A simple and compact Python code for complex 3D topology optimization

• Published in: Advances in engineering software (1992) Vol. 85; pp. 1 - 11
• Main Authors: Zuo, Zhi Hao, Xie, Yi Min
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.07.2015
• Subjects: Abaqus; BESO; Computer simulation; Design engineering; Finite element method; Large deflection; Mathematical models; NumPy; Optimization; Python; Three dimensional; Topology optimization; BESO; Topology optimization; Abaqus; Large deflection; NumPy; Python
• ISSN: 0965-9978
• DOI: 10.1016/j.advengsoft.2015.02.006

This paper presents a 100-line Python code for general 3D topology optimization. The code adopts the Abaqus Scripting Interface that provides convenient access to advanced finite element analysis (FEA). It is developed for the compliance minimization with a volume constraint using the Bi-directional Evolutionary Structural Optimization (BESO) method. The source code is composed of a main program controlling the iterative procedure and five independent functions realizing input model preparation, FEA, mesh-independent filter and BESO algorithm. The code reads the initial design from a model database (.cae file) that can be of arbitrary 3D geometries generated in Abaqus/CAE or converted from various widely used CAD modelling packages. This well-structured code can be conveniently extended to various other topology optimization problems. As examples of easy modifications to the code, extensions to multiple load cases and nonlinearities are presented. This code is useful for researchers in the topology optimization field and for practicing engineers seeking automated conceptual design tools. With further extensions, the code could solve sophisticated 3D conceptual design problems in structural engineering, mechanical engineering and architecture practice. The complete code is given in the appendix section and can also be downloaded from the website: www.rmit.edu.au/research/cism/.