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Dung beetle optimization for probabilistic force analysis of heliostat support structures
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  • Open access
  • Published: 02 February 2026

Dung beetle optimization for probabilistic force analysis of heliostat support structures

  • Haiyin Luo1,
  • Yu Liang2,
  • Qiwei Xiong3 &
  • …
  • Xuewen Zhang1 

Scientific Reports , Article number:  (2026) Cite this article

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Energy science and technology
  • Engineering
  • Mathematics and computing

Abstract

In tower-concentrated solar power plants, heliostats are typically anchored through freestanding columnar pylon systems across planar terrains. These mirror assemblies sustain significant wind-induced dynamic loads during operation, resulting in critical mechanical responses within their support structures. This study conducts a systematic investigation into the stochastic distribution characteristics of mechanical parameters in heliostat support systems through multi-condition numerical simulations. By developing intelligent optimization algorithm models such as Dung Beetle Optimizer (DBO), we achieve efficient computation of kurtosis and skewness coefficients for force parameters, with model performance rigorously evaluated through key metrics. The operational conditions are classified into Gaussian/non-Gaussian distribution categories based on computational results and established criteria, elucidating the fundamental mechanisms underlying Gaussian and non-Gaussian force characteristics in support structures under specific working conditions. These findings provide theoretical guidance for optimizing wind-resistant structural design frameworks.

Data availability

All data generated or analysed during this study are included in this published article.

Abbreviations

α:

Ground roughness exponent

CFx :

Drag coefficient

CFy :

Side force coefficient

CFz :

Lift coefficient

CMx :

Side moment coefficient

CMy :

Base overturning moment coefficient

CMz :

Azimuth moment coefficient

Csk :

Skewness coefficient

Cku :

kurtosis coefficient

Fx :

Drag force

My :

Base overturning moment force

Fz :

Lift force

NG:

Non-gaussian

G:

Gaussian

DBO:

Dung beetle optimization

BP:

Back propagation

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Funding

Natural Science Foundation of Hunan Province (No. 2024JJ9059), Changsha Municipal Natural Science Foundation(No.kq2208429).China Postdoctoral Science Foundation(No.2024M753068),Scientific Research Fund of Hunan Provincial Education Department(No.23C0364).

Author information

Authors and Affiliations

  1. School of Civil Engineering, Changsha University, Changsha, 410022, Hunan, China

    Haiyin Luo & Xuewen Zhang

  2. School of Civil Engineering, Sun Yat-sen University, Guangzhou, 510275, Guangdong, China

    Yu Liang

  3. Hunan Industrial Equipment Installation Co., Ltd., Changsha, 411104, China

    Qiwei Xiong

Authors
  1. Haiyin Luo
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  2. Yu Liang
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  3. Qiwei Xiong
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  4. Xuewen Zhang
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Contributions

Concept and design: Yu Liang. Drafting of the article: Haiyin Luo. Study supervision: Qiwei Xiong , Xuewen Zhang. All the authors approved the final article.

Corresponding author

Correspondence to Yu Liang.

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The authors declare no competing interests.

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Cite this article

Luo, H., Liang, Y., Xiong, Q. et al. Dung beetle optimization for probabilistic force analysis of heliostat support structures. Sci Rep (2026). https://doi.org/10.1038/s41598-026-38236-w

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  • Received: 11 August 2025

  • Accepted: 29 January 2026

  • Published: 02 February 2026

  • DOI: https://doi.org/10.1038/s41598-026-38236-w

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Keywords

  • Heliostat structure
  • Force characteristics
  • Gaussian distribution
  • Dung beetle optimizer
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