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Boundary constraint static model modification of beam structure based on homotopy stochastic finite element method
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Jianwei HU1, Can QI2, 4, Liping ZHU3, 4, Zhifeng WU4, 5, Bin HUANG4, Xuelong CHEN1, 4
Journal of Mechanical Strength | 2025, 47(2) : 138 - 146
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Journal of Mechanical Strength | 2025, 47(2): 138-146
• Optimization∙Reliability •
Boundary constraint static model modification of beam structure based on homotopy stochastic finite element method
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Jianwei HU1, Can QI2, 4, Liping ZHU3, 4, Zhifeng WU4, 5, Bin HUANG4, Xuelong CHEN1, 4
Affiliations
  • 1.WSGRI Engineering & Surveying Incorporation Limited, Wuhan 430080, China
  • 2.China Gezhouba Group Corporation of Power Company, Yichang 443002, China
  • 3.WISDRI Wuhan Architecture Design Co., Ltd., Wuhan 430000, China
  • 4.School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China
  • 5.School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Published: 2025-02-15 doi: 10.16579/j.issn.1001.9669.2025.02.017
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Considering the uncertainty associated with structural boundary conditions, a method for modifying the boundary constraint static model of beam structures was proposed based on the homotopy stochastic finite element method.The overall modification of both the beam body elements and boundary elements was achieved using uncertain static measurement data. By employing the static condensation method, computational degrees of freedom were ensured to match measured degrees of freedom. Regularization methods were applied to mitigate ill-conditioned solutions in modification equations for stochastic models. The probabilistic residual minimization method enables optimal selection of homotopy coefficients, ensured accurate identification of boundary constraints and precise overall modification. Finally, simulations on variable-section concrete beams and static loading tests on aluminum alloy beams were conducted to verify the effectiveness of this approach.

Homotopy stochastic finite element  /  Boundary constraint  /  Model modification  /  Static measurement error  /  Static condensation
Jianwei HU, Can QI, Liping ZHU, Zhifeng WU, Bin HUANG, Xuelong CHEN. Boundary constraint static model modification of beam structure based on homotopy stochastic finite element method[J]. Journal of Mechanical Strength, 2025 , 47 (2) : 138 -146 . DOI: 10.16579/j.issn.1001.9669.2025.02.017
Funding
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  • National Natural Science Foundation of China(51978545)
Appendix
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Year 2025 volume 47 Issue 2
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58
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.02.017
  • Receive Date：2024-08-19
  • Online Date：2026-03-18
  • Published：2025-02-15
Article Data
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History
  • Received：2024-08-19
  • Revised：2024-10-10
Funding
National Natural Science Foundation of China(51978545)
Affiliations
    1.WSGRI Engineering & Surveying Incorporation Limited, Wuhan 430080, China
    2.China Gezhouba Group Corporation of Power Company, Yichang 443002, China
    3.WISDRI Wuhan Architecture Design Co., Ltd., Wuhan 430000, China
    4.School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China
    5.School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Corresponding:

WU Zhifeng, E-mail：
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