复杂船体结构拓扑优化中最小稳定拓扑板厚的快速确定方法

Rapid determination method of minimum stable topological plate thickness in topology optimization of complex hull structures

  • 摘要:
      目的  船体结构拓扑优化的设计域通常是基于二维板壳单元,而设计域板厚的取值差异又会对体积分数约束值的设定以及稳定拓扑构型的获得带来影响,进而制约拓扑优化方法在船体结构设计领域的实用化,故需要开展相关研究予以解决。
      方法  以VLCC油船货舱内的横向强框架为优化对象,提出一种设定复杂船体结构体积分数约束值的折衷方法及基于单元统计识别构型并确定最小稳定拓扑板厚的方法。
      结果  通过理论分析及相关试算发现,使用该方法可以获得较为可靠的体积分数约束值和设计域最小稳定拓扑板厚。
      结论  所提方法具备有效性和可行性,可为大型油船横向强框架的拓扑优化提供技术支撑,同时还可为其他复杂船体结构的拓扑优化提供参考。

     

    Abstract:
      Objectives  The design domain for the topological optimization of ship structures is usually based on two-dimensional shell elements. However, the thickness difference of the design domain affects the setting of volume fraction constraints and the acquisition of stable topological configuration, restricting the practical application of the topology optimization method in the field of hull structure design. Thus, relevant research needs to be carried out to solve this problem.
      Methods  This paper takes the transverse web frame in the cargo tank of a very large crude oil carrier (VLCC) as the optimization object, and puts forward a compromise method for setting the volume fraction constraint value of the complex hull structure, as well as a method for determining the minimum stable topological plate thickness of the transverse web frame via element statistics.
      Results  Through theoretical analysis and trial calculation, it is found that the volume fraction value and minimum stable topological plate thickness can be obtained more reliably using this method.
      Conclusions  The proposed method possesses validity and feasibility, and is able to provide technical support for the optimization design of the transverse web frames of large oil tankers. It can also provide references for the topology optimization of other complex hull structures.

     

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