Influence of Involute and Cycloid-Pin Profile Modification on the Dynamic Transmission Characteristics of the RV Reducer

Abstract

To clarify the combined influence of involute and cycloidal profile modifications on RV reducer dynamics, a coupled multibody model including the involute gear pair, cycloid-pin pair, and bearing-support system was developed. Composite meshing error, time-varying meshing stiffness, and external load were considered, while meshing stiffness and contact parameters from Romax were introduced to improve engineering fidelity; the dynamic response was solved using the Gill integration method. Comparative analyses were conducted for involute profile modification, cycloidal moved-distance equidistant modification, and cycloidal pressure-angle modification in terms of meshing stiffness, load distribution, contact stress, transmission error, and vibroacoustic behavior. Involute modification reduced the maximum meshing stiffness from to N/mm (17.3%) and suppressed stiffness fluctuation during the single-to-double tooth transition. For the cycloid-pin stage, pressure-angle modification lowered peak contact stress from about 1600 to 1100 MPa (31.3%). Although transmission error changed only slightly, the involute plus pressure-angle scheme achieved the best overall vibroacoustic performance, reducing the dominant low-frequency acoustic peak by about 11 dB(A) and equivalent acoustic radiation power by about 60%, providing guidance for RV reducer profile design and dynamic optimization.