Abstract：This paper addresses the analytical methods of coupled micro-vibrations of spacecraft. Coupled models of micro-vibration source and supporting structure are derived through dynamic equilibrium relationship, Dynamic Mass Method (DMM), and mechanical impedance theory, respectively. The application range of the traditional DMM is discussed and analyzed. The results indicate that traditional DMM may lead to significant discrepancy in the relatively lower frequency range during coupled micro-vibration analysis, and it is only suitable for cases that when the micro-vibration source’s mass is much smaller than that of the supporting structure. Therefore, a modified DMM is proposed based on mechanical impedance theory. Using the modified DMM, a coupled dynamic model consists of the reaction wheel and spacecraft is developed, with a particular focus on the treatment of gyroscopic effects. Then, coupled dynamics of the reaction wheel and spacecraft structure are analyzed and impact of gyroscopic effects are investigated. The proposed modified DMM can provide an analytical tool for both coupled micro-vibration analysis of spacecraft and ground tests.
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