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An extended edge-based smoothed discrete shear gap method for free vibration analysis of cracked Reissner-Mindlin plate

机译：基于扩展边缘的平滑离散剪切间隙法，用于裂纹Reissner-Mindlin板的自由振动分析

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摘要

An extended edge-based smoothed discrete shear gap method (XES-DSG3) is proposed for free vibration analysis of cracked Reissner-Mindlin plate by implementing the edge-based strain smoothing operation into the discrete shear gap-based extended finiteelement method (XFEM-DSG3). In present method, the strain smoothing operation is implemented into the bending strain gradient matrices, in which the enriched functions are included. Then, the derivatives of element shape functions and derivatives of crack-tip singular enriched functions are not required in the computation. The calculation of element matrices is performed over the smoothing domains which are associated with edges of elements. The transverse shear locking of Reissner-Mindlin plate can be avoided by using the integration of discrete shear gap (DSG) method. Several numerical examples are investigated to illustrate the accuracy of XES-DSG3 for the free vibration analysis of cracked Reissner-Mindlin plate. Moreover, numerical results show that the present method is insensitive to mesh distortion and it is more stable than the pervious XFEM-DSG3.
机译：通过将基于边缘的应变平滑操作应用于基于离散剪切间隙的扩展有限元方法（XFEM-DSG3），提出了一种基于扩展边缘的平滑离散剪切间隙法（XES-DSG3），用于裂纹Reissner-Mindlin板的自由振动分析。 ）。在本方法中，将应变平滑操作实施到弯曲应变梯度矩阵中，其中包括丰富的函数。然后，在计算中不需要元素形状函数的导数和裂纹尖端奇异的丰富函数的导数。元素矩阵的计算是在与元素边缘关联的平滑域上执行的。 Reissner-Mindlin板的横向剪切锁定可以通过使用离散剪切间隙（DSG）集成方法来避免。研究了几个数值示例，以说明XES-DSG3对破裂的Reissner-Mindlin板的自由振动分析的准确性。此外，数值结果表明，该方法对网格变形不敏感，并且比以前的XFEM-DSG3更加稳定。

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  • 来源
    《Applied Mathematical Modelling》 |2017年第11期|477-504|共28页
  • 作者

    Yang Gang; Hu De’an; Han Xu; Ma Guowei;

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China,School of Civil, Environmental and Mining Engineering, the University of Western Australia, Perth, Australia;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, China;

    School of Civil, Environmental and Mining Engineering, the University of Western Australia, Perth, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Cracked Reissner-Mindlin plate; Discrete shear gap method; Extended finite element method; Mesh distortion; Strain smoothing; Vibration analysis;

    机译：Reissner-Mindlin板破裂;离散剪切间隙法扩展有限元法;网格变形;应变平滑;振动分析;

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