Stiffener layout optimization of plate and shell structures for buckling problem by adaptive growth method

Xiang, Dong; Ding, Xuanming; Li, Guojie; Lewis, Gareth Peter

doi:10.1007/s00158-019-02361-0

Cited by 25 publications

(5 citation statements)

References 41 publications

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“…Li et al [46][47][48] proposed a novel explicit approach to perform topology optimization of stiffened structures via a biologically inspired algorithm and then used it to discover the optimal internal cooling geometries in the heat conduction system. Dong et al [49] used an adaptive growth method to improve the buckling resistance performance of plate/shell structures by optimizing the stiffener pattern. Unlike implicit topology optimization approaches, these natural growth-based algorithms can obtain explicit stiffener layouts rather than block-like material distributions, making the optimized results more conducive to practical applications.…”

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

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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.

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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

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“…Dugre et al (Dugré et al, 2016) utilized this method to design pressurized stiffened panels. Ding and Yamazaki (Ding and Yamazaki, 2004;Dong et al, 2020) developed a stiffener design method inspired by the growth and branching patterns observed in natural trees. Bojczuk and Szteleblak (Bojczuk and Szteleblak, 2008) proposed a heuristic design strategy based on topology derivatives that consider the impact of stiffener shape and position on structural performance.…”

Section: Introductionmentioning

confidence: 99%

A new design method for stiffened plate based on topology optimization with min-max length-scale control

Wang,

Zhang

2023

Front. Mater.

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Stiffened plates are widely used in engineering due to their excellent manufacturing and mechanical properties. This paper introduces a novel method for designing stiffener plates that combines the H-DGTP formulation, robust topology optimization formulation, and maximum length-scale control. In comparison to existing methods, the proposed approach not only provides a clear layout of stiffeners but also optimizes their height. Sensitivity analysis of all design variables is derived for utilization with gradient-based optimizers. The study demonstrates that the implementation of the robust filter approach enables precise control of both structural features and gap widths, effectively avoiding sharp angles. Moreover, as the maximum length approaches the minimum length, the stiffeners assume uniform thickness, which better meets engineering requirements. Numerical examples are presented to validate the effectiveness of the proposed method.

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“…They optimized the layout of the stiffeners of the machine tool column in order to solve the limitation of this algorithm (Li et al, 2014). (Dong et al, 2020) proposed a design method for finding the optimal stiffeners layout on thin-walled plate and shell structures against the buckling by using the adaptive growth method. They mainly aim at the problem that thin-walled plate and shell structures are prone to buckling failure under axial pressure or shear load.…”

Section: Introductionmentioning

confidence: 99%

Stiffness design and multi-objective optimization of machine tool structure based on biological inspiration

Hao

Zhu

Yan

et al. 2022

Journal of Vibration and Control

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This paper proposes a novel method to design the internal stiffeners layout of the supporting parts of a machine tool. This method skillfully adopts the natural growth law of leaf veins. Firstly, the similarity between the growth law of leaf veins and the layout of stiffeners in the supporting parts is dealt with in detail. The mechanical properties of different growth types of leaf veins are compared and analyzed by the finite element simulation. In addition, the optimality of the adaptive growth law of leaf veins is also analyzed. Then, a parameter optimization method of stiffeners layout based on a variable cross-section structure is proposed. Distinct from the traditional design of stiffeners layout, the method proposed in this paper not only adopts the idea of a variable cross-section structure, but also simulates the adaptive growth law of leaf veins through a parametric method. In the process of establishing a meta model, three modeling methods are compared, and the excellent performance of the genetic algorithm and BP neural network (GABPNN) method in meta model accuracy is determined. And a marine predator algorithm is implemented to optimize the meta model. Finally, the method proposed in this paper is applied to the design of the column part of a machine tool, and the effectiveness of the proposed method is verified by simulation and experiments, which provides a good idea for the design of stiffeners layout of the supporting parts of a machine tool.

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Stiffener layout optimization of plate and shell structures for buckling problem by adaptive growth method

Cited by 25 publications

References 41 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

A new design method for stiffened plate based on topology optimization with min-max length-scale control

Stiffness design and multi-objective optimization of machine tool structure based on biological inspiration

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