Kinematics and statics of a coupled epicyclic spur-gear train

Freudenstein, F.; Yang, A. T.

doi:10.1016/0094-114x(72)90008-0

Cited by 100 publications

(46 citation statements)

References 6 publications

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“…Since 1970 [24]the Graph Theory has been used successfully for the structural synthesis of EGTs and one year later Freudenstein [88] and, then, Yang [89] suggested a systematic procedure for kinematic analysis, force analysis and power-flow determination. The method was based on some characteristic properties of the labeled graph corresponding to any EGT, namely, the existence of a characteristic spanning tree which simplifies the detection of a particular set of fundamental circuits.…”

Section: The Identification Of the Transfer Vertex In Epicyclic Gear mentioning

confidence: 99%

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Pennestrı̀

Belfiore

2015

Mechanism and Machine Theory

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This paper celebrates a particular branch of Crossley's early work dedicated to Mechanism Science, which deals with a rigorous introduction of Graph Theory to the study of some fundamental and intrinsic properties of kinematic chains and mechanisms. Although such idea gave its main outcome in Type and Number Synthesis (which has been much better and extensively described in another paper of the present special issue) some other intriguing side effects appeared, later in Mechanism Science, which yielded several results, and are still in the center of research and industrial world interest, such as, to name but a few, the automatic generation of the equations governing kinematic, static force and dynamic analysis of mechanisms and geared trains, the power flow analysis, the computation of the efficiency and, finally, the never fully explored structure-to-function mapping, which the present contribution points out to be still a challenge in the field

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Section: The Identification Of the Transfer Vertex In Epicyclic Gear mentioning

confidence: 99%

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Pennestrı̀

Belfiore

2015

Mechanism and Machine Theory

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“…To compare the results of this methodology with others [10,[13][14][15][23][24][25], algebraic expressions for the torque relations can be written as follows.…”

Section: Design Examplementioning

confidence: 99%

“…Freudenstein and Yang [13] introduced the concept of fundamental circuit to analyze EGTs. e concept was further extended by other researchers [14,15].…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

Teaching Planetary Gear Trains with the Aid of Nomographs

Esmail

2013

Advances in Mechanical Engineering

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Planetary gear trains (PGTs) are introduced to undergraduate mechanical engineering students in the course of eory of Machines. e complexity of the traditional methods for analyzing PGTs has kept many from becoming familiar with the capability of PGTs in mechanisms and machine design. In this paper a uni�ed general formulation for simultaneously visualizing velocities, torques, and power �ow through a train is presented on a single nomograph. erefore, the increasing complex mechanical systems, such as automotive transmissions, are much easier to understand. Nomographs of Fundamental Gear Entities (FGEs) are constructed based on the nomographs of their fundamental circuits, without specifying the exact gear dimensions. ey are then uni�ed in one system nomograph. Nomographs are promising to provide designers with an efficient tool for the design of geared mechanisms.

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“…To overcome this difficulty, Freudenstein, Longman and Chen (1984) applied the dual relative velocity and dual matrix of transformation for the analysis of epicyclical bevel-gear trains. The most straightforward approaches make use of the theory of fundamental circuits introduced by Freudenstein and Yang (1972), Tsai, Chen and Lin (1998), Chang and Tsai (1989) and Hedman (1993) and show that the kinematical analysis of geared robotic mechanisms can be accomplished by applying this systematic method.…”

Section: Inverse Kinematics Modelmentioning

confidence: 99%

Dynamics analysis of the Minuteman cover drive

Staicu

2010

European Journal of Mechanics - A/Solids

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A B S T R A C TRecursive matrix relations in kinematics and dynamics analysis of a 1-DOF compound planetary gear train are established in the paper. The mechanism of the Minuteman cover drive is a system with four moving links and three gear pairs controlled by one electric motor. Knowing the rotation motion of the output link, the inverse dynamic problem is solved using an approach based on the principle of virtual work, but it has been verified the results in the framework of the Lagrange equations. Finally, some simulation graphs for the input and output angles of rotation, the torque and the power of the actuator are obtained.

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Kinematics and statics of a coupled epicyclic spur-gear train

Cited by 100 publications

References 6 publications

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

On Crossley's contribution to the development of graph based algorithms for the analysis of mechanisms and gear trains

Teaching Planetary Gear Trains with the Aid of Nomographs

Dynamics analysis of the Minuteman cover drive

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