Abstract：This paper proposes a substructure-based model updating method. The global structure was divided into independent manageable substructures,which were analyzed to calculate the substructural eigensolutions and eigensensitivity. Afterwards,the independent substructures were constrained to calculate the eigensolutions and eigensensitivity of the global structure. Finally,the eigensolutions were used for the objective function and the eigensensitivity was used to indicate the searching direction to achieve the model updating. When the local area of a structure was changed,only one or more substructures were analyzed whereas the other substructures were untouched. Since the substructures were much smaller than the global structure,the proposed method significantly improved the accuracy and efficiency of the model updating process.
翁顺1，左越1，朱宏平1，陈波2，赵会贤1，田炜1，颜永逸1. 基于子结构的有限元模型修正方法[J]. 振动与冲击, 2017, 36(4): 99-104.
WENG Shun1,ZUO Yue1，ZHU Hongping1,CHEN Bo2，ZHAO Huixian1,TIAN Wei1，YAN Yongyi1. Model updating based on a substructuring method. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(4): 99-104.
[1] Mottershead JE, Friswell MI. Model updating in structural dynamics: A survey. Journal of Sound and Vibration 1993, 67: 347-75.
[2] 朱宏平, 黄民水. 基于环境激励的桥梁结构动力有限元 模型修正研究. 华中科技大学学报, 2009年. 第26卷, 第1期: 1-11.
Zhu HP, Huang MS. Study on dynamic finite element model updating of bridge structures based on ambient excitation. Journal of Huazhong University of Science and Technology(Urban Science Edition), 2009, 26(1), 1-11.
[3] 方圣恩, 基于有限元模型修正的结构损伤识别方法研究. 中南大学, 博士论文, 2010.
Fang SE. Studies on structural damage detection by finite element model updating, Phd thesis, Southeast University, 2010.
[4] 姜东, 费庆国, 吴邵庆. 基于摄动法的不确定性有限元模型修正方法研究, 计算力学学报, 2014年, 31(4): 431-437.
Jiang D, Fei QG, Wu SQ. A study on stochastic finite element model updating based on perturbation approach Chinese Journal of Computational Mechanics, 2014, , 31(4): 431-437.
[5] 任伟新, 陈华斌, 基于响应面的桥梁有限元模型修正, 土木工程学报, 2008年12月, 41(12): 73-78.
Ren WX, Chen HN. Response-surface based on finite element model updating of bridge structures. China Civil Engineering Journal, 2008, 41(12): 73-78.
[6] 郭勤涛, 张令弥, 费庆国. 结构动力学有限元模型修正的 发展--模型确认[J].力学进展, 2006, 36(1): 36-42.
Guo QT, Zhang LM, Fei QG. From FE model updating to model validation: advances in modeling of dynamic structures, Advances in Mechanics, 2006, 36(1): 36-42.
[7] Brownjohn JMW, Moyo P, Omenzetter P, Lu Y. Assessment of highway bridge upgrading by dynamic testing and finite-element model updating. Journal of Bridge Engineering 2003. 8: 162-72.
[8] Jaishi B, Ren WX. Structural Finite Element Model UpdatingUsing Ambient Vibration Test Results. Journal of Structural Engineering 2005, 131: 617-28.
[9] Zhu HP, Mao L, Weng S. A sensitivity-based structural damage identification method with unknown input excitation using transmissibility concept. Journal of Sound and Vibration, 2014, 333: 7135-7150.
[10] Weng S, Zhu AZ, Zhu HP, et al. Dynamic condensation approach to the calculation of eigensensitivity, Computers and Structures, 2014, 132: 55-64.
[11] Weng S, Zhu HP, Xia Y, et al. Substructuring approach to the calculation of higher-order eigensensitivity. Computers and Structures, 2013, 117, pp: 23-33.
[12] Weng S, Zhu HP, Xia Y, et al. Damage detection using the eigenparameter decomposition of substructural flexibility matrix. Mechanical Systems and Signal Processing, 2013, 34, pp: 19-38.
[13] Weng S, Xia Y, Xu YL, et al. Improved substructuring method for eigensolutions of large-scale structures. Journal of Sound and Vibration 2009, 323: 718-36
[14] Choi KK, Kim NH. Structural Sensitivity Analysis and Optimization 1: Linear Systems. New York: Springer Science and Business Media, Inc, 2005.
[15] Fox RL, Kapoor MP. Rate of change of eigenvalues and eigenvectors. AIAA Journal 1968, 6: 2426-9.
[16] Nelson RB. Simplified calculation of eigenvector derivatives. AIAA Journal 1976, 14: 1201-5.
[17] Craig RR. Coupling of substructures for dynamic analysis:
an overview, Proceedings of 41st AIAA/ASME/ASCE/ASC Structures, Structural Dynamics, and Materials Conference, Atlanta, GA, 3-8 April 2000, pp. 171-179.
[18] Kron G, Chapter 2 of Diakoptics, Macdonald and Co. London, England, 1963, 46-87.
