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| 基于拓扑优化的曲面薄壁结构加筋布局与高度协同优化设计方法 |
| Topology optimization based method for simultaneous optimal design of stiffener’s layout and heights of curved thin-wall stiffened structures |
| 投稿时间：2024-02-23 修订日期：2024-03-23 |
| DOI： |
| 中文关键词: 加筋设计 薄壁结构 拓扑优化 协同优化设计 曲面参数化 |
| 英文关键词:stiffener design thin-wall structures topology optimization simultaneous optimal design surface parameterization |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 中文摘要: |
| 本文研究建立了基于拓扑优化的曲面薄壁结构加筋布局和加筋高度协同优化设计方法。借助NURBS技术,将复杂空间曲面参数化,建立曲面薄壁从三维表面到其参数域的映射关系；在参数平面内定义设计变量以描述加筋的有无,采用基于Heaviside函数的铸造约束定向增长拓扑参数化方法,实现加筋的布局和高度的协同描述,以结构柔顺度为目标建立可实现加筋布局和加筋高度协同优化的拓扑优化模型。通过典型算例已验证方法的有效性。数值结果表明,通过使用这种显式参数化方法,可以在曲面薄壁结构上获得高度可变的清晰加筋布局。 |
| 英文摘要: |
| In this paper, the topology optimization based method for simultaneous optimal design of stiffener’s layout and heights of curved thin-wall stiffened structures is completed. Using NURBS technology, the complex spatial curved surface is parameterized, and the mapping relationship from the three-dimensional surface to the parameter domain of the curved surface thin-wall structure is established. Design variables are defined in the parametric plane to describe the presence or absence of stiffeners, the topology parameterization method of casting constraint directional growth based on Heaviside function was adopted to achieve the collaborative description of layout and height, the topology optimization model which can realize the simultaneous optimization of stiffener layout and stiffener height is established with the objective of structural compliance. The effectiveness of the method has been verified by examples. Numerical results show that a height variable stiffened layout can be obtained clearly by using this explicit parameterization method. |
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