Screening of Main Effect Parameters for Planetary Gear Transmission Systems Based on Objective Multi-Criteria Decision-Making Analysis Method

As planetary gear transmission system evolves towards high-speed and heavy-load applications, its internal structures become increasingly compact, leading to stronger coupling of dynamic responses among components. The parameters of a single component not only affect its own dynamic response but also indirectly influence other components, with different components being affected to varying degrees. Therefore, obtaining the influence weights of parameters on different components and quantifying their impact on the overall system response becomes particularly crucial. To address these challenges, this study first develops a lateral-torsional coupled dynamic model for a single-stage planetary gear transmission system, incorporating nonlinear factors using the Lagrange method. Furthermore, the model is validated with experimental data. Subsequently, using transmission error parameters as an example, the limitations of response sensitivity analysis methods in addressing overall system dynamics are examined. Thus, a novel multi-criteria decision-making approach is proposed to assess the sensitivity of system parameters for overall dynamic response, integrating the improved CRITIC method and the TOPSIS method. The improved CRITIC method determines the objective weights of transmission error parameters influencing system components, while the TOPSIS method calculates comprehensive scores that account for overall dynamic responses. Ultimately, the results demonstrate that the proposed method is highly effective in identifying key transmission error parameters in gear systems, offering valuable guidance for subsequent system optimization.