭锁问题及闭锁缓解研究

张大羽 罗建军 王辉 马小飞

张大羽, 罗建军, 王辉, 马小飞. ANCF/CRBF平面梁闭锁问题及闭锁缓解研究[J]. 力学学报, 2021, 53(3): 874-889. doi: 10.6052/0459-1879-20-296
引用本文: 张大羽, 罗建军, 王辉, 马小飞. ANCF/CRBF平面梁闭锁问题及闭锁缓解研究[J]. 力学学报, 2021, 53(3): 874-889. doi: 10.6052/0459-1879-20-296
Zhang Dayu, Luo Jianjun, Wang Hui, Ma Xiaofei. LOCKING PROBLEM AND LOCKING ALLEVIATION OF ANCF/CRBF PLANAR BEAM ELEMENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 874-889. doi: 10.6052/0459-1879-20-296
Citation: Zhang Dayu, Luo Jianjun, Wang Hui, Ma Xiaofei. LOCKING PROBLEM AND LOCKING ALLEVIATION OF ANCF/CRBF PLANAR BEAM ELEMENTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 874-889. doi: 10.6052/0459-1879-20-296

ANCF/CRBF平面梁闭锁问题及闭锁缓解研究

doi: 10.6052/0459-1879-20-296
基金项目: 1) 中国博士后科学基金(2020M683601);国家自然科学基金(61690210);国家自然科学基金(61690211);国家自然科学基金(U1537213)
详细信息
    作者简介:

    2) 王辉, 研究员, 主要研究方向: 空间可展开结构设计与动力学. E-mail: 13519122235@139.com

    通讯作者:

    王辉

  • 中图分类号: O313.7

LOCKING PROBLEM AND LOCKING ALLEVIATION OF ANCF/CRBF PLANAR BEAM ELEMENTS

  • 摘要: 本文系统地研究了基于一致旋转场列式的绝对节点坐标 (ANCF consistentrotation-based formulation, ANCF/CRBF)平面梁单元的泊松闭锁问题及闭锁缓解技术.为了全面理解该类型单元的闭锁特性及明确单元的应用范围,文中首先开发了两种新的ANCF/CRBF刚性截面梁单元, 新单元在ANCF全参数梁的基础上,对梯度向量施加正交矩阵约束, 得到梯度与转角对时间导数之间的速度转换矩阵,从而引入转角参数. 新单元节点处完全消除了泊松闭锁和剪切效应,这是与传统ANCF/CRBF刚性截面梁单元的不同之处. 然后,对比分析了这三种ANCF/CRBF刚性截面梁单元泊松闭锁的特点.发现该类型单元对节点的横向梯度施加了运动学约束, 导致节点处截面不能变形,无法捕捉泊松效应, 但是单元内部能完全捕捉,这种不连续情况会加重单元整体的泊松闭锁问题. 并且发现对单元梯度约束的越多,闭锁问题越严重. 随后, 分别采用两种闭锁缓解技术, 弹性线方法和应变分解方法,进一步研究了单元的收敛性. 最终,通过多种静力学和动力学测试研究了泊松闭锁对ANCF/CRBF平面梁单元计算精度的影响及闭锁缓解技术在该类型单元上的缓解效果.

     

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  • 收稿日期:  2020-08-21
  • 刊出日期:  2021-03-10

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