Nonlinear random vibration analysis of bolted composite structure considering hysteresis effect

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.