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<p>The isogeometric analysis (IGA) suffers from difficulties in analyzing complex geometries since it requires specific knowledge to determine the positions and weights of the control points. Here, an adaptive integration IGA approach is proposed for the eigenvalue analysis of the laminate Reissner–Mindlin plates with complex cutouts. An adaptive integration scheme and a level set method are combined to describe the complex cutouts. An artificial shearing correction factor is introduced to alleviate the serious shear locking. A segmented density interpolation scheme is developed to avoid the localized eigenmodes. Numerical examples are conducted to verify the performance of the proposed approach.</p>

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An adaptive isogeometric approach for eigenvalue analysis of laminated composite plates with arbitrary cutouts

  • 期刊论文

  • 发表日期：

    2024年12月31日

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  • Haoqing Ding,
  • Bingwen Qian,
  • Yutao Hu,
  • Changli Wang,
  • Xin Zhang,
  • Ruqi Sun,
  • Teng Pan,
  • Jincheng Yang

摘要

The isogeometric analysis (IGA) suffers from difficulties in analyzing complex geometries since it requires specific knowledge to determine the positions and weights of the control points. Here, an adaptive integration IGA approach is proposed for the eigenvalue analysis of the laminate Reissner–Mindlin plates with complex cutouts. An adaptive integration scheme and a level set method are combined to describe the complex cutouts. An artificial shearing correction factor is introduced to alleviate the serious shear locking. A segmented density interpolation scheme is developed to avoid the localized eigenmodes. Numerical examples are conducted to verify the performance of the proposed approach.