MATLAB implementations for 3D geometrically nonlinear topology optimization: 230-line code for SIMP method and 280-line code for MMB method

Zhao, Yonggang; Guo, Guikai; Zuo, Wenjie

doi:10.1007/s00158-023-03590-0

Cited by 2 publications

(1 citation statement)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…While TO remains fundamentally linear in most current methods, nonlinear TO endeavours have recently gained momentum. This is the case with recent codes in FreeFEM [47] by Zhu et al and Matlb by Zhao et al [48]. Moreover, a few recent developments, such as Sun and Lueth's three-dimensional TO method for flexure joints [49], geometrically nonlinear BESO [50], progress in specific issues of nonlinear TO, such as the moving morphable components method [51], and the employment of the Sigmoid function for adaptive moving material [52], moving Wide-Beìzier components [53] or positional finite elements [54] have paved the way for broader use of nonlinear TO in design.…”

Section: Related Workmentioning

confidence: 68%

Topology Optimisation of Structural Steel with Non-Penalisation SEMDOT: Optimisation, Physical Nonlinear Analysis, and Benchmarking

Ribeiro,

Fu,

Bernardo

et al. 2023

Applied Sciences

View full text Add to dashboard Cite

In this work, Non-penalisation Smooth-Edged Material Distribution for Optimising Topology (np-SEMDOT) algorithm was developed as an alternative to well-established Topology Optimisation (TO) methods based on the solid/void approach. Its novelty lies in its smoother edges and enhanced manufacturability, but it requires validation in a real case study rather than using simplified benchmark problems. To such an end, a Sheikh-Ibrahim steel girder joint’s tension cover plate was optimised with np-SEMDOT, following a methodology designed to ensure compliance with the European design standards. The optimisation was assessed with Physical Nonlinear Finite Element Analyses (PhNLFEA), after recent findings that topologically optimised steel construction joint parts were not accurately modelled with linear analyses to ensure the required highly nonlinear ultimate behaviour. The results prove, on the one hand, that the quality of np-SEMDOT solutions strongly depends on the chosen optimisation parameters, and on the other hand, that the optimal np-SEMDOT solution can equalise the ultimate capacity and can slightly outperform the ultimate displacement of a benchmarking solution using a Solid Isotropic Material with Penalisation (SIMP)-based approach. It can be concluded that np-SEMDOT does not fall short of the prevalent methods. These findings highlight the novelty in this work by validating the use of np-SEMDOT for professional applications.

show abstract