Nonlinear random vibration analysis of bolted composite structure considering hysteresis effect

WU Penghui1,WANG Jilei1,MAO Chenyang1,ZHAO Yan1,2

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (5) : 223-230.

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PDF(1766 KB)
Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (5) : 223-230.

Nonlinear random vibration analysis of bolted composite structure considering hysteresis effect

  • WU Penghui1,WANG Jilei1,MAO Chenyang1,ZHAO Yan1,2
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Abstract

For the bolted assembly structure with hysteresis effects, a frequency domain approach was developed for the power spectral density analysis of the random vibration response of a structure by combining the pseudo excitation method and the multi-harmonic balance method. First, for an assembly structure with random excitation, the constitutive was modeled using the Jenkins model. Second, the random excitation was expressed as a complex exponential series expansion form. Then, the extended pseudo excitation method (E–PEM) was proposed to transform the response spectral analysis into a vector operation of the pseudo response. Finally, for the constitutive computation in the frequency domain during the pseudo response solution, the time-frequency transform (AFT) was introduced to deal with it. Furthermore, convergence difficulties of the traditional Newton method were solved by converting the iterative solution problem into an optimization problem and solving it using the trust region method. The random vibration response spectral characteristics of the assembly structure were investigated by using the two-DOF model and the assembly beam model. The correctness of E–PEM was verified by comparison with Monte Carlo simulation (MCS), and some nonlinear random vibration mechanisms specific to the structure were discussed. The results show that the E–PEM in this paper provides a useful solution idea for the frequency domain analysis of random vibration of general nonlinear structures.

Key words

hysteresis effects / random vibration / pseudo excitation method / multi-harmonic balance method

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WU Penghui1,WANG Jilei1,MAO Chenyang1,ZHAO Yan1,2. Nonlinear random vibration analysis of bolted composite structure considering hysteresis effect[J]. Journal of Vibration and Shock, 2024, 43(5): 223-230

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