Ấn phẩm:
Proportional topology optimization algorithm with virtual elements for multi-material problems considering mass and cost constraints
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This paper presents an extension of the Proportional Topology Optimization (PTO) with virtual elements for multi-material problems with mass and cost constraints. In particular, the linear virtual element method (VEM) is constructed on unstructured polygonal meshes. The linear VEM is desirable in the sense that numerical integration is not explicitly required, signifiantly reducing the computational effort. Furthermore, the unstructured polygonal mesh naturally eliminates the issue of one-node connections encountered by the usual quadrilateral mesh. A feature of PTO is that it does not require sensitivity information, i.e., the derivative of the objective function with respect to design variables. Instead, the amount of material distributed into each element is determined proportionally to the contribution of that element to the objective function. For multi-material problems, the Ordered Solid Isotropic Material with Penalization (Ordered SIMP) technique is integrated into the PTO framework. Compared to other techniques for problems that involve multiple materials, Ordered SIMP has the advantage that computational cost does not depend on the number of materials. Furthermore, for the fist time, the PTO approach is extended to consider two types of constraints: mass and cost simultaneously. The feasibility and effiiency of the proposed method are demonstrated via several benchmark examples and comparisons with the existing approach.
Mô tả
Vietnam Journal of Mechanics, Vol. 45, No. 4
Tác giả
Tran, Minh Tuan
Nguyen, Minh Ngoc
Người hướng dẫn
Nơi xuất bản
Nhà xuất bản
Viện Cơ học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Năm xuất bản
2023-12
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Từ khóa chủ đề
Linear virtual element method , Proportional topology optimization , Multi-material , Ordered SIMP