王存福, 赵敏, 葛彤. 水下耐压结构拓扑优化设计方法探究[J]. 工程力学, 2015, 32(1): 247-256. DOI: 10.6052/j.issn.1000-4750.2013.07.0705
引用本文: 王存福, 赵敏, 葛彤. 水下耐压结构拓扑优化设计方法探究[J]. 工程力学, 2015, 32(1): 247-256. DOI: 10.6052/j.issn.1000-4750.2013.07.0705
WANG Cun-fu, ZHAO Min, GE Tong. STUDY ON THE TOPOLOGY OPTIMIZATION DESIGN OF UNDERWATER PRESSURE STRUCTURE[J]. Engineering Mechanics, 2015, 32(1): 247-256. DOI: 10.6052/j.issn.1000-4750.2013.07.0705
Citation: WANG Cun-fu, ZHAO Min, GE Tong. STUDY ON THE TOPOLOGY OPTIMIZATION DESIGN OF UNDERWATER PRESSURE STRUCTURE[J]. Engineering Mechanics, 2015, 32(1): 247-256. DOI: 10.6052/j.issn.1000-4750.2013.07.0705

水下耐压结构拓扑优化设计方法探究

STUDY ON THE TOPOLOGY OPTIMIZATION DESIGN OF UNDERWATER PRESSURE STRUCTURE

  • 摘要: 探究了拓扑优化设计方法在水下耐压结构设计中的应用。与固定载荷作用下结构的优化设计相比,此类问题需要正确地确定压力作用面。在拓扑优化过程中,利用变密度法得到的中间结构拓扑实际上可以看成是灰度图。基于此,提出了基于图像分割技术的压力加载面搜索方法,并利用距离正规化水平集方法(DRLSE)检测图像边界。利用数值算例验证了方法的有效性,并研究了静水压力作用下结构的拓扑优化设计问题。在给定材料约束的前提下,研究了不同边界条件下耐压壳体的最小柔顺度及最优结构拓扑形式。优化结果说明了该方法在多球交接耐压壳结构形式优化设计及复杂边界条件下耐压结构新形式探索中的工程应用价值。

     

    Abstract: The paper studies the application of topology optimization in the design of an underwater pressure structure. Compared to the optimization design of a structure under fixed loads, this kind of problem needs to properly identify the pressure loading surface. During the optimization process, the intermediate topologies obtained by using an SIMP model can be actually treated as gray scale images. For this reason, the paper proposes a new material boundary identification scheme based on image segmentation technique, and the distance-regularized level-set evolution (DRLSE) method is used to detect the image edge. Numerical examples are presented to show the validity of the proposed scheme, and the topology optimization of the structure under hydrostatic water pressure is studied. For a given material volume constraint, the minimization of structural compliance and the optimal topology of the pressure hull under different boundary conditions are investigated. The optimized solutions highlight the engineering application value of the method in the optimized design for the form of multiple intersecting spherical pressure hulls and the exploration of the new shape of underwater pressure structures under complicate boundary conditions.

     

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