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This study introduces an improved density filter that effectively manages the intricacy of the topology optimization structure. The proposed filter is implemented within a homogeneous isotropic elastic material domain. The findings demonstrate that the utilization of this novel filter effectively mitigates the challenging checkerboard phenomenon commonly encountered in topology optimization problems. The topology optimization approach employed in this study aims to minimize the material based on the minimum compliance objective, while accommodating multiple initial structural constraints. The findings explore the most effective arrangement in terms of the number of iterations and the value of the objective function, supported by various numerical illustrations.

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An Efficient Filter for Topology Optimization of Isotropic Elastic Materials in the Two-Dimensional Design Domain

  • 会议论文

  • 发表日期：

    2025年

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  • Quy-Tho Nhu,
  • Ngoc-Tien Tran,
  • Thi-Thao Tran,
  • Van-Long Trinh

摘要

This study introduces an improved density filter that effectively manages the intricacy of the topology optimization structure. The proposed filter is implemented within a homogeneous isotropic elastic material domain. The findings demonstrate that the utilization of this novel filter effectively mitigates the challenging checkerboard phenomenon commonly encountered in topology optimization problems. The topology optimization approach employed in this study aims to minimize the material based on the minimum compliance objective, while accommodating multiple initial structural constraints. The findings explore the most effective arrangement in terms of the number of iterations and the value of the objective function, supported by various numerical illustrations.