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学者姓名：方汉良
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Abstract ：
PurposeElastohydrodynamic lubrication (EHL) plays a crucial role in high-speed and heavy-duty gear transmission systems, exerting significant influence on efficiency, vibration, noise and service life. This study aims to investigate the dynamic response of gear transmission systems under EHL operating conditions.Design/methodology/approachAn analytical methodology is proposed to investigate the influence of lubricating oil parameters on dynamic transmission error (DTE), dynamic meshing force (DMF) and vibration velocity of a planetary gearbox. Herein, the oil film pressure and thickness are calculated by the relaxation iterative method to couple the EHL model with the dynamic model of the planetary transmission system.FindingsThe results show that the DTE decreases significantly, and the vibration amplitude of DMF and vibration velocity also show notable reductions when considering the effect of EHL. In addition, with an increase in oil viscosity, the comprehensive stiffness decreases, while the oil film damping in the single-tooth meshing region increases significantly. This leads to an increase in the peak-to-peak value of DMF and has a greater impact on single-double-tooth alternating meshing.Originality/valueThis research better reveals the lubrication-induced vibration mechanism, which can provide a dynamic theoretical basis for the vibration control and life prediction of the planetary gearbox.Peer reviewThe peer review history for this article is available at: Link to the cited article.
Keyword ：
Dynamic modeling Dynamic modeling Dynamic response Dynamic response Elastohydrodynamic lubrication Elastohydrodynamic lubrication Planetary gearbox Planetary gearbox Time-varying mesh stiffness Time-varying mesh stiffness
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| GB/T 7714 | Wang, Jian , Lu, Yu , Fang, Han Liang et al. Dynamic modeling and analysis of planetary gearbox incorporating the effect of elastohydrodynamic lubrication [J]. | INDUSTRIAL LUBRICATION AND TRIBOLOGY , 2025 . |
| MLA | Wang, Jian et al. "Dynamic modeling and analysis of planetary gearbox incorporating the effect of elastohydrodynamic lubrication" . | INDUSTRIAL LUBRICATION AND TRIBOLOGY (2025) . |
| APA | Wang, Jian , Lu, Yu , Fang, Han Liang , Zhang, Jun . Dynamic modeling and analysis of planetary gearbox incorporating the effect of elastohydrodynamic lubrication . | INDUSTRIAL LUBRICATION AND TRIBOLOGY , 2025 . |
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Abstract ：
This paper presents a quantitative analysis comparing the elastodynamic performance of a redundantly actuated parallel manipulator to its non-redundantly actuated counterpart. A unified elastodynamic model is established to encompasses both actuation types, facilitating a comprehensive analysis of their performance characteristics. To assess the impact of redundant actuation, frequency variation indices are defined to measure the influence of the redundantly actuated limbs on the overall system dynamics. Two global sensitivity indices are introduced to quantify how variations in design variables affect elastodynamic performance. An adaptive Kriging-based algorithm is developed to predict elastodynamic behavior, and it is numerically validated for both accuracy and efficiency. Through a detailed elastodynamic comparison and sensitivity analysis, we identify the key effects of redundant actuation and pinpoint the most significant design variables. Our findings reveal that the enhancements in low-order natural frequencies due to redundant actuation are configuration- and order-dependent. The redundantly actuated parallel manipulator demonstrates heightened sensitivity to geometric variables in terms of elastodynamic performance, surpassing that of its non-redundantly actuated variant. The sensitivity analysis provides valuable insights, guiding future improvements in elastodynamic performance. Notably, the thickness of the moving platform emerges as a critical parameter that warrants optimization during the design phase. Therefore, this analysis is particularly pivotal in the initial evaluation stages of parallel manipulators, ensuring that designs are refined for enhanced dynamic responses. With necessary modifications, this work can be applied to other redundantly actuated parallel manipulators to contribute a deeper understanding of how redundancy influences their dynamic characteristics.
Keyword ：
Adaptive Kriging Adaptive Kriging Elastodynamic Elastodynamic Parallel manipulator Parallel manipulator Redundant actuation Redundant actuation Sensitivity analysis Sensitivity analysis
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| GB/T 7714 | Tang, Tengfei , Fang, Hanliang , Yang, Fufu et al. Adaptive Kriging elastodynamic modelling and analysis for a redundantly actuated parallel manipulator [J]. | APPLIED MATHEMATICAL MODELLING , 2025 , 142 . |
| MLA | Tang, Tengfei et al. "Adaptive Kriging elastodynamic modelling and analysis for a redundantly actuated parallel manipulator" . | APPLIED MATHEMATICAL MODELLING 142 (2025) . |
| APA | Tang, Tengfei , Fang, Hanliang , Yang, Fufu , Zhang, Jun . Adaptive Kriging elastodynamic modelling and analysis for a redundantly actuated parallel manipulator . | APPLIED MATHEMATICAL MODELLING , 2025 , 142 . |
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This study presents a comprehensive geometric modeling and error propagation analysis for a 3-degrees-of-freedom spindle head, focusing on an over-constrained parallel mechanism. Four geometric error models are established for the over-constrained spindle head, each considering different combinations of constraint wrenches. A set of sensitivity indices is formulated to evaluate the effectiveness of these models. Comparative sensitivity analysis suggests that a model incorporating all constraint wrenches is suitable for error propagation analysis. Two error propagation indices are introduced to quantify the impact of the geometric source errors on the position and orientation of an individual limb structure. The coupled error propagation indices account for the kinematic interactions among limb structures, allowing for a detailed analysis of the spindle head's terminal accuracy. The relative deviations of error propagation indices are utilized to assess the quantitative impact of kinematic interactions on the geometric errors of an individual limb structure. Furthermore, this study analyzes the cumulative effects of kinematic errors from three limb structures to reflect the influence of kinematic interactions on the terminal accuracy of the spindle head. The findings indicate that geometric errors of the limbs in such an over-constrained spindle head are mutually compensatory, reducing linear and angular errors and enhancing the spindle head's terminal accuracy.
Keyword ：
geometric error modeling geometric error modeling over-constrained mechanism over-constrained mechanism parallel mechanism parallel mechanism sensitivity analysis sensitivity analysis spindle head design and analysis spindle head design and analysis
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| GB/T 7714 | Shen, Yifeng , Tang, Tengfei , Fang, Hanliang . Geometric Modeling and Error Propagation Analysis of an Over-Constrained Spindle Head with Kinematic Interactions [J]. | MACHINES , 2024 , 12 (9) . |
| MLA | Shen, Yifeng et al. "Geometric Modeling and Error Propagation Analysis of an Over-Constrained Spindle Head with Kinematic Interactions" . | MACHINES 12 . 9 (2024) . |
| APA | Shen, Yifeng , Tang, Tengfei , Fang, Hanliang . Geometric Modeling and Error Propagation Analysis of an Over-Constrained Spindle Head with Kinematic Interactions . | MACHINES , 2024 , 12 (9) . |
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