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| 面向含外表面异质层的结构构型设计的拓扑优化方法 |
| Topology optimization method for structures with heterogeneous outer surface layers |
| 投稿时间：2023-06-18 修订日期：2023-07-20 |
| DOI： |
| 中文关键词: 含异质表面层的结构 拓扑优化 表面层识别与描述 虚拟温度法 |
| 英文关键词:Structures with heterogeneous surface layer Topology optimization Surface layer identification and description Virtual temperature method |
| 基金项目:国家自然科学基金(12272076,11821202)；国家重点实验室专项经费(S22102)资助项目. |
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| 中文摘要: |
| 严苛的服役环境要求异质表面层结构在满足特定功能的同时,兼具轻量化的特性。这意味着结构的外表面不能仅仅作为功能层使用,还需要参与承载,结构构型设计时需要考虑外表面异质层的影响。针对该需求,本文研究建立了一种考虑异质层影响的含外表面异质层结构的拓扑优化方法。首先,采用基于腐蚀算法的结构表面层建模技术,通过光滑过滤和离散映射两个过程构建了异质表面层结构的识别和描述模型。其次,采用非线性虚温度法识别了结构中的开放/封闭孔洞,并基于此区分暴露于工作环境中的结构外表面层及附着于封闭孔洞的结构内表面层。最后,建立了含外表面异质层结构的拓扑优化模型,并推导了目标函数关于设计变量的敏度信息。几个数值算例验证了所提出方法的有效性。 |
| 英文摘要: |
| The harsh service environment requires the heterogeneous surface layer structure to meet the specific function while exhibiting lightweight characteristics. In other words, the outer surface of the structure can not only be used as a functional layer. Still, it must also be involved in load transfer, and the outer heterogeneous surface layer"s influence should be considered when designing the structure. Based on this, this paper proposes a topology optimization method for structures with heterogeneous outer surface layers. Firstly, a structural surface layer modeling technique based on an erosion algorithm was used to construct an equivalent model of the heterogeneous surface layer structure through smooth filtering and discrete projecting. Second, the open/closed holes in the structure were identified by the nonlinear virtual temperature method, and based on this, the outer surface layer of the structure exposed to the working environment and the inner surface layer of the structure attached to the enclosed holes were distinguished. Finally, a topology optimization model for structures with heterogeneous outer surface layers was developed, and the sensitivity information of the objective function concerning the design variables was derived. Several numerical examples verify the effectiveness of the proposed method. |
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