A novel numerical method for form-finding analysis of branching structures

Zhao, Zhongwei; Li, Bing; Liu, Haiqing; Sun, Qingwei

doi:10.1007/s40430-017-0710-3

Cited by 15 publications

(7 citation statements)

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“…The configuration of the branching structures drastically changed during form-finding analysis. The effectiveness of the proposed method in the form-finding analysis of branching structures with a planar surface has been previously validated [14]. The internal force of the branching structures with a spherical surface under the action of a given load is shown in Fig.…”

Section: Morphological Optimization Of Branching Structuresmentioning

confidence: 92%

“…Zhao et al [14,15] proposed and adopted the doubleelement method to simulate the components of branching structures. The behavior of the double-element numerical model is similar to that of the thread model [17].…”

Section: Workflow Of Form-finding Analysismentioning

confidence: 99%

“…Only the horizontal coordinate was changed during form-finding analysis. Additional information regarding form-finding analysis has been provided in a previous work [14]. The proposed iterative program (Fig.…”

Section: Workflow Of Form-finding Analysismentioning

confidence: 99%

“…This method, however, is time-consuming, tedious, and may be inapplicable for complex projects. The authors of this paper have conducted investigations on the topology establishment, form finding, and mechanical optimization of branching structures on the basis of a proposed numerical method [14,15].…”

Section: Introductionmentioning

confidence: 99%

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Topology establishment, form finding, and mechanical optimization of branching structures

Zhao

Liu

2018

J Braz. Soc. Mech. Sci. Eng.

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Branching structures have begun to attract the attention of engineering designers because of their novel appearances and high structural efficiency. The establishment of topology, the analysis of form, and the optimization of cross-sectional area combination should first be addressed in the design of branching structures. The method presented here can be adopted for the systematic design, analysis, and optimization of branching structures. This work was conducted on the basis of the general finite element code and can be easily mastered by engineering designers without the burden of tedious programming work.

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Section: Morphological Optimization Of Branching Structuresmentioning

confidence: 92%

Section: Workflow Of Form-finding Analysismentioning

confidence: 99%

Section: Workflow Of Form-finding Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Topology establishment, form finding, and mechanical optimization of branching structures

Zhao

Liu

2018

J Braz. Soc. Mech. Sci. Eng.

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“…Eguchi et al proposed a design method to generate "natural" shapes of branching structures with curved branches [11,12]. Zhao et al proposed the double element method and applied it to the shape-finding analysis of branching structure [13]. In addition to the above-mentioned numerical methods for branching structure, other methods that can simulate the physical model experiment also can be used to determine the reasonable shape of branching structure, such as dynamic relaxation method [14,15], vector form intrinsic finite element method [16][17][18], and generalized inverse method [10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

A Form-Finding Method for Branching Structures Based on Dynamic Relaxation

Chen

Gong

et al. 2021

Applied Sciences

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Branching structure is often used as a supporting structure of the grid shell due to its geometrical and force-transferring features, and the rationality of its shape is very important. The “physical” and “numerical” hanging models can be used for the joint form-finding of the branching structure and free-form grid shell. However, slack elements may exist in the equilibrium model which corresponds to the inefficient members in the form-found branching structure. To solve this problem, a form-finding method of branching structure based on dynamic relaxation is proposed in this study. The proposed method clusters the elements of the branching model and equalizes the axial forces of the elements in the same cluster, in other words, there are no slack elements in the equilibrium branching model. This method overcomes the defect that the equilibrium branching model may have slack elements and needs many manual adjustments during the procedure of determining the rational shape of a branching structure, and effectively prevents the inefficient members existing in the form-found structure. Numerical examples are provided to demonstrate the characteristics of the proposed method and its effectiveness is verified as well.

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The strong coupled form-finding and optimization algorithm for optimization of reticulated structures

Zhao

Qin

et al. 2020

Advances in Engineering Software

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A novel numerical method for form-finding analysis of branching structures

Cited by 15 publications

References 1 publication

Topology establishment, form finding, and mechanical optimization of branching structures

Topology establishment, form finding, and mechanical optimization of branching structures

A Form-Finding Method for Branching Structures Based on Dynamic Relaxation

The strong coupled form-finding and optimization algorithm for optimization of reticulated structures

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