An efficient moving morphable component (MMC)-based approach for multi-resolution topology optimization

Abstract

In the present work, a highly efficient Moving Morphable Component (MMC) based approach for multi-resolution topology optimization is proposed. In this approach, highresolution optimization results can be obtained with much less numbers of degrees of freedoms (DOFs) and design variables since the topology optimization model and the finite element analysis model are totally decoupled in the MMC-based problem formulation. This is achieved by introducing hyper-elements for structural response analysis and adopting a design domain partitioning strategy to preserve the topological complexity of optimized structures. Both two-and three-dimensional numerical results demonstrate that substantial computational efforts can be saved for large-scale topology optimization problems with the use of the proposed approach.

Generalized Geometry Projection: A Unified Approach for Geometric Feature Based Topology Optimization

“…In this way, obviously one increases the chance of having a sampling window Gauss point inside transition region, but this comes at a higher computational cost in terms of both memory and CPU time. -Use a multi-resolution approach [28]. These approaches have also the virtue of filling the transition region with Gauss points.…”

“…In Lei et al [25] machine learning techniques like: support vector regression (SVR) [42] and the K-nearest-neighbors (KNN) [2], were adopted in order to speed up the resolution of the optimization problem, under MMC framework. In Liu et al [28] an e cient strategy is proposed to decouple the finite element mesh discretization from the discretization employed to assemble the sti↵ness matrix on the basis of the geometric configuration. In Sun et al [43] the topology optimization of a 3D multi-body systems considering large deformations and large overall motion is achieved using MMC.…”

Linear and nonlinear topology optimization design with projection‐based ground structure method (P‐GSM)

“…Another merit of the multiresolution strategy is that the design variables are independent of the FE mesh. In recent years, multiresolution scheme is incorporated into MMC to achieve a highly efficient algorithm, which results in a high‐resolution optimization results with a smaller number of design variables . Thus, using the P‐GSM algorithm to describe the design variable field in conjunction with the multiresolution strategy holds great potential in reducing computational cost for finite element analysis (FEA).…”

“…Meanwhile, the other method called moving morphable voids (MMVs) solution framework is also proposed in recent years to achieve explicit topology optimization and geometry control. Based on the MMC or MMV approaches, Guo et al further extended these methods to three‐dimensional problems and further improved this method to solve more complex physical problems such as stress constraint and multiple materials problems. Meanwhile, the MMC‐based method is also extended to solve geometric nonlinear problems, and a scheme is developed to address the disconnection issue in optimization process …”

Topological Design of a Lightweight Sandwich Aircraft Spoiler

“…Recently proposed morphable moving component/void (MMC/MMV) [29,30,31] methods have the ability to seamlessly integrate topology optimization in CAD modeling systems, which can overcome problem (1). For problem (2), numerous methods, including employing higher-order finite elements or refined meshes [32,33,34], mesh adaptive strategies [35,36], and high-resolution techniques [37,38] have been proposed. Note that level-set methods can inherently produce structures with smooth edges [39,40].…”