Demonstrates a new design method for gears, suggesting improved efficiency and flexibility in engineering applications.
To address the limited design flexibility in meshing equations, complex modeling processes, and a lack of systematic research on bidirectional transmission in traditional parallel-axis line gears, this paper proposes a rapid design method for bidirectional transmission parallel-axis external line gears (BTPELG). Firstly, a multi-coordinate system is established, and homogeneous transformation matrices are derived. Secondly, the meshing equation is extended with an angular parameter to obtain a widely applicable conjugate condition. Then, two pairs of conjugate contact curves and center guide curves are constructed, and the offset vector for a circular-arc tooth profile is derived. Subsequently, taking the equidistant cylindrical helix as the driving contact curve, a 3D solid model is built via the sweeping method. Finally, kinematic simulations and experiments on 3D-printed prototypes verify the transmission ratios under forward and reverse conditions. Results show stable bidirectional transmission with average ratios matching theory and small fluctuations, confirming the method’s feasibility and providing a reference for rapid design and engineering applications.
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Chen et al. (2026) studied this question.
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