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Identification of Pipeline Inner Wall Geometry Based on the POD?RBF Method北大核心CSCD
引用本文:余波,陶盈盈.Identification of Pipeline Inner Wall Geometry Based on the POD?RBF Method北大核心CSCD[J].应用数学和力学,2023,44(4):406-418.
作者姓名:余波  陶盈盈
作者单位:1.合肥工业大学 土木与水利工程学院 工程力学系,合肥 230009
基金项目:国家自然科学基金(面上项目)11872166
摘    要:Based on the proper orthogonal decomposition?radial basis function (POD?RBF), a geometric identification method for pipeline inner wall was proposed to solve the internal corrosion detection problem of natural gas and oil pipelines. In view of the static magnetic field, the simplified finite element model for the pipelines was established, and the variable?geometry sample library was constructed, to realize the response prediction of arbitrary geometry by the POD?RBF. The proposed method achieves reduced?order analysis and avoids repeated solution of the stiffness matrix due to the geometrical change during the identification process. Hence, it can significantly improve the computation efficiency. Finally, the grey wolf optimization (GWO) algorithm was used to optimize the objective function and avoid the calculation of the sensitivity in the process of geometry change. The numerical examples show that, the proposed method has high efficiency and accuracy in the geometric identification of the pipeline inner wall, with good stability even under introduced noises. © 2023 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.

关 键 词:管道内壁几何形状识别  降阶代理模型  本征正交分解  径向基函数  灰狼优化算法
收稿时间:2022-05-18

Identification of Pipeline Inner Wall Geometry Based on the POD-RBF Method
Yu B.,Tao Y..Identification of Pipeline Inner Wall Geometry Based on the POD-RBF Method[J].Applied Mathematics and Mechanics,2023,44(4):406-418.
Authors:Yu B  Tao Y
Affiliation:1.Department of Engineering Mechanics, School of Civil Engineering, Hefei University of Technology, Hefei 230009, P.R.China2.State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China
Abstract:Based on the proper orthogonal decomposition-radial basis function (POD-RBF), a geometric identification method for pipeline inner wall was proposed to solve the internal corrosion detection problem of natural gas and oil pipelines. In view of the static magnetic field, the simplified finite element model for the pipelines was established, and the variable-geometry sample library was constructed, to realize the response prediction of arbitrary geometry by the POD-RBF. The proposed method achieves reduced-order analysis and avoids repeated solution of the stiffness matrix due to the geometrical change during the identification process. Hence, it can significantly improve the computation efficiency. Finally, the grey wolf optimization (GWO) algorithm was used to optimize the objective function and avoid the calculation of the sensitivity in the process of geometry change. The numerical examples show that, the proposed method has high efficiency and accuracy in the geometric identification of the pipeline inner wall, with good stability even under introduced noises.
Keywords:grey wolf optimization algorithm  identification of pipeline inner wall geometry  proper orthogonal decomposition  radial basis function  reduced?order surrogate model
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