Hollow structural topology optimization to improve manufacturability using three-dimensional moving morphable bars

Zhao, Yonggang; Hoang, Van-Nam; Jang, Gang-Won; Zuo, Wenjie

doi:10.1016/j.advengsoft.2020.102955

Cited by 15 publications

(6 citation statements)

References 54 publications

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“…Wang et al [101] then improved the MMB method and introduced an optimization model for integrated layout design of multi-component systems composed of multiphase materials. Zhao et al [102] provided a basic 3D Matlab code (MMB3D) for solid MMB-based TO, which has been illustrated in detail in this work, and also expanded the code to be suitable for hollow MMBs. Wang et al [103] proposed a new TO method based on the MMB framework for the problem of embedding variable-size movable holes into the design domain and realizing multi-material optimization.…”

Section: Mmb-based Tomentioning

confidence: 99%

Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

Wang¹,

Li²,

Long³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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Topology optimization (TO), a numerical technique to nd the optimal material layout with a given design domain, has attracted interest from researchers in the eld of structural optimization in recent years. For beginners, opensource codes are undoubtedly the best alternative to learning TO, which can elaborate the implementation of a method in detail and easily engage more people to employ and extend the method. In this paper, we present a summary of various open-source codes and related literature on TO methods, including solid isotropic material with penalization (SIMP), evolutionary method, level set method (LSM), moving morphable components/voids (MMC/MMV) methods, multiscale topology optimization method, etc. Simultaneously, we classify the codes into ve levels, from easy to di cult, depending on their di culty, so that beginners can get started and understand the form of code implementation more quickly.

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Section: Mmb-based Tomentioning

confidence: 99%

Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

Wang¹,

Li²,

Long³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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“…Taking advantage of the explicit representation of geometry components, Bai and Zuo (2020) realized the topology optimization of 3D hollow structures via the MMC method, where the hollow components are represented by combining the topology description functions of internal and external components. Recently, Zhao et al (2021) developed a MATLAB code using MMB to conduct the topology optimization of structures made of 3D hollow bars. In this approach, the geometrical features of the solid bars are first projected onto a fixed grid, where the density of each element can be obtained by a smooth Heaviside approximation of the ( 8)…”

Section: Geometric Component Approachesmentioning

confidence: 99%

“…3. As the first category, topology optimization approaches are further categorized into density-based methods (Bendsøe 1989;Zhou and Rozvany 1991;Bendsøe and Sigmund 1999;Xie and Steven 1993), level-set (Osher and Sethian 1988;Sethian 1999;Allaire et al 2002;Wang et al 2003) and other differential equation-driven approaches (Eschenauer et al 1994;Sokolowski and Zochowski 1999;Wallin et al 2012;Wang and Zhou 2004;Burger and Stainko 2006), and geometric component approaches (Bai and Zuo 2020;Zhao et al 2021;Zhang et al 2016b). In the density-based methods, the optimization is established based on elements or nodes.…”

Section: Introductionmentioning

confidence: 99%

“…The level-set and other differential equation-driven approaches include the classical level-set methods, which use the level-set function to implicitly describe the boundary of different phases, and other methods making use of various differential equations such as reaction-diffusion-based approaches and topological derivative approaches. The geometry component approaches include the method employing negative masks, geometry projection (Zhang et al 2016a), and MMC and moving morphable bars (MMB) methods (Guo et al 2014;Zhang et al 2016b;Zhao et al 2021). For sizing optimization, reviewed articles are further categorized into ground structure method and others.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A comprehensive review of educational articles on structural and multidisciplinary optimization

Wang

Zhao

Zhou

et al. 2021

Struct Multidisc Optim

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Ever since the publication of the 99-line topology optimization MATLAB code (top99) by Sigmund in 2001, educational articles have emerged as a popular category of contributions within the structural and multidisciplinary optimization (SMO) community. The number of educational papers in the field of SMO has been growing rapidly in recent years. Some educational contributions have made a tremendous impact on both research and education. For example, top99 (Sigmund in Struct Multidisc Optim 21(2):120-127, 2001) has been downloaded over 13,000 times and cited over 2000 times in Google Scholar. In this paper, we attempt to provide a systematic and comprehensive review of educational articles and codes in SMO, including topology, sizing, and shape optimization and building blocks. We first assess the papers according to the adopted methods, which include density-based, level-set, ground structure, and more. We then provide comparisons and evaluations on the codes from several key aspects, including techniques, efficiency, usability, readability, environment, and compatibility. In addition, we conduct numerical experiments on the reviewed codes using the benchmark cantilever beam example to provide feedback on the overall user experience. With a systematic review and comparison, this paper aims to offer insights on the educational values and practicality for employing these codes. We try to provide not only guidance for beginners to approach various optimization methods, but also a dictionary to direct readers to effectively target the relevant codes and building blocks based on their demands. Finally, based on the findings in this review paper, we provide some perspectives and recommendations for future educational contributions.

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“…For implicit level-set TO approaches [31][32][33], the solid shell is implemented by setting up a constant offset value to the structure boundary, where the infillings are composed of multi-material or truss-based connectable lattices. MMC-based TO approaches can tackle the varying thickness requirement by explicitly manipulating the thickness of each component both in 2D [28,31] and 3D [34][35][36][37] problems. For the design of infillings, the truss-based lattices are composed of bar components at the micro level in the adaptive component-based approach proposed by Hoang et al [28].…”

Section: Introductionmentioning

confidence: 99%

Porous structures inspired by porcupine quill: multiscale design optimization approach

Lan,

Fox,

Tran

2024

Bioinspir. Biomim.

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This paper presents a novel approach for designing a fail-safe bending-resistant structure from the combination of explicit discrete component-based topology optimization and the porcupine quill-inspired features. To achieve fail-safe functionalities under classical topology optimization formulations, the method involves constructing discrete components at various scales to imitate the quill's foam-like characteristics. The components are iteratively updated, and the optimization process allows for the grading of quill-inspired features while achieving optimal structural compliance under bending loads. The proposed approach is demonstrated to be effective through the resolution of Messershmitt-Bolkow-Blohm (MBB) beam designs, parameterized studies of geometric parameters, and numerical validation of long-span and short-span quill-inspired beam designs. By examining the von Mises stress distribution, the study highlights the mitigation of material yielding brought by the geometric features of porcupine quills, leading to the potential theory support for the fail-safe capability. The optimized MBB beams are manufactured using the material extrusion (MEX) technique, and three-point bending tests are conducted to explore the failure mitigation capability of the quill-inspired beam under large deformation. Consequently, the study concludes that the proposed quill-inspired component-based topology optimization approach can design a fail-safe structure according to the improved energy absorption as well as increased deformation after reaching 75% peak load.

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Hollow structural topology optimization to improve manufacturability using three-dimensional moving morphable bars

Cited by 15 publications

References 54 publications

Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

A comprehensive review of educational articles on structural and multidisciplinary optimization

Porous structures inspired by porcupine quill: multiscale design optimization approach

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