Nonlinear model updating strategy based on equivalent linearization method

被引:0
|
作者
Zhang H. [1 ,2 ]
Wei D. [1 ]
Hu L. [1 ]
Li L. [1 ]
Li D. [3 ,4 ]
Fan J. [2 ]
机构
[1] China Construction Second Engineering Bureau, Beijing
[2] Department of Civil Engineering, Tsinghua University, Beijing
[3] Guangdong Engineering Center for Structure Safety and Health Monitoring, Shantou University, Shantou
[4] MOE Key Laboratory of Intelligent Manufacturing Technology, Shantou University, Shantou
关键词
equivalent linearization; model updating; nonlinear structure; random vibration; relative coordinates;
D O I
10.14006/j.jzjgxb.2023.S2.0049
中图分类号
学科分类号
摘要
The optimization objective function established by structural eigenvalues obtained from numerical model and dynamic experiment is crucial for model updating. However, the eigenvalues of nonlinear structures are not as rich as those of linear structures, and they are not easy to be extracted by conventional test technology. Especially in the case of random vibration, the dynamic characteristics of nonlinear structures will be more complex, and it is more difficult to carry out theoretical or experimental analysis, and therefore it is hard to achieve model updating. Equivalent linearization is a powerful method for random vibration analysis of nonlinear systems. At the same time, the uniqueness of the equivalent linear system makes it possible to become one of the important eigenvalues of the nonlinear systems. Firstly, a numerical calculation method of equivalent linearization for nonlinear systems was proposed by using relative coordinates, and the obtained equivalent linear system was used as the eigenvalue of nonlinear systems to establish the model updating objective function, thus a nonlinear model updating strategy based on equivalent linearised numerical methods is proposed. Calculation results show that the proposed strategy can accurately perform the equivalent linearised numerical calculations of the nonlinear system, effectively improve the accuracy of the nonlinear model, and realize the correction of the nonlinear model. © 2023 Science Press. All rights reserved.
引用
收藏
页码:483 / 490
页数:7
相关论文
共 23 条
  • [1] FRISWELL M I, MOTTERSHEAD J E., Finite element model updating in structural dynamics, pp. 1-6, (1995)
  • [2] ZHU Hongping, WENG Shun, WANG Dansheng, Et al., Precise structural health diagnosis of large-scale structures, Journal of Building Structures, 40, 2, pp. 215-226, (2019)
  • [3] ZHANG Hao, LI Dongsheng, LI Hongnan, Recent progress on finite element model updating: from linearity to nonlinearity, Advances in Mechanics, 49, pp. 542-575, (2019)
  • [4] KERSCHEN G, WORDEN K, VAKAKIS A F, Et al., Past, present and future of nonlinear system identification in structural dynamics [J], Mechanical Systems and Signal Processing, 20, 3, pp. 505-592, (2006)
  • [5] NOEL J P, KERSCHEN G., Nonlinear system identification in structural dynamics: 10 more years of progress, Mechanical Systems and Signal Processing, 83, pp. 2-35, (2017)
  • [6] WORDEN K, TOMLINSON G R., Nonlinearity in structural dynamics: detection, identification and modelling, pp. 41-78, (2001)
  • [7] CRANDALL S H., A half-century of stochastic equivalent linearization, Structural Control and Health Monitoring, 13, pp. 27-40, (2006)
  • [8] PROPPE C, PRADLWARTER H J, SCHULLER G I., Equivalent linearization and Monte Carlo simulation in stochastic dynamics, Probabilistic Engineering Mechanics, 18, 1, pp. 1-15, (2003)
  • [9] IWAN W D, YANG I., Application of statistical linearization technique to nonlinear multi-degree-offreedom systems, Journal of Applied Mechanics, 39, pp. 545-550, (1972)
  • [10] ROBERTS J B, SPANOS P D., Random vibration and statistical linearization, pp. 178-182, (1999)