[期刊论文][Full-length article]


Metamodel-assisted hybrid optimization strategy for model updating using vibration response data

作   者:
Li YiFei;Cao MaoSen;Tran N. Hoa;S. Khatir;Hoang-Le Minh;Thanh SangTo;Thanh Cuong-Le;Magd Abdel Wahab;

出版年:2023

页    码:103515 - 103515
出版社:Elsevier BV


摘   要:

In this study, an effective and novel method, termed M etamodel A ssisted H ybrid of P article S warm O ptimization with G enetic A lgorithm (MA-HPSOGA), is developed to identify unknown structural dynamic parameters. The method first constructs four popular metamodels to substitute the computationally expensive numerical analysis based on the Latin hypercube sampling method and probabilistic finite element analysis, and their accuracy is assessed by R-squared. Subsequently, a suitable and low-cost metamodel is selected in combination with a hybrid optimization strategy by incorporating Genetic Algorithm (GA) into Particle Swarm Optimization (PSO). Two examples with measured vibration response data and different levels of complexity are used to verify the effectiveness and practicality of the presented method. The results showed that polynomial chaos expansion assisted HPSOGA has the highest computational efficiency and accuracy in the four coupled methods. Besides, compared to the conventional iteration-based dynamic parameter identification methods, the presented method shows an overwhelming advantage in terms of computational efficiency. Furthermore, the performance of HPSOGA is compared with its sub-algorithms, showing that the hybrid strategy offers faster convergence and stronger robustness. Our findings reveal that the MA-HPSOGA may be used as a promising method for achieving high-efficiency model updating in large-scale complex structures. Introduction A mathematical model is a representation or an abstract interpretation of physical reality that is amenable to analysis and calculation. Numerical simulation allows us to calculate the solutions of these models on a computer, and therefore to simulate physical reality. The Finite Element Method (FEM), as one of the most mainstream methods for numerical simulations, has always played an extraordinarily important role in exploring scientific and engineering problems [1]. For example, during project feasibility studies, Finite Element Analysis (FEA) has been applied to large civil engineering structures to pre-assess structural safety, leading to better construction guidance and risk prevention. However, the structural finite element (FE) models have inherent and epistemic errors, leading to some deviation between the system response after FEA and the real system response. These errors can be divided into the following three categories: (1) idealistic assumptions made to describe the mechanical behavior of physical structures, (2) inherent errors introduced by numerical methods and (3) typical errors arising from incorrect assumptions regarding model parameters. The first two are related to the mathematical structure of the model, which is hard to eliminate, while the last typical error can be reduced by model updating [2,3]. Model updating is essentially an optimization search process for solving inverse problems, and it can be an important tool for calibrating FE models to mitigate modeling errors [4]. By modifying the modeling parameters of the initial FE model, the discrepancy between the model response and the measured system response is minimized, enabling the behavior of the updated FE model to be as close as possible to the corresponding real structure. Conventional model updating methods is achieved by a trial-and-error approach and sensitivity analysis approach [5,6], which are often time-consuming and may not be feasible in some cases. In recent years, with the rapid development of modern intelligent algorithms, numerous studies have focused on metaheuristic algorithms for FE model updating. Tran et al. [7] proposed a hybrid metaheuristic algorithm, which incorporates fully the advantages of Genetic Algorithm (GA) and Improved Cuckoo Search (ICS), and then updated the FE model of a large twin steel truss bridge based on vibration measurement data. Dinh et al. [8] developed a Multi-Objective Cuckoo Search (MOCS) algorithm for optimizing the objective function in finite element model updating, and subsequently implemented the identification of the location and extent of multi-damages in functionally graded material structures. Minh et al. [9] developed a new balance of Cuckoo Search (NB-CS) algorithm for model updating and damage identification of three shell models with different levels of complexity, based on co-simulation with SAP2000 software and MATLAB. Sang et al. [10] proposed a novel stochastic optimization algorithm, namely the Planetary Optimization Algorithm (POA), for predicting horizontal displacements of diaphragm wall in high-rise buildings, and the structural FE model was calibrated based on field monitoring data from the early stages of excavation. Wu et al. [11] proposed an improved Crow Search Algorithm based on Levy Flight (LFCSA) for FE model updating, and the superiority of the proposed algorithm was highlighted in comparison with the standard CSA and the PSO algorithm with Levy Flight (LFPSO). Although modern intelligent algorithms are widely used for model updating, the updating process requires numerous calls to the structural FE model for iterative optimization. Especially for performing structural dynamics or nonlinear analysis, such crude operations make it extremely inefficient to apply modern intelligent algorithms to complex structures. Fortunately, metamodeling techniques provide a bridge between the two. The technique treats the relationship between inputs and outputs as a ‘black box’ model, allowing to create a computationally inexpensive mathematical approximation to substitute the expensive FE models without requiring additional information about the system [12]. There are some popular metamodels such as Artificial Neural Network (ANN) [13], Polynomial Chaos Expansion (PCE) [14], Kriging [15] and Support Vector Regression (SVR) [16], etc. Zhou et al. [17] constructed a Multi-Response Gaussian Process (MRGP) metamodel to substitute the structural FE model, and then adopted PSO and Simulated Annealing Algorithm (SAA) to minimize the discrepancy between the predicted and measured structural frequency responses. Naranjo et al. [18] developed a new efficient collaborative algorithm, which combines Harmony Search and Active-Set Algorithm (HS-ASA) and ANN and Principal Component