Kinematic and power-flow analysis of bevel gears planetary gear trains with gyroscopic complexity

Pio, Germano Del; Pennestrı̀, Ettore; Valentini, P

doi:10.1016/j.mechmachtheory.2013.08.016

Cited by 21 publications

(6 citation statements)

References 24 publications

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“…To determine the active and passive shafts of each of the subsystems of the PGS, and thus to determine the directions of the power flow, it is necessary to determine the magnitudes and directions of the torque vectors acting on the shafts of the sun gears, ring gears, and carriers of each subsystem. At this stage of calculations, it is possible to determine the magnitudes and directions of the torque without considering power losses, using graphical and analytical methods, including the free body diagram [172,173] and lever or nomograph methods [119][120][121]126,[128][129][130][144][145][146]149,155]. The most popular techniques due to the possibility of automating calculations are the methods of classical directed or undirected graphs, signal graph, and contour graphs [12,142,[144][145][146]162,169,177].…”

Section: Static Analysis Without Considering Meshing Frictionmentioning

confidence: 99%

Power Flow in Coupled Three-Row Series-Parallel Planetary Gear System, Part I: Without Power Losses

Drewniak,

Kądziołka,

Rysiński

et al. 2023

Energies

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So far it is believed that, for every series-parallel planetary gear system (PGS), as a coupled gear, a very harmful phenomenon of power circulation must occur in at least one of its closed circuits. In this paper (Part I) and in the next two (Part II and Part III), it will be shown that it is possible to construct a three-row series-parallel PGS in which this phenomenon can be avoided. For this purpose, in Part I, a detailed analysis of the kinematics and statics of a planetary gear with power circulation inside a closed loop was carried out. The determination of the angular velocities of gears and carriers is carried out using Willis formulas and the graphical-analytical method (for verification), while the torques are determined using free body diagrams. The magnitudes of angular velocities and torques were used to determine the directions of power flows with improved energy balance equations in the reference frame related to the stationary gear body and, additionally, only to verify the energy balance equation in the mobile reference frame related to the carrier hi (i=2,5,8). The improvement of the methods was based on the use of the original concept of distinguishing active torque from reactive torque, as well as active power from reactive power, which made it very easy to determine the directions of the power flow. The determined paths of the power flow, including the power circulation in the analysed PGS, are presented graphically.

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Section: Static Analysis Without Considering Meshing Frictionmentioning

confidence: 99%

Power Flow in Coupled Three-Row Series-Parallel Planetary Gear System, Part I: Without Power Losses

Drewniak,

Kądziołka,

Rysiński

et al. 2023

Energies

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“…Other researches 81–83 were about topological synthesis of gear trains. Besides, some new researches about graph and gears are also presented in papers, 84–91 which introduce different analysis methods than before.…”

Section: Graph-based Literature Surveymentioning

confidence: 99%

A review of graph theory application research in gears

Xue

Yang

2015

Proceedings of the Institution of Mechanical Engineers, Part C:

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Graph theory has been applied to gear train analysis and synthesis for many years, and it is an effective and systematic modeling approach in the design process of gear transmission. Based on more than 100 references listed in this paper, a review about the graph-based method for kinematic and static force analysis, power flow, and mechanical efficiency computation is presented. The method is based on the concept of fundamental circuit corresponding to a basic epicyclic gear train. A 1-dof epicyclic gear train and a two-stage planetary gear train are used to illustrate the application of this method. Besides, isomorphism identification in the synthesis process and enumeration of 1-dof epicyclic gear train graphs are surveyed particularly. Also, the computerized methods for detection of redundant gears and degenerate structures in epicyclic gear trains are reviewed, respectively.

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“…A virtual power graph was employed by C Chen 8 to analyze the power flow of power-split planetary gear trains. Pennestrì and colleagues 9–11 studied the power flow of spur gear planetary gear transmission using graphical methods. Based on hypergraph and matrix operation, FC Yang et al 12 proposed a method for power flow analysis.…”

Section: Introductionmentioning

confidence: 99%

The multi-attribute topological graph method and its application on power flow analysis in closed planetary gear trains

Cui

Gao

et al. 2018

Advances in Mechanical Engineering

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The concept of multi-attribute topological graph is proposed in this article to represent the characteristics of both structure and state for typical one-degree-of-freedom planar spur closed planetary gear trains. This method is well applied in power flow analysis and provides a graphical view for the types, values, directions, and transmission relationship of power flow, especially for the recirculation power representation. Furthermore, a template model of multi-attribute topological graph for closed planetary gear trains is also presented, which would be helpful to the multi-attribute topological graph generation for some certain types of closed planetary gear trains just by changing symbols in the template model. A corresponding software is also developed to make the analysis process more convenient. By inputting different parameters, the different visual results can be obtained automatically, thus benefiting engineers in conceptual design.

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Kinematic and power-flow analysis of bevel gears planetary gear trains with gyroscopic complexity

Cited by 21 publications

References 24 publications

Power Flow in Coupled Three-Row Series-Parallel Planetary Gear System, Part I: Without Power Losses

Power Flow in Coupled Three-Row Series-Parallel Planetary Gear System, Part I: Without Power Losses

A review of graph theory application research in gears

The multi-attribute topological graph method and its application on power flow analysis in closed planetary gear trains

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