Concurrent optimization of structural topology and infill properties with a CBF-based level set method

doi:10.1007/s11465-019-0530-5

Frontiers of Mechanical Engineering

2019, Vol. 14

Issue (2): 171-189 https://doi.org/10.1007/s11465-019-0530-5

本期目录

Concurrent optimization of structural topology and infill properties with a CBF-based level set method

Long JIANG¹, Yang GUO², Shikui CHEN¹(

), Peng WEI³, Na LEI⁴, Xianfeng David GU²

¹. Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY 11794, USA
². Department of Computer Science, State University of New York at Stony Brook, Stony Brook, NY 11794, USA
³. State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China
⁴. DUT-RU International School of Information Science & Engineering, Dalian University of Technology, Dalian 116620, China

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Abstract：

In this paper, a parametric level-set-based topology optimization framework is proposed to concurrently optimize the structural topology at the macroscale and the effective infill properties at the micro/meso scale. The concurrent optimization is achieved by a computational framework combining a new parametric level set approach with mathematical programming. Within the proposed framework, both the structural boundary evolution and the effective infill property optimization can be driven by mathematical programming, which is more advantageous compared with the conventional partial differential equation-driven level set approach. Moreover, the proposed approach will be more efficient in handling nonlinear problems with multiple constraints. Instead of using radial basis functions (RBF), in this paper, we propose to construct a new type of cardinal basis functions (CBF) for the level set function parameterization. The proposed CBF parameterization ensures an explicit impose of the lower and upper bounds of the design variables. This overcomes the intrinsic disadvantage of the conventional RBF-based parametric level set method, where the lower and upper bounds of the design variables oftentimes have to be set by trial and error. A variational distance regularization method is utilized in this research to regularize the level set function to be a desired distance-regularized shape. With the distance information embedded in the level set model, the wrapping boundary layer and the interior infill region can be naturally defined. The isotropic infill achieved via the mesoscale topology optimization is conformally fit into the wrapping boundary layer using the shape-preserving conformal mapping method, which leads to a hierarchical physical structure with optimized overall topology and effective infill properties. The proposed method is expected to provide a timely solution to the increasing demand for multiscale and multifunctional structure design.

Key words： concurrent topology optimization parametric level set method cardinal basis function shell-infill structure design conformal mapping

收稿日期: 2018-09-22 出版日期: 2019-04-22

Corresponding Author(s): Shikui CHEN

引用本文:

. [J]. Frontiers of Mechanical Engineering, 2019, 14(2): 171-189.
Long JIANG, Yang GUO, Shikui CHEN, Peng WEI, Na LEI, Xianfeng David GU. Concurrent optimization of structural topology and infill properties with a CBF-based level set method. Front. Mech. Eng., 2019, 14(2): 171-189.

链接本文:

https://academic.hep.com.cn/fme/CN/10.1007/s11465-019-0530-5
https://academic.hep.com.cn/fme/CN/Y2019/V14/I2/171

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