Analysis (PCA). The proposed algorithm was applied to address the model updating of a real steel footbridge. Wang et al. [19] proposed a multi-scale model updating method, which combined Kriging metamodel with Non-dominated Sorting Genetic Algorithm-II (NSGA-II) for identifying the unknown parameters in transmission tower structures. The results showed that the proposed method could improve the accuracy of the tower in both global and local structural responses. Xia et al. [20] combined Back-Propagation Neural Network (BPNN) with Gaussian-white-noise-Mutation Particle Swarm Optimization (GMPSO), proposing an effective model updating method for complex bridge structures. Most of the literature mentioned above usually only employs single surrogate model in conjunction with the optimization algorithm for model updating, lacking a comprehensive investigation in the computational accuracy and efficiency of surrogate models applied to parameter identification. As it is well known, no single surrogate model was found to be the most effective for all problems. Hence, four widely popular metamodels, are chosen in this study, namely ANN, PCE, Kriging and SVR, with the view of revealing their differential performance in assisting the same hybrid optimization strategy, attempting to expand the boundaries of the existing literature mostly focusing on single metamodel. This paper aims to provide a promising generic paradigm for the rapid implementation of FE model updating, and its innovations have been integrated as follows: • The differential performance of several popular metamodelling techniques applied to FE model updating are compared and mechanistic explanation for the differences is provided. • An easy-to-implement method for identifying structural dynamic parameters is constructed using the common surrogate models and the popular optimization algorithms, breaking through the limitations of conventional methods to quickly determine the parameters. • Compared with the conventional iteration-based methods, the proposed method achieves a qualitative leap in computational efficiency while improving the computational accuracy. The rest of this article is structured as follows. Section 2 briefly describes the methodology of the four metamodels and HPSOGA, and Section 3 presents the procedures and evaluation metrics for the MA-HPSOGA method. Next, Sections 4 and 5 use two models with varying complexity, aiming to demonstrate the effectiveness and practicality of the proposed method. Conclusions are given in Section 6 and some detailed results are presented in Appendix A. Section snippets Theoretical fundamentals This section will briefly introduce the underlying theory of four popular metamodels and HPSOGA. Proposed parameter identification method: MA-HPSOGA The procedure of the proposed MA-HPSOGA method to identify structural unknown parameters is described in detail below. Step 1: Building computational model and selecting input parameters: The first step in the work is to build a high-precision FE model that adequately reflects the structural properties, followed by setting the input parameters. Usually, due to some uncertainty exists in the modeling and measurement, it is difficult to obtain the exact values of these input parameters. Therefore, Validation of MA-HPSOGA This section validates the effectiveness of the MA-HPSOGA method for model updating by studying a cantilever aluminum plate. Application of MA-HPSOGA to small-scaled dam The previous section provides a detailed validation for the effectiveness of the MA-HPSOGA method applied to model updating. This section will take a small-scaled laboratory model as example, to further explore the applicability of the MA-HPSOGA method to practical engineering problems. Conclusions In the real world, almost all complex structures, such as bridges and dams, are fraught with numerous uncertainties. Their values of material parameters are often difficult to measure accurately due to the complex construction environment and processes, as well as the extremely long construction periods. Therefore, identifying the most accurate material parameters, making the response of the structural FE model as close as possible to the real structural system response, becomes a priority in CRediT authorship contribution statement Li YiFei: Investigation, Methodology, Validation, Writing – original draft. Cao MaoSen: Investigation, Methodology, Validation, Supervision, Writing – review & editing. Tran N. Hoa: Software, Investigation. S. Khatir: Software, Investigation. Hoang-Le Minh: Software, Investigation. Thanh SangTo: Software, Investigation. Thanh Cuong-Le: Validation, Writing – review & editing. Magd Abdel Wahab: Investigation, Methodology, Validation, Supervision, Writing – review & editing. Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: Acknowledgement The authors are grateful for the Fundamental Research Funds for the Central Universities : No. B220204002 ; the 2022 National Young Foreign Talents Program of China: No.QN2022143002L; the Jiangsu International Joint Research and Development Program (No. BZ2022010); the Nanjing International Joint Research and Development Program (No. 202112003). References (52) S. Ereiz et al. Review of finite element model updating methods for structural applications (2022) J.T. Wang et al. Frequency response function-based model updating using Kriging model Mech Syst Signal Process (2017) J.E. Mottershead et al. The sensitivity method in finite element model updating: a tutorial Mech Syst Signal Process (2011) P.G. Bakir et al. Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm J Sound Vib (2007) H.L. Minh et al. Structural damage identification in thin-shell structures using a new technique combining finite element model updating and improved Cuckoo search algorithm Adv Eng Software (2022) Y.F. Li et al. A surrogate-assisted stochastic optimization inversion algorithm: parameter identification of dams Adv Eng Inf (2023) C. Wang et al. Artificial neural network combined with damage parameters to predict fretting fatigue crack initiation lifetime Tribol Int (2022) L. YiFei et al. Multi-parameter identification of concrete dam using polynomial chaos expansion and slime mould algorithm Comput Struct (2023) A. Roy et al. Support vector regression based metamodel by sequential adaptive sampling for reliability analysis of structures Reliab Eng Syst Saf (2020) K. Zhou et al. 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所属期刊
Advances in Engineering Software
ISSN: 0965-9978
来自:Elsevier BV