Dynamic Modeling and Simulation of Double-Planetary Gearbox Based on Bond Graph

Tan, Wuzhong; Wu, Jiangming; Ni, Debing; Yan, Hongjie; Xiang, Enming; Liu, Shuangqi

doi:10.1155/2021/3964808

Cited by 4 publications

(1 citation statement)

References 14 publications

(15 reference statements)

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“…The transmission path of vibrations in aero-engines was analyzed in [17] using the BG theory methods, to efficiently diagnose and minimize noise and vibration in the design stage. Tan [18] discussed the effects of stiffness, damping, and inertia on the dynamic response of gear trains, based on the bond graph method.…”

Section: Introductionmentioning

confidence: 99%

Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches

Yan

Liu

et al. 2022

Applied Sciences

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The modeling and simulation of gearboxes is important for analyzing the dynamic characteristics and designing control strategies of transmission systems. Variable-speed gearboxes include compound planetary gear trains and clutches, which complicates dynamic modeling. Here, a procedural bond graph-based modeling method that considers many uncertainties is proposed. The proposed method yields a constant system–structure model. First, bond graph models of the two most common planetary gears were summarized, and were used as sub-models of a compound planetary gear train. Then, the Karnopp friction sub-model of the friction clutch and a relative angular displacement sub-model of the one-way clutch were constructed. Based on the dynamic coupling between the sub-models, the modeling steps of the gearbox, including the compound planetary gear train friction clutch one-way clutch coupling system, are described in detail. Next, the main sources of uncertainties of gearbox were analyzed and the simulation methods were given. Finally, the novel uncertain bond graph model was used to simulate the double planetary gearbox; the transmission ratio before and after the shift was 2.42 and 1.72, compared with the design values of 2.41 and 1.71, respectively; the deviation is within 5.8%; The average rotating speeds of the output shaft fluctuated by 6 and 2.5% respectively, which was within a reasonable range, so the effectiveness of the method is verified.

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Section: Introductionmentioning

confidence: 99%

Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches

Yan

Liu

et al. 2022

Applied Sciences

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Ecological Footprint, Economic Uncertainty and Foreign Direct Investment in South Africa: Evidence From Asymmetric Cointegration and Dynamic Multipliers in a Nonlinear ARDL Approach

2022

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This study was carried out to analyze the impact of ecological footprint (EFP), exchange rate (EXC) and bio-capacity (BC) on foreign direct investment (FDI) in South Africa. The study was based on monthly time series data from 1996 to 2017. Asymmetric dynamic multiplier, Linear and Nonlinear Autoregressive distributed lag models were used to establish the relationship between the selected variables. Linear ARDL reveal significant symmetric relationship between FDI, ecological footprint, biocapacity and exchange rate in the short run. Nonlinear Autoregressive distributed lag (NARDL) bounds test confirmed the existence of cointegration between the variables. The non-linear short-run results reveal that positive shock of EXC affect FDI negatively. While positive shock from EFP has a significant and positive effect on FDI. Interestingly, in the long run the negative shock of EXC on FDI is negative while the positive shock of EXC affects FDI positively. Furthermore, the long-run asymmetric dynamic multiplier showed that the cumulative positive and negative effect of EFP and BC on FDI is positive. Hence, it is important that policies be put in place to ensure environmental sustainability and stable exchange rate while growing the South African economy. Policy regulations on production procedures in South Africa should be established to encourage advanced clean technologies in FDI production sectors

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Time-synchronous-averaging-spectrum based on super-resolution analysis and application in bearing fault signal identification

Ren,

Wang,

Tang

et al. 2024

J. Zhejiang Univ. Sci. A

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Dynamic Modeling and Simulation of Double-Planetary Gearbox Based on Bond Graph

Cited by 4 publications

References 14 publications

Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches

Bond Graph-Based Approach to Modeling Variable-Speed Gearboxes with Multi-Type Clutches

Ecological Footprint, Economic Uncertainty and Foreign Direct Investment in South Africa: Evidence From Asymmetric Cointegration and Dynamic Multipliers in a Nonlinear ARDL Approach

Time-synchronous-averaging-spectrum based on super-resolution analysis and application in bearing fault signal identification

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