Optimization Design of Holding Poles Based on the Response Surface Methodology and the Improved Arithmetic Optimization Algorithm

TAO Ran; ZHOU Huanlin; MENG Zeng; YANG Xiaomeng

doi:10.21656/1000-0887.420318

Volume 43 Issue 10

Oct. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(10): 1113-1122

TAO Ran, ZHOU Huanlin, MENG Zeng, YANG Xiaomeng. Optimization Design of Holding Poles Based on the Response Surface Methodology and the Improved Arithmetic Optimization Algorithm[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1113-1122. doi: 10.21656/1000-0887.420318

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Optimization Design of Holding Poles Based on the Response Surface Methodology and the Improved Arithmetic Optimization Algorithm

doi: 10.21656/1000-0887.420318

College of Civil Engineering, Hefei University of Technology, Hefei 230009, P.R.China

Received Date: 2021-10-25
Rev Recd Date: 2022-05-25

Available Online: 2022-05-26

Publish Date: 2022-10-31

Abstract

Abstract

The computation consumption of finite element analysis for structural optimization design of holding poles is large, and it is difficult to determine the feasible region. The response surface method (RSM) was used to simulate the real response of the holding pole, and an improved arithmetic optimization algorithm (IAOA) was proposed to optimize the holding pole. The fractional-order calculus was introduced into the arithmetic optimization algorithm (AOA) to improve the exploitation ability of the AOA. The Latin hypercube sampling was applied to select the test samples of each member of the holding pole, and the least square method was employed to analyze the sample points. Then, the 2nd-order response surface surrogate model for the stress and displacement of the holding pole on the cross-sectional sizes of each member was established. An optimization model was constructed with the minimum mass as the optimization objective and the allowable stress and displacement as constraints, and the IAOA was implemented to solve the model. The results show that, the 2nd-order response surface model can accurately predict the response value of the holding pole. The solution accuracy of the IAOA is significantly improved. The surrogate model can greatly decrease the calculation cost of the finite element analysis. The mass of the holding pole is reduced by 8.2% after optimization. The RSM and the IAOA can be combined to solve the optimization design problem of large spatial truss structures effectively.
- response surface method,
- arithmetic optimization algorithm,
- fractional-order calculus,
- surrogate model,
- holding pole

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References

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