基于频域子结构法的动量轮弹性边界微振动研究

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (3) : 156-163.

论文

李雄飞，程伟

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Micro-vibration of RWA-flexible interface coupled system based on frequency domain substructure method

LI Xiongfei, CHENG Wei

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文章历史 +

摘要

动量轮会与卫星弹性安装界面发生结构耦合，并将导致动量轮微振动的定量分析更为复杂。基于频域子结构方法对动量轮与弹性边界耦合系统的微振动特性进行研究，首先，对频域子结构法进行了推导，引入界面坐标转换矩阵表达不同坐标系下子结构的综合；其次，将动量轮模型简化成12自由度质量-弹簧-阻尼系统，并采用Lagrange能量方法建立其运动方程；再次，将耦合系统划分成动量轮与弹性边界两个子结构，应用推导所得的频域子结构法综合子结构的频响函数得到耦合系统的频响函数矩阵并计算其响应；最后，运用数值仿真和多体动力学仿真进行了验证。结果表明：频域子结构法适用于预测动量轮在弹性边界的微振动响应，具有较高的分析精度和计算效率。

Abstract

Reaction wheel assembly (RWA) can have a structural coupling with the flexible installation interface of a satellite to cause the quantitative analysis of RWA micro-vibration being more complicated.Here, based on the frequency domain substructure method (FDSM), micro-vibration characteristics of a RWA-flexible interface coupled system were investigated.Firstly, FDSM was derived, and the interface coordinate transformation matrix was introduced to synthesize substructures under different coordinates.Secondly, the RWA model was simplified as a 12-DOF mass-spring-damper system, its equation of motion was deduced using Lagrange equation.Thirdly, the coupling system was divided into two substructures including RWA and flexible interface.Then the derived FDSM was adopted to synthesize frequency response functions (FRFs) of the two substructures to achieve the FRF matrix of the coupling system, it was used to calculate the system’s dynamic responses.Finally, the numerical simulation and the multi-body dynamic one were done for the system to verify the system’s dynamic responses obtained above.The results showed that FDSM is appropriate for predicting micro-vibration of the RWA-flexible interface coupled system and it has higher analysis accuracy and computation efficiency.

导出引用

李雄飞，程伟. 基于频域子结构法的动量轮弹性边界微振动研究[J]. 振动与冲击, 2019, 38(3): 156-163

LI Xiongfei, CHENG Wei. Micro-vibration of RWA-flexible interface coupled system based on frequency domain substructure method[J]. Journal of Vibration and Shock, 2019, 38(3): 156-163

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