具有区间参数的陀螺柔性结构动响应分析  

Dynamic response of gyroscopic flexible structures with interval parameters

作　　者：魏国 李新圆 郭娇娇 刘福寿 金栋平 Guo Wei;Xinyuan Li;Jiaojiao Guo;Fushou Liu;Dongping Jin(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;College of Civil Engineering,Nanjing Forestry University,Nanjing 210037,China)

机构地区：[1]不详

出　　处：《Acta Mechanica Sinica》2023年第8期166-177,共12页力学学报（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant Nos.11827801,12172181,and 11732006)。

摘　　要：本文研究了带有不确定性参数的陀螺柔性结构动态响应.首先假设柔性结构含有不确定性参数且有界,建立一个受扰动的陀螺柔性结构模型.随后,提出一种有理级数展开-区间摄动有限元方法(RSE-IPFEM),用于估计陀螺柔性结构的区间动响应上下界.最后,给出了两个数值算例结果,并与摄动有限元法(IPFEM)、蒙特卡罗方法(MCM)计算的结果相对比,证明了RSE-IPFEM方法的有效性和可行性.结果表明,弹性模量和陀螺转子速度的不确定性对陀螺柔性结构的动响应有很大影响.This paper investigates the dynamic response of space flexible structures with control moment gyroscopics(CMGs)in which uncertain-but-bounded parameters are considered.The uncertainties in the dynamic modeling of flexible structure are treated as interval parameters and an interval gyroscopic model is established.Afterwards,a rational series expansion-interval perturbation finite element method(RSE-IPFEM)is proposed to estimate the upper and lower bounds of the interval dynamic response of the gyroscopic flexible structure.Meanwhile,the Monte Carlo method is presented to provide a reference solution.Two numerical cases are given to demonstrate the effectiveness and feasibility of the RSE-IPFEM.The results show that the uncertainties of Young’s modulus and rotor speed have a great impact on the dynamic response of the gyroscopic flexible structure.

关 键 词：级数展开 结构动态响应 柔性结构 有限元方法 不确定性参数 上下界 蒙特卡罗方法 区间参数 

分 类 号：O17[理学—数学]