Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains

Olson, Daniel G.; Erdman, Arthur G.; Riley, D. R.

doi:10.1115/1.2912743

Cited by 46 publications

(12 citation statements)

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“…Such methods have been reported in studies conducted by Tsai et al [9,10], Olson et al [11] and Castillo et al [12]. This method has been generalized for all types of gear mechanisms.…”

Section: Introductionmentioning

confidence: 83%

Design of Multiple Operating Degrees-of-Freedom Planetary Gear Trains With Variable Structure

Peng

Hu²,

Xie

et al. 2015

Journal of Mechanical Design

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To obtain multiple speed ratios, a synthesis methodology of planetary gear trains (PGTs) with multiple operating degrees of freedom (DOFs) is proposed based on the variable structure method. Variable structure of PGT is accomplished by changing the fixed interconnection edge. First, PGTs with two operating DOFs are synthesized with a deduction method based on the relationship between the number of planetary gear sets (PGSs) and number of fixed interconnection edges. Next, connection characteristics of fixed interconnection edges are defined as frequency of utilization to construct original speed ratios of the two operating DOFs schemes. The connection characteristics are then obtained based on the power-flow analysis. PGT graph model with connection characteristic is built to provide guidance in the design of varying structure. Finally, multi-speed PGTs with multiple operating DOFs are synthesized based on the graph model and lever analogy. A design example for three-PGS PGTs is considered to highlight capabilities of the variable structure method.

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“…Such methods have been reported in studies conducted by Tsai et al [9,10], Olson et al [11] and Castillo et al [12]. This method has been generalized for all types of gear mechanisms.…”

Section: Introductionmentioning

confidence: 83%

Design of Multiple Operating Degrees-of-Freedom Planetary Gear Trains With Variable Structure

Peng

Hu²,

Xie

et al. 2015

Journal of Mechanical Design

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“…The fourth branch is by Olson et al [78] who defined a coincident-joint graph of a geared chain in which the vertices adjacent to one another form a complete subgraph in 1991.…”

Section: Planetary Gear Mechanismsmentioning

confidence: 99%

On the Number of Specialized Mechanisms

Hung

Yan

2008

Volume 2: 32nd Mechanisms and Robotics Conference, Parts a and B

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This work presents a systematic procedure for completely generating the number of non-isomorphic specialized mechanisms from kinematic chains subject to design constraints for planar mechanisms. By assigning the specific types of members and joints in the available atlas of candidate kinematic chains, the atlas of specialized mechanisms are obtained. Furthermore, based on the combinatorial mathematics, the number of specialized mechanisms are counted and verified from the mathematical expressions. A motorcross suspension mechanism and the interior mechanism of Zhang Heng’s seismoscope are used as examples to illustrate this procedure.

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“…Meanwhile, continuous efforts have been made by researchers to express the structural characteristics of gear trains. For instance, coincident joint graph was presented by Olson et al, 13 canonical graph was provided by Chatterjee and Tsai, 14 and kinematic fractionated graph was introduced by DZ Chen and KL Yao. 15 Through these graphs, the mapping relationship between graph and structure was provided, and basic motion units were divided according to planets and so on.…”

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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Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains

Cited by 46 publications

References 0 publications

Design of Multiple Operating Degrees-of-Freedom Planetary Gear Trains With Variable Structure

Design of Multiple Operating Degrees-of-Freedom Planetary Gear Trains With Variable Structure

On the Number of Specialized Mechanisms

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

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