Nonlinear random vibration analysis of bolted composite structure considering hysteresis effect

被引：0
|
作者：
Wu P. [1 ]
Wang J. [1 ]
Mao C. [1 ]
Zhao Y. [1 ,2 ]
机构：
[1] State Key Lab of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian
[2] Ningbo Research Institute, Dalian University of Technology, Ningbo
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2024年 / 43卷 / 05期
关键词：
hysteresis effects; multi-harmonic balance method; pseudo excitation method (PEM); random vibration;
D O I：
10.13465/j.cnki.jvs.2024.05.024
中图分类号：
学科分类号：
摘要：
Here, aiming at bolted composite structure with hysteresis effect, the pseudo excitation method and multi-harmonic balance method were combined to realize frequency domain power spectra analysis for random vibration response. Firstly, for composite structure under action of random excitation, Jenkins model was used for constitutive modeling. Secondly, random excitations were expressed as complex exponential series, and response spectrum analysis was converted into vector operation of virtual responses to propose the extended pseudo excitation method (E-PEM). Finally, due to calculating difficulty of frequency domain constitution in solving virtual response, alternating time-frequency (AFT) was introduced for processing. Converting nonlinear iteration into optimization problems and solving them with the trust region method effectively solved convergence difficulties of the traditional Newton method. Random vibration response spectrum characteristics of structure were studied with a 2-DOF composite beam model. Compared with Monte Carlo simulation (MCS) method, the correctness of E-PEM was verified. Meanwhile, the specific nonlinear random vibration mechanism of structure was discussed. The results showed that the established E-PEM can provide a reference solving idea for frequency domain analysis of random vibration of general nonlinear structures. © 2024 Chinese Vibration Engineering Society. All rights reserved.
引用
收藏
页码：223 / 230
页数：7
相关论文
共 32 条
  • [1] CHEN Xueqian, SHEN Zhanpeng, LIU Xin, Et al., Uncertainty analysis on the normal dynamic characteristics of bolted joint interfaces, Journal of Vibration and Shock, 40, 10, pp. 20-24, (2021)
  • [2] BRAKE M R., The mechanics of jointed structures, (2016)
  • [3] WITTEVEEN W, KUTS M, KOLLER L., Can transient simulation efficiently reproduce well known nonlinear effects of jointed structures?, Mechanical Systems and Signal Processing, 190, (2023)
  • [4] YUAN J, SALLES L, NOWELL D, Et al., Influence of mesoscale friction interface geometry on the nonlinear dynamic response of large assembled structures [J], Mechanical Systems and Signal Processing, 187, (2023)
  • [5] MATHIS A T, BALAJI N N, KUETHER R J, Et al., A review of damping models for structures with mechanical joints, Applied Mechanics Reviews, 72, 4, (2020)
  • [6] TAMATAM L R, BOTTO D, ZUCCA S., A coupled approach to model wear effect on shrouded bladed disk dynamics [J], International Journal of Mechanical Sciences, 237, (2023)
  • [7] KANG Jiahao, XU Chao, LI Dongwu, Et al., Steady state response analysis of friction vibrator based on harmonic balance time-frequency conversion method, Journal of Vibration and Shock, 39, 12, pp. 170-176, (2020)
  • [8] WANG Dong, ZHANG Zhousuo, Time-frequency domain dynamic order reduction method connecting local hysteretic nonlinearity, Journal of Vibration Engineering, 34, 3, pp. 559-566, (2021)
  • [9] BALAJI N N, CHEN W, BRAKE M R W., Traction-based multi-scale nonlinear dynamic modeling of bolted joints
  • [10] formulation, application, and trends in micro-scale interface evolution, Mechanical Systems and Signal Processing, 139, (2020)
1234