Explicit structural topology optimization using moving wide Bezier components with constrained ends

Zhu, Benliang; Wang, Rixin; Wang, Nianfeng; Li, Hao; Zhang, Xianmin; Nishiwaki, Shinji

doi:10.1007/s00158-021-02853-y

Cited by 22 publications

(4 citation statements)

References 58 publications

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“…Recent work by Zhu et al (2021), has introduced wide Bezier components in the MMC framework. Previous use of wide Bezier components for structural optimization was presented by Wang and Yang (2009).…”

Section: Literature Reviewmentioning

confidence: 99%

Generalized Bezier components and successive component refinement using moving morphable components

Shannon

Robinson

Murphy

et al. 2022

Struct Multidisc Optim

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This paper demonstrates developments that introduce generalized Bezier components in the Moving Morphable Components (MMC) optimization framework. Methods of enhancing the parameterization of the components to provide the opportunity for a better optimum, than can be achieved using existing approaches, are also described. The use of control points and Bezier curves for representing structural components provides both additional flexibility in the shape and a parameterization that complies with extrude and swept feature-based templates available in commercial computer-aided design (CAD) packages. Methods of representing these structural components, calculating analytical derivatives, and numerical examples demonstrating their integration in the MMC framework, are presented for a series of author-derived and literature problems. A successive refinement technique demonstrates how the additional flexibility in the structural components enables progressive improvement in the objective function. For the examined problems, increasing the design variables per component (from 5 to 15) resulted in solutions with 6% to 36% reduction in compliance. This improvement was achieved without increasing the number of components in the design space.

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Section: Literature Reviewmentioning

confidence: 99%

Generalized Bezier components and successive component refinement using moving morphable components

Shannon

Robinson

Murphy

et al. 2022

Struct Multidisc Optim

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“…Starting from the 2D rectangular components with straight edges [23], the implementation of linearly varying and quadratically varying crosssectional thickness along the curved centreline has been facilitated to enhance the capability of components in geometric representation [24]. To generate components with smooth boundaries, B-spline curves [25], Bezier curves [26], and non-uniform rational B-spline curves [27] are embedded into the TO formulations.…”

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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“…Besides B-splines curve, Bezier curve is also used for component description. Zhu et al [ 22 ] presented a structural topology optimization method using moving wide Bezier components with constrained ends. The control points of wide Bezier curves are taken as design variables, and in order to form one single connected loadbearing structure, the loading, supporting, and/or some other functional interactions are connected by constraining the ends of wide Bezier curves.…”

Section: Introductionmentioning

confidence: 99%

Moving morphable component (MMC) topology optimization with different void structure scaling factors

Li,

Xu,

Zhang

2024

PLoS ONE

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The explicit topology optimization method based on moving morphable component (MMC) has attracted more and more attention, and components are the basic building blocks of the implementation of MMC method. In the present work, a MMC topology optimization method based on component with void structure is followed with interest. On the basis of analyzing the characteristics of components used by MMC method, the topology description function for component with void structure is presented, where a quantitative scaling factor is introduced without increasing the number of design variables. Taking the minimum flexibility as the optimization objective, an example of short beam is analyzed with different void structure scaling factors. The results show that different scaling factors have a greater impact on the final topology optimization structure, and an ideal topology structure can be obtained with an appropriate scaling factor. Finally, some problems in the optimization process are analyzed and indicate that appropriate mesh density should be chose for component with void structure in order to achieve good optimization results.

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Explicit structural topology optimization using moving wide Bezier components with constrained ends

Cited by 22 publications

References 58 publications

Generalized Bezier components and successive component refinement using moving morphable components

Generalized Bezier components and successive component refinement using moving morphable components

Porous structures inspired by porcupine quill: multiscale design optimization approach

Moving morphable component (MMC) topology optimization with different void structure scaling factors

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