Continuum Structural Layout in Consideration of the Balance of the Safety and the Properties of Structures

Abstract

In the article, a new approach considering structural local failure for topology optimization of continuum structure is proposed. It aims at not only lowering the risk of local failure in the concerned structural regions, but also ensuring a good stiffness of the structure. The local failure may be caused by the structural uncertainties or possible structural fatigue. To this end, a criterion to evaluate the effect of one local failure on the structure is introduced. This criterion is minimized to reduce the probability of structural damage based on an initialized structure whose compliance is optimized. Solid Isotropic with Material Penalization (SIMP) method and Optimality Criteria (OC) method are combined to solve the design problem. The effectiveness of the proposed algorithm is verified by a series of numerical examples. Furthermore, experiments merging with additive manufacturing technique are taken to prove the practical ability of the method in actual engineering.

An adaptive mesh‐adjustment strategy for continuum topology optimization to achieve manufacturable structural layout

“…Topology optimization for continuum structures aims at determining the optimal material distribution to achieve desired structural performances under specific constraints. Since the work of Bendsøe and Kikuchi, topology optimization for continuum structures has been extensively studied and achieved remarkable progress in a wide range of fields . At present, various topology optimization methods, broadly classified into two categories: material distribution method and geometry boundary description method, are available.…”

Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory

“…Since Bendsøe and Kikuchi (1988), a significant part of the advances in topology optimization has been obtained through methodologies based on the compliance minimization problem, whose concepts are well-established (Collet et al, 2017). Some examples of applications using this type of optimization problem are presented in Rozvany (2009), Lopes et al (2015), Shobeiri (2016), and Wang et al (2017). Here, it is used the topology optimization problem for compliance minimization, where the design domain is assumed to be rectangular and discretized in rectangular elements or subvolumes.…”

Numerical and practical experiments for maximally stiff structure based on the topology optimization theory and the FEM

“…2.2 Filtering for the Lagrange function gradient with respect to non-dimensional density It is necessary to apply the filtering technique for the Lagrange function gradient with respect to nondimensional density. The filtering equation shown in (8) is employed in this study.…”

“…1. Although papers related to research on the topology optimization and experiments can be seen [8,9], it is difficult to find research papers Relationship between number of papers and published year on "additive manufacturing" and "topology optimization" by paper search service Scopus.…”