Stiffener layout optimization of shell structures with B-spline parameterization method

Feng, Shengqi; Zhang, Weihong; Meng, Liang; Zhao, Xu; Chen, Liang

doi:10.1007/s00158-021-02873-8

Cited by 36 publications

(7 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, Zhang et al [35] proposed a novel B-spline-based method for structural topology optimization. Based on this framework, Feng et al [36] effectively utilized B-spline control parameters to characterize the stiffener distribution reinforcing the plate/shell structures. Some other latest investigations conducted on the stiffener optimization of plate structures can be referred to [37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Explicit Topology Optimization Design of Stiffened Plate Structures Based on the Moving Morphable Component (MMC) Method

Jiang¹,

Liu²,

Zhang³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

This paper proposes an explicit method for topology optimization of stiffened plate structures. The present work is devoted to simultaneously optimizing stiffeners' shape, size and layout by seeking the optimal geometry parameters of a series of moving morphable components (MMC). The stiffeners with straight skeletons and the stiffeners with curved skeletons are considered to enhance the modeling and optimization capability of the current approach. All the stiffeners are represented under the Lagrangian-description framework in a fully explicit way, and the adaptive ground structure method, as well as dynamically updated plate/shell elements, is used to obtain optimized designs with more accurate analysis results. Compared with existing works, the proposed approach provides an explicit description of the structure. Thus, a stiffened plate structure with clear stiffener distribution and smooth geometric boundary can be obtained. Several numerical examples provided, including straight and curved stiffeners, hierarchical stiffeners, and a stiffened plate with a cutout, validate the effectiveness and applicability of the proposed approach.

show abstract

Section: Introductionmentioning

confidence: 99%

Explicit Topology Optimization Design of Stiffened Plate Structures Based on the Moving Morphable Component (MMC) Method

Jiang¹,

Liu²,

Zhang³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…The optimal design of free-form, rib-reinforced shell structures is of technologically significant interest in many engineering fields [17][18][19][20][21][22][23]. Attempts have been made to attain the optimized layout of ribs that can maximize the stiffness and strength of the structures [20,21,[23][24][25][26]. In these previous studies, however, the functions of the ribs, such as heat conduction [27] and mass transport, have not been taken into account in the topological optimization of structures.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multi-functional topology optimization ofVictoria cruzianaveins

Zhang

Zhou

Fang

et al. 2022

J. R. Soc. Interface.

View full text Add to dashboard Cite

The growth and development of biological tissues and organs strongly depend on the requirements of their multiple functions. Plant veins yield efficient nutrient transport and withstand various external loads. Victoria cruziana , a tropical species of the Nymphaeaceae family of water lilies, has evolved a network of three-dimensional and rugged veins, which yields a superior load-bearing capacity. However, it remains elusive how biological and mechanical factors affect their unique vein layout. In this paper, we propose a multi-functional and large-scale topology optimization method to investigate the morphomechanics of Victoria cruziana veins, which optimizes both the structural stiffness and nutrient transport efficiency. Our results suggest that increasing the branching order of radial veins improves the efficiency of nutrient delivery, and the gradient variation of circumferential vein sizes significantly contributes to the stiffness of the leaf. In the present method, we also consider the optimization of the wall thickness and the maximum layout distance of circumferential veins. Furthermore, biomimetic leaves are fabricated by using the three-dimensional printing technique to verify our theoretical findings. This work not only gains insights into the morphomechanics of Victoria cruziana veins, but also helps the design of, for example, rib-reinforced shells, slabs and dome skeletons.

show abstract

Stiffener layout optimization of shell structures with B-spline parameterization method

Cited by 36 publications

References 60 publications

Explicit Topology Optimization Design of Stiffened Plate Structures Based on the Moving Morphable Component (MMC) Method

Explicit Topology Optimization Design of Stiffened Plate Structures Based on the Moving Morphable Component (MMC) Method

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

Multi-functional topology optimization ofVictoria cruzianaveins

Contact Info

Product

Resources

About