Dynamic Torsional Stiffness of Reducers and Its Testing Method

The torsional stiffness of the reducer is commonly assumed to be static and tested using the hysteresis curve method. However, practical engineering experience shows that the torsional stiffness is dynamic rather than static, and the hysteresis curve method cannot accurately represent the reducer's torsional stiffness during actual operation. To address these issues, this study conducts theoretical research on the dynamic characteristics of torsional stiffness, introduces a new concept called dynamic torsional stiffness, and provides its analytical formula. A dynamic torsional stiffness testing method based on the transmission error method is proposed, and its feasibility and consistency with the hysteresis curve method are theoretically demonstrated. This method allows the torsional stiffness information of the reducer to be obtained under all operating conditions. Through experimental research, the limitations of the hysteresis curve method are explained, and the dynamic characteristics of the reducer's torsional stiffness, along with the effectiveness of the transmission error method, are verified. Consequently, the torsional stiffness information of the reducer under all operating conditions is obtained. In conclusion, this method is valuable for both theoretical and engineering applications, as it offers a more accurate representation of the dynamic torsional stiffness of the reducer in real-world scenarios.