Combined parameterization of material distribution and surface mesh for stiffener layout optimization of complex surfaces

Zhang, Weihong; Feng, Shengqi

doi:10.1007/s00158-022-03191-3

Cited by 19 publications

(6 citation statements)

References 29 publications

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“…As shown in Fig. 6 , Z. Kang 45 , O. Sigmund 46 , W. Zhang 47 , W. Zhang 48 are authors with relatively bigger node, indicating that they have published more papers. Through analysis, the information of the top ten scholars with high publication in the field of structural topology optimization in the WOS literatures was obtained, which is shown in Table 8 .…”

Section: Author Co-cited Author and Co-authors’ Institutions Analysismentioning

confidence: 97%

Visualization analysis of research hotspots on structural topology optimization based on CiteSpace

Zhong,

Jiang,

Yang

et al. 2023

Sci Rep

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Structural topology optimization has gained widespread attention due to more possibilities of innovative structural design. The current research focus/hotspots, application areas, main research scholars, institutions and the countries involved in structural topology optimization are visually presented through clustering and visual analysis based on CiteSpace. The four metric dimensions of the literatures in this paper are as follows: annual quantity of papers and core countries, core authors and co-authors’ institutions, hotspots and burst terms, and the highly co-cited papers. The results show the research hotspots in this field are concentrated on keywords such as "level set method", "sensitivity analysis", "homogenization", "genetic algorithm", etc. Regarding the research frontier, “moving morphable component (MMC)”, “additive manufacturing (AM)” and “deep learning” are hot topics. In addition, Y. Sui, Z. Kang and O. Sigmund, etc. have high publications. M. Bendsøe and O. Sigmund have high citations. Dalian University of Technology, Technical University of Denmark, etc. are prominent institutions. Moreover, China accounts for more than 34% in the terms of original WOS literatures following by the USA and Australia. This paper could identify structural topology optimization development patterns for the scholars concerned with this field, especially novices, to quickly focus and track the research priorities.

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Section: Author Co-cited Author and Co-authors’ Institutions Analysismentioning

confidence: 97%

Visualization analysis of research hotspots on structural topology optimization based on CiteSpace

Zhong,

Jiang,

Yang

et al. 2023

Sci Rep

View full text Add to dashboard Cite

show abstract

“…With regard to interfacial patterns, topology optimization has been implemented for stiffness and multi-material structures [25][26][27][28][29][30][31], layouts of shell structures [32][33][34][35][36][37][38], electrode patterns of electroosmosis [21], fluid-structure and fluidparticle interaction [39][40][41], energy absorption [42], cohesion [43], actuation [44] and wettability control [45][46][47], etc. ; topology optimization approaches implemented on 2-manifolds have also been developed with applications in elasticity, wettability control, heat transfer and electromagnetics [48][49][50]; and the fiber bundle topology optimization approach has been developed for wettability control at fluid/solid interfaces [47]; recently, topology optimization of surface flows has extended the design space of fluidic structures onto the 2-manifolds [8].…”

Section: Introductionmentioning

confidence: 99%

Fiber Bundle Topology Optimization for Surface Flows

Deng,

Zhang,

Zhu

et al. 2024

Chin. J. Mech. Eng.

Self Cite

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This paper presents a topology optimization approach for the surface flows on variable design domains. Via this approach, the matching between the pattern of a surface flow and the 2-manifold used to define the pattern can be optimized, where the 2-manifold is implicitly defined on another fixed 2-manifold named as the base manifold. The fiber bundle topology optimization approach is developed based on the description of the topological structure of the surface flow by using the differential geometry concept of the fiber bundle. The material distribution method is used to achieve the evolution of the pattern of the surface flow. The evolution of the implicit 2-manifold is realized via a homeomorphous map. The design variable of the pattern of the surface flow and that of the implicit 2-manifold are regularized by two sequentially implemented surface-PDE filters. The two surface-PDE filters are coupled, because they are defined on the implicit 2-manifold and base manifold, respectively. The surface Navier-Stokes equations, defined on the implicit 2-manifold, are used to describe the surface flow. The fiber bundle topology optimization problem is analyzed using the continuous adjoint method implemented on the first-order Sobolev space. Several numerical examples have been provided to demonstrate this approach, where the combination of the viscous dissipation and pressure drop is used as the design objective.

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“…Tian et al [32] and Li et al [33] developed a novel mesh deformation method for data-driven modeling of stiffened curved shells based on RBF neural network machine learning methods and presented an optimization framework for stiffened curved shells. Zhang et al [34]- [35] proposed an effective B-spline parameterization method for the stiffener layout optimization of shell structures and extended it to handle stiffener layout optimization of thin-walled structures with complex surfaces using mesh parameterization. It can be concluded that the modeling and optimization difficulties of stiffeners on complex curved surfaces can be reduced by the projection relation between the flat surface and the curved surface.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of non-uniform curved grid-stiffened shell with different stiffener patterns

Yu,

Xiaoang,

Yan

et al. 2023

Preprint

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This paper presents a non-uniform curved grid-stiffened shell design method aiming to enhance structural performance using various stiffener patterns, allowing simultaneous optimization of stiffener thickness and stiffener layout. Firstly, the grid-stiffened cell description function is defined using quadratic polynomial functions, comprising the orthogrid, the triangle grid, the rotated triangle grid and the Kagome grid. Then, the non-uniform stiffener layout description function is established using the sawtooth function, while a filter function is employed to ensure the smooth and continuous of the stiffeners. Moreover, the analytical sensitivity is thoroughly derived, and the optimization problem is formulated. Finally, the effectiveness of the proposed method is demonstrated through three representative numerical examples: the cantilever beam, the special-shaped plate and the S-shape shell. The study concludes that the proposed method can optimize arbitrary flat plates by embedding the design domain into the background grid. Additionally, the proposed method can be extended to perform stiffener design on complex surfaces using mesh projection technology. Optimization results indicate that the non-uniform curved grid-stiffened shell design exhibits superior structural performance compared to the uniform grid-stiffened shell design.

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Combined parameterization of material distribution and surface mesh for stiffener layout optimization of complex surfaces

Cited by 19 publications

References 29 publications

Visualization analysis of research hotspots on structural topology optimization based on CiteSpace

Visualization analysis of research hotspots on structural topology optimization based on CiteSpace

Fiber Bundle Topology Optimization for Surface Flows

Optimal design of non-uniform curved grid-stiffened shell with different stiffener patterns

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