A generative design method for structural topology optimization via transformable triangular mesh (TTM) algorithm
- PDF / 5,690,449 Bytes
- 25 Pages / 595.276 x 790.866 pts Page_size
- 108 Downloads / 174 Views
RESEARCH PAPER
A generative design method for structural topology optimization via transformable triangular mesh (TTM) algorithm Baotong Li 1 & Wenhao Tang 1 & Senmao Ding 1 & Jun Hong 1 Received: 28 September 2019 / Revised: 11 February 2020 / Accepted: 11 February 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This article presents a way of optimizing the conduction topology for heat-generating structures by means of transformable triangular mesh (TTM) algorithm which is implemented in an explicit and geometrical way. Unlike the traditional optimization approaches, the proposed method capitalizes on the use of a special morphing algorithm to generate optimal topologies from a genus zero surface. In this method, the initial geometry is firstly converted into triangular mesh and stored as a half-edge data structure. Then, the mesh operations (i.e., subdivision, split, and refinement) are employed to activate the geometry to move, split, and deform upon the underlying finite element mesh so that the conduction topology can be achieved by optimizing the positions and orientations of the triangular grids. The unique feature of the mesh operation is the split, which makes the geometries have different number of faces, edges, vertices as the initial one, and therefore different genus number between these geometries. This method renders the optimization process more flexibility. Finally, some examples with verification results are presented to demonstrate that TTM algorithm is capable of proposing solutions having almost the same cooling effectiveness with less computing resources compared with the commonly used density approaches. Keywords Topology optimization . Heat conduction . Transformable triangular mesh (TTM) . Mesh processing
1 Introduction Topology optimization design is an established optimization design technology in the field of structural design. It is a powerful tool in the conceptual design of a product, and is used to find the proper material distribution under the prescribed conditions to achieve optimal structural performance. Since the proposition of the homogenization design method (HDM) (Bendsøe and Kikuchi 1988) in 1988, topology optimization research has received extensive attention. Topology optimization methods can be divided into the following types: (a) density-based method, including the solid isotropic material with penalization (SIMP) method (Rozvany and Bendsee 1995) and the rational approximation of material properties (RAMP) method (Yan et al. 2018); (b) level set method (Wei Responsible Editor: Julián Andrés Norato * Jun Hong [email protected] 1
Key Laboratory of Education Ministry for Modern Design & Rotor-Bearing System, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China
et al. 2018); (c) topological derivative method (de Faria and Lesnic 2015); (d) evolutionary method, including evolutionary structural optimization (ESO) method and the bidirectional ESO method (Huang and Xie 2008); (e) phase field method (August et al. 2015); and (f
Data Loading...
