Adaptive Isogeometric Topology Optimization of Shell Structures based on PHT-splines

This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacement, and density are represented by PHT-splines. Leveraging the local refinement capability of PHT-splines, mesh elements...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-12
Main Authors: Wen, Zepeng, Pan, Qiong, Zhai, Xiaoya, Kang, Hongmei, Chen, Falai
Format: Article
Language:English
Subjects:
Degrees of freedom
Density
Iterative methods
Mathematical analysis
Optimization
Shells (structural forms)
Spline functions
Tensors
Topology optimization
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes an Adaptive Isogeometric Topology Optimization framework for shell structures based on PHT-splines (PHT-AITO). In this framework, the design domain, displacement, and density are represented by PHT-splines. Leveraging the local refinement capability of PHT-splines, mesh elements defining the density function are adaptively refined to achieve a suitable resolution at the interface between solid and void regions. This addresses the issue of excessive degrees of freedom resulting from global refinement. The refinement of the mesh elements is driven by their density. During the optimization of the density on a refined mesh, the initial value of the density is inherited from the optimization results on the previous mesh to accelerate the iteration process and maintain the stability of the optimized structure. Numerical experiments on various shell structures have verified the effectiveness of PHT-AITO. Compared with isogeometric topology optimization based on tensor-product splines, PHT-AITO can significantly reduce the degrees of freedom in the optimization problem, thereby improving computational efficiency.
ISSN:2331-8422