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Lightweight design of hinge beam based on Kriging agent model

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Abstract

This paper presents an optimization method based on the Kriging and multi-objective genetic algorithm. First, taking the hinged beam structure of the cubic diamond press as the design object, the optimization design mathematical model was established with the mass as the objective function, the stress and displacement peak as the constraint conditions. Second, in combination with SolidWorks and ANSYS Workbench, parametric modeling analysis was conducted to obtain a large number of sample points sparing less time, and the agent model constructed by Kriging was trained and verified. Finally, taking advantage of global search of the multi-objective genetic algorithm, a lightweight design was realized and the mass of the hinge beam structure was effectively reduced, which would be a guiding significance for the lightweight design of other mechanical parts.

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Abbreviations

π :

Correlation coefficient

d i :

The ranking difference of the two variables

E :

Elastic modulus

ρ :

Poisson’s ratio

μ s :

Yield strength

δ :

Allowable displacement

\({\hat y}\) :

Predicted response value

y i :

Actual response value

\({\overline y _i}\) :

Average value of the actual response value

R ij :

The correlation function matrix

\({\hat \mu }\) :

Predicted value

\({{\hat \sigma }^2}\) :

Model prediction variance

STD :

Standard deviation of the test sample set

R 2 :

Coefficient of determination

RMSE :

The root mean square error

RMAE :

The relative maximum absolute error

RMAE :

The relative mean absolute error

i d :

The crowding degree of the individuals

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Acknowledgments

This work was partly supported by the National Natural Science Foundation of China (11602229, and 52075500), by Key Scientific Project of Henan Province (211110220200), and by Key Scientific Research Projects of Institutions of Higher Learning in (21A460029, and 21A460030).

Author information

Authors and Affiliations

  1. Henan Key Laboratory of Mechanical Equipment Intelligent Manufacturing, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, China

    Guizhong Xie, Shixin Zhang, Liangwen Wang, Xiaoyun Gong, Tao Wang & Zeheng Zhi

  2. Henan Huanghe Whirlwind Co. LTD., Changge, Henan, Xuchang, 461500, China

    Shuguang Wang & Zhiqiang Chen

Authors
  1. Guizhong Xie
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  2. Shixin Zhang
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  3. Liangwen Wang
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  4. Xiaoyun Gong
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  5. Tao Wang
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  6. Shuguang Wang
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  7. Zhiqiang Chen
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  8. Zeheng Zhi
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Corresponding authors

Correspondence to Shixin Zhang or Liangwen Wang.

Additional information

Shixin Zhang received his B.S. in Mechanical Design and Automation from Zhengzhou University of Light Technology, and now is a graduate student there, majoring in mechanical structure optimization design.

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Xie, G., Zhang, S., Wang, L. et al. Lightweight design of hinge beam based on Kriging agent model. J Mech Sci Technol 36, 3585–3595 (2022). https://doi.org/10.1007/s12206-022-0634-4

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  • DOI: https://doi.org/10.1007/s12206-022-0634-4

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