Interval Dynamic Analysis of Large Space Structures with Uncertain Parameters
Guo Wei, Jialiang Sun, Xinyuan Li, Dongping Jin
Abstract: This paper introduces a Chebyshev interval method (CIM) for the dynamic analysis of large space structures with uncertain parameters. A nonlinear rigid-flexible coupling model of the structure is first established, and the harmonic balance method is used to solve for its deterministic dynamic response. Based on this, CIM constructs a surrogate model of the structural response with respect to interval parameters, from which the upper and lower bounds of the response are derived. The interval dynamic responses of large space structures under different uncertain parameters are subsequently computed using CIM. Numerical results show that uncertainties in the joint's mas, excitation amplitude, and rotating speed significantly affect both resonance frequencies and response amplitudes. Furthermore, the accuracy of CIM is assessed against the interval perturbation finite element method (IPFEM) and the Monte Carlo method (MCM). Compared with IPFEM, CIM demonstrates higher accuracy in predicting interval dynamic responses of the large space structure. Finally, a ground microgravity experimental system is designed for large space structures to simulate their on-orbit operating state, and experimental tests are conducted to further validate the effectiveness of the CIM.
文章链接：https://www.sciencedirect.com/science/article/pii/S0141029625020826
