论文标题
B-Spline空间中一种新型的基于离散伴随的级别设置拓扑优化方法
A Novel Discrete Adjoint-based Level Set Topology Optimization Method in B-spline Space
论文作者
论文摘要
本文提出了一种新的计算方案，用于使用离散伴随方法在级别集方法中对速度场进行灵敏度分析。速度字段在b-spline空间中表示，并且伴随方程是根据离散的管理方程式构建的。这项工作的关键贡献是证明了级别集方法中的速度字段可以完全从离散的伴随方法获得。这消除了对形状灵敏度分析的需求，这是在标准水平集方法中通常使用的。结果证明了该方法在产生压力和线性屈曲问题的优化结果方面的有效性。总体而言，所提出的方法有可能简化解决级别集合方法的拓扑优化问题的方式，并对广泛的工程应用程序的设计具有重要意义。
This paper presents a novel computational scheme for sensitivity analysis of the velocity field in the level set method using the discrete adjoint method. The velocity field is represented in B-spline space, and the adjoint equations are constructed based on the discretized governing equations. The key contribution of this work is the demonstration that the velocity field in the level set method can be entirely obtained from the discrete adjoint method. This eliminates the need for shape sensitivity analysis, which is commonly used in standard level set methods. The results demonstrate the effectiveness of the approach in producing optimized results for stress and linearized buckling problems. Overall, the proposed method has the potential to simplify the way in which topology optimization problems using level set methods are solved, and has significant implications for the design of a broad range of engineering applications.
