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| 具有主应力线特征的MMC拓扑优化设计方法 |
| MMC topology optimization design with principal stress line characteristics |
| 投稿时间：2025-07-11 修订日期：2025-08-31 |
| DOI： |
| 中文关键词: 主应力线 拓扑优化 移动可变形组件法 组件表征 筋条布局设计 |
| 英文关键词:principal stress lines topology optimization Moving Morphable Components method component representation stiffener layout design |
| 基金项目:国家自然科学基金(12072058,U2341232)资助项目. |
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| 中文摘要: |
| 主应力线具备天然正交性和米歇尔结构相似性等特点,能够表示结构中的载荷传递轨迹和应力变化趋势,常被用于指导结构设计,具备良好的工程实用性与认可度。然而,现有的主应力线布局设计方法因缺乏优化理论指导,导致设计方案未能充分发挥材料性能。针对该问题,本文在移动可变形组件法的基础上进行拓展,通过基于主应力线构造显式组件的拓扑描述函数,将主应力线与移动可变形组件法相结合,实现了具备主应力线特征的拓扑优化设计。通过对经典算例和薄板加筋结构进行优化设计和性能对比,验证了具有主应力线特征的移动可变形组件法在指导主应力线布局方面的有效性和实用性。 |
| 英文摘要: |
| Principal stress lines (PSLs) possess characteristics such as natural orthogonality and similarity to the Michell structure. PSLs can represent the load-transfer trajectories and stress-variation trends within a structure. Consequently, PSLs are frequently utilized to guide structural design, demonstrating good engineering practicality and widespread recognition. Nevertheless, existing methods for the layout design of principal stress lines lack the guidance of optimization theories. As a result, the designed schemes do not always fully exploit the material properties. To address this issue, this paper extends the Moving Morphable Components (MMC) method. By constructing the topological description function of explicit components based on principal stress lines, the paper combines principal stress lines with the MMC method, thereby achieving a topology optimization design featuring principal stress line characteristics. Through the optimization design and performance comparison of classic examples and stiffened thin-plate structures, the effectiveness and practicality of the MMC method featuring principal stress line characteristics in guiding the layout of principal stress lines are verified. |
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