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Harmonic reducers are widely used in various mechanisms of spacecraft, such as mechanism deployment, motion actuation, and precision pointing, due to their advantages of high single-stage reduction ratio, high transmission efficiency, small size, and large load capacity. For the application of spatial harmonic reducers in Solar Array Drive Assembly (SADA), in this paper, based on the envelope theory, a refined modeling of the commonly used double circular arc tooth profile harmonic reducer in space is completed. Static and transient dynamic finite element analysis of the complex harmonic model is carried out using ANSYS Workbench to study the motion and force distribution of the harmonic reducer under low-speed light-load conditions. The results are compared with those of the commonly used simplified tooth profile models to investigate the influence of tooth profile modeling on the calculation results, and a method to improve the convergence of the complex model is proposed. Based on the static and transient dynamic analysis results, fatigue analysis is conducted using nCode DesignLife, and the failure modes of the space harmonic reducer are identified, and conducted a lifetime prediction.
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