Geometrically Nonlinear Deformation Reconstruction Based on iQS4 Elements Using a Linearized Iterative iFEM Algorithm

作     者：Mengying Li Dawei Jia He Huang Ziyan Wu Adnan Kefal Mengying Li;Dawei Jia;He Huang;Ziyan Wu;Adnan Kefal

作者机构：School of MechanicsCivil Engineering and ArchitectureNorthwestern Polytechnical UniversityXi’an 710129China Faculty of Engineering and Natural SciencesSabanci UniversityTuzlaIstanbul 34956Turkey Integrated Manufacturing Technologies Research and Application CenterSabanci UniversityTuzlaIstanbul 34956Turkey 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2023年第36卷第1期

页      面：166-180页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by the NationalNatural Science Foundation of China(Grant No.11902253) the Fundamental Research Funds for the Central Universities of China.The authors are grateful for this support 

主　　题：Deformation reconstruction iQS4 element Iterative algorithm Nonlinear iFEM Geometric nonlinearity 

摘      要：Structural shape monitoring plays a vital role in the structural health monitoring *** inverse finite element method(iFEM)has been demonstrated to be a practical method of deformation reconstruction owing to its unique *** iFEM formulations have been applied to small deformation of structures based on the small-displacement assumption of linear ***,this assumption may be inapplicable to some structures with large displacements in practical ***,geometric nonlinearity needs to be *** this study,to expand the practical utility of iFEM for large displacement monitoring,we propose a nonlinear iFEM algorithm based on a four-node inverse quadrilateral shell element *** the advantage of an iterative iFEM algorithm,a nonlinear response is linearized to compute the geometrically nonlinear deformation reconstruction,like the basic concept of nonlinear FE *** examples are solved to verify the proposed *** is demonstrated that large displacements can be accurately estimated even if the in-situ sensor data includes different levels of randomly generated *** is proven that the nonlinear iFEM algorithm provides a more accurate displacement response as compared to the linear iFEM methodology for structures undergoing large ***,the proposed approach can be utilized as a viable tool to effectively characterize geometrically nonlinear deformations of structures in real-time applications.