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Research Papers

An Approach to Power-Flow and Static Force Analysis in Multi-Input Multi-Output Epicyclic-Type Transmission Trains

[+] Author and Article Information
Essam L. Esmail

Department of Mechanical Engineering, Technical Institute of Diwaniya, Diwaniya, Iraq (0964)dr.essamesmail@yahoo.com

Shaker S. Hassan

Department of Mechanical Engineering, University of Technology, Baghdad, Iraqshaker.sakran@yahoo.co.uk

J. Mech. Des 132(1), 011009 (Dec 31, 2009) (10 pages) doi:10.1115/1.4000644 History: Received April 06, 2009; Revised October 26, 2009; Published December 31, 2009; Online December 31, 2009

This study contributes to the development of a systematic methodology for the torque and power-flow analyses of multi-input multi-output (MIMO) epicyclic gear mechanisms (EGMs) with or without reaction link based on the concept of fundamental circuit. The studies on power-flow analysis of EGMs are mostly done in the context of efficiency formulations. In the opinion of the authors, the design process of the MIMO mechanism involves not only finding the configuration that provides the correct velocity ratios but also meeting other kinematic requirements and ensuring that the two inputs have a mutually constructive nature. To demonstrate the analysis, a new motor/generator integrated hybrid transmission design is used to show how the torque acting on each link of an epicyclic gear train (EGT) can be systematically solved in terms of input torque(s) and/or controlled output torque. This paper presents a unification of kinematic and torque balance approaches for the analysis of MIMO epicyclic-type transmission trains. The results presented are meant to deepen the knowledge as to how and why a MIMO epicyclic-type transmission should operate in a certain way under the given conditions. In the process, this paper explores the theoretical bases of operation of the Toyota Hybrid System and the root cause of some confusion in the field of EGTs.

Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The EGTs used in the THS, tandem bicycle, and in the hybrid mobile robot as two-input trains

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Figure 2

A basic gear pair and its graph and schematic representation

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Figure 3

Fundamental-circuit diagram for the EGTs shown in Fig. 1

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Figure 4

A new hybrid transmission employing the Simpson gear train as the two-input mechanism with a reverse clutch CR

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Figure 5

Fundamental-circuit diagram of the EGT shown in Fig. 4

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Figure 6

The fundamental-circuit diagram of the EGT shown in Fig. 4 when links 3, 1, 4, and 2 serve as the first input, second input, fixed, and output links, respectively

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Figure 7

Torque flow through the EGT

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Figure 8

Power flow through the EGT

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Figure 9

The fundamental-circuit diagram of the EGT shown in Fig. 4 when links 1, 2, 4, and 3 serve as the first output, second output, fixed, and input links, respectively

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Figure 10

Power flow through the EGT for the case shown in Fig. 9

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Figure 11

The active fundamental-circuit diagram of the EGT shown in Fig. 4 when links 1, 2, and 3 serve as the first output, second output, and input links, respectively

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Figure 12

Torque flow through the EGT

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Figure 13

The active fundamental-circuit diagram of the EGT shown in Fig. 4 when links 3, 1, and 2 serve as the first input, second input, and output links, respectively.

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Figure 14

The fundamental-circuit diagram for the EGTs shown in Figs.  11 when links 1, 2, and 3 serve as the first input, second input, and output links, respectively

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Figure 15

Torque flow through the EGT for the case shown in Fig. 1

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Figure 16

Power flow through the EGT for the case shown in Fig. 1

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