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| Topology optimization of harmonic excitation structures based on isogeometric analysis and material field series expansion model |
| Received:April 27, 2023 Revised:June 25, 2023 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20230427001 |
| KeyWord:isogeometric analysis topology optimization harmonic excitation stabilization scheme material field series expansion model |
| Author | Institution |
| 王培金 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
| 刘宏亮 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 ;大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 张业伟 |
沈阳航空航天大学 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 |
| 雷振增 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 杨迪雄 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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| Abstract: |
| Topology optimization of structures under a considering harmonic excitation has important research significance and engineering application value,especially for the rapidly developing aerospace field.In order to facilitate the extraction and control of geometric features of the optimal design results,while taking into account the calculation accuracy,efficiency and iteration stability of the design,this paper develops an isogeometric optimization method based on isogeometric analysis and material field series expansion model for topology optimization of structures under a harmonic excitation.Due to the characteristics of geometric modeling accuracy and high-order continuity across elements,the precision of response analysis and sensitivity calculation can be ensured without the need of extremely fine meshes.By combining the material field series expansion model,dimensionality reduction technology is empolyed to greatly reduce the number of design parameters,improve the efficiency of design optimization,and obtain an optimal configuration independent of elemental subdivision and with clear geometric boundaries.In order to avoid iteration oscillation and non-convergence which may occur in dynamic topology optimization,the convergence design solution with stable iteration is obtained by using the stabilization scheme.Numerical examples show that the proposed method can effectively avoid appearance of a gray fuzzy region,sawtooth boundary,mesh dependency and checkerboard phenomenon,and can achieve topology optimization of structures under a hamonie excitation with high accuracy and efficiency. |
